Skip to main content
SpringerLink
Log in

Spin—Orbit—Topology, a triptych

  • Chapter
  • First Online:
Quantum Magnetism

Part of the book series: Lecture Notes in Physics ((LNP,volume 645))

Abstract

Transition metal oxides that realize s=1/2 or s=1 quantum spin systems with low dimensionality or geometrically restricted connectivity are often described using simple concepts. We will discuss superexchange rules, the realization of depleted or open topologies using the lone pair concept and the effect of charge/orbital ordering. These considerations will be widened by a brief overview of important materials based on copper-oxygen, vanadium-oxygen and titaniumoxygen coordinations trying to highlight systematic dependencies with respect to structural and electronic elements or properties, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Y. Zavalij and M. S. Wittingham. Acta Cryst. B 55, 627 (1999).

    Article  Google Scholar 

  2. M. Imada, A. Fujimori, and Y. Tokura. Rev. Mod. Phys. 70, 1039 (1998).

    Article  ADS  Google Scholar 

  3. P. Fazekas. Lecture Notes on Electron Correlations and Magnetism, (World Scientific. Singapore, 1999).

    Book  Google Scholar 

  4. F. Mila. Eur. J. Phys. 21, 199 (2000).

    Article  Google Scholar 

  5. P. Millet, J. Y. Henry, F. Mila, and J. Galy. J. Solid. State Chem. 147, 676 (1999).

    Article  ADS  Google Scholar 

  6. J. G. Bednorz and K. H. Müller. Zeit. Phys. B 64, 189 (1986).

    Article  ADS  Google Scholar 

  7. J. Orenstein and A. J. Millis. Science 288, 468 (2000).

    Article  ADS  Google Scholar 

  8. J. Bardeen, L. N. Cooper, and J. R. Schriefer. Phys. Rev. 108, 1175 (1957).

    Article  ADS  MathSciNet  Google Scholar 

  9. F. C. Zhang and T. M. Rice. Phys. Rev. B 37, 3759 (1988).

    Article  ADS  Google Scholar 

  10. E. Dagotto. Reviews Mod. Phys. 66, 763 (1994).

    Article  ADS  Google Scholar 

  11. W. Brenig. Phys. Rep. 251, 154 (1995).

    Article  ADS  Google Scholar 

  12. M. R. Norman and C. Pepin. Rep. Prog. Phys. 66, 1546 (2003).

    Article  ADS  Google Scholar 

  13. E. Ya. Sherman, O. V. Misochko, and P. Lemmens. in Spectroscopy of High Temperature Superconductors. Ed. N. M. Plakida, Taylor & Francis Inc., London and New York, 2003.

    Google Scholar 

  14. H. F. Fong, P. Bourges, Y. Sidis, L. P. Regnault, A. Ivanov, G. D. Gu, N. Koshizuka and B. Keimer. Nature 398, 588 (1999).

    Article  ADS  Google Scholar 

  15. P. Bourges, Y. Sidis, H. F. Fong, L. P. Regnault, J. Bossy, A. Ivanov, and B. Keimer. Science 288, 1234 (2000).

    Article  ADS  Google Scholar 

  16. H. F. Fong, P. Bourges, Y. Sidis, L. P. Regnault, J. Bossy, A. Ivanov, D. L. Milius, I. A. Aksay, and B. Keimer. Phys. Rev. 61, 14773 (2000).

    Article  Google Scholar 

  17. J. M. Tranquada, J. D. Axe, N. Ichikawa, Y. Nakamura, S. Uchida, and B. Nachumi. Phys. Rev. B 54, 7489 (1996).

    Article  ADS  Google Scholar 

  18. J. Tranquada, in Neutron Scattering in Layered Copper-Oxide Superconductors, edited by A. Furrer (Kluver Acad. Publ., Dordrecht, 1998), pp. 225–260.

    Chapter  Google Scholar 

  19. P. Wochner, J. M. Tranquada, D. J. Buttrey, and V. Sachnan, Phys. Rev. B 57, 1066 (1998).

    Article  ADS  Google Scholar 

  20. Yu. Pashkevich, V. A. Blinkin, V. P. Gnezdilov, V. V. Tsapenko, V. V., Eremenko, P. Lemmens, M. Fischer, M. Grove, G. Güntherodt, L. Degiorgi, P. Wachter, J. M. Tranquada, D. J. Buttrey, Phys. Rev. Lett. 84, 3919 (2000).

    Article  ADS  Google Scholar 

  21. N. D. Mermin and H. Wagner. Phys. Rev. Lett. 17, 1133 (1966).

    Article  ADS  Google Scholar 

  22. R. J. Birgenean and G. Shirane. Phys. Today Dec. 32 (1978).

    Google Scholar 

  23. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, Graduate Texts in Contemporary Physics, New York, 1994).

    Book  Google Scholar 

  24. S. Sachdev, Quantum Phase Transitions (Cambridge University Press Cambridge, 1999).

    MATH  Google Scholar 

  25. S. Sachdev. Science 288, 475 (2000).

    Article  ADS  Google Scholar 

  26. S. Sachdev, Reviews of Modern Physics 75, 913 (2003).

    Article  ADS  Google Scholar 

  27. P. Lemmens, in Spectroscopy of Emergent Materials, edited by E. Faulques, D. Perry, and A. Yeremenko (Kluver Acad, Publ, Dordrecht, 2004), in print.

    Google Scholar 

  28. G. S. Uhrig and H. J. Schulz. Phys. Rev. B 54, R9624 (1996).

    Article  ADS  Google Scholar 

  29. E. Sorensen, I. Affleck, D. Augier. and D. Poilblanc. Phys. Rev. B 58, 14701 (1998).

    Article  ADS  Google Scholar 

  30. I. Affleck, in Dynamical Properties of Unconventional Magnetic Systems, NATO ASI Series E: Applied Sciences-Vol. 349 edited by A. T. Skjeltrop and D. Sherrington (Kluwer Acad. Publ., Dordrecht, 1998). pp, 123–131.

    Chapter  Google Scholar 

  31. V. N. Kotov, O. P. Sushkov, and R. Eder, Phys. Rev. B 59, 6266 (1999).

    Article  ADS  Google Scholar 

  32. S. Trebst, H. Monien, C. J. Hamer, Z. Weihong, and R. R. P. Singh. Phys. Rev. Lett. 85, 4373 (2000).

    Article  ADS  Google Scholar 

  33. V. N. Kotov, J. Oitmaa, O. P. Sushkov, and W. H. Zheng, Phys. Rev. B 60, 11613 (1999).

    Article  Google Scholar 

  34. Y. Fukumoto, J. Phys. Soc. Jpn. 69, 2755 (2000).

    Article  ADS  Google Scholar 

  35. C. Knetter, A. Bühler, E. Müller-Hartmann, and G. S. Uhrig, Phys. Rev. Lett. 85, 3958 (2000).

    Article  ADS  Google Scholar 

  36. P. Azaria, C. Hooley, P. Lecheminant, C. L'huillier, and A. M. Tsvelik. Phys. Rev. Lett. 81, 1694 (1998).

    Article  ADS  Google Scholar 

  37. V. N. Kotov, M. E. Zhitomirsky, and O. P. Sushkov, Phys. Rev. B 63, 64412 (2001).

    Article  ADS  Google Scholar 

  38. O. P. Sushkov, J. Oitmaa, and Z. Weihong, Phys. Rev. B 66, 054401 (2002).

    Article  ADS  Google Scholar 

  39. G. S. Uhrig, Phys. Rev. B 57, R14004 (1998).

    Article  ADS  Google Scholar 

  40. O. P. Sushkov, Phys. Rev. B 60, 14517 (1999).

    Article  ADS  Google Scholar 

  41. D. Augier, E. Sørensen, J. Riera, and D. Poilblanc, Phys. Rev. B 60, 1075 (1999).

    Article  ADS  Google Scholar 

  42. A. Zheludev, M. Kenzelmann, S. Raymond, T. Masuda, K. Uchinokura, and S.-H. Lee, Phys. Rev. B 65, 014402 (2002).

    Article  ADS  Google Scholar 

  43. B. Lake, D. A. Tennant, and S. E. Nagler, Phys. Rev. B 85, 832 (2000).

    ADS  Google Scholar 

  44. H. Kageyama, M. Nishi, N. Aso, K. Ouizuka, T. Yoshihama K. Nukui, K. Kodama, K. Kakurai, and Y. Ueda, Phys. Rev. Lett. 84, 5876 (2000).

    Article  ADS  Google Scholar 

  45. H. Nojiri, H. Kageyama, K. Onizuka, Y. Ueda, and M. Motokawa, J. Phys. Soc. Jpn. 68, 2906 (1999).

    Article  ADS  Google Scholar 

  46. P. Lemmens, M. Grove, M. Fischer, G. Güntherodt, V. N. Kotov, H. Kageyama, K. Onizuka, and Y. Ueda, Phys. Rev. Lett. 85, 2605 (2000).

    Article  ADS  Google Scholar 

  47. S. Miyahara and K. Ueda, J. Phys.: Cond. Mat. 15, R327 (2003).

    ADS  Google Scholar 

  48. K. Ueda, H. Kontani, M. Sigrist, and P. A. Lee, Phys. Rev. Lett. 76, 1932 (1996).

    Article  ADS  Google Scholar 

  49. M. Johnsson, K. W. Törnroos, F. Mila, and P. Millet, Chem. Mater. 12, 2853 (2000).

    Article  Google Scholar 

  50. P. Lemmens, K.-Y. Choi, E. E. Kaul, C. Geibel, K. Becker, W. Brenig, R. Valentí, C. Gros, M. Johnsson, P. Millet, and F. Mila, Phys. Rev. Lett. 87, 227201 (2001).

    Article  ADS  Google Scholar 

  51. C. Gros, P. Lemmens, M. Vojta, R. Valentí, K. Y. Choi, H. Kageyama, Z. Hiroi, N. Mushnikov, T. Goto, M. Johnsson, and P. Millet, Phys. Rev. B 67 174405 (2003).

    Article  ADS  Google Scholar 

  52. J. Jensen, P. Lemmens, and C. Gros, Europhys. Lett. 64, 689 (2003).

    Article  ADS  Google Scholar 

  53. C. Gros, P. Lemmens, K. Y. Choi, G. Güntherodt, M. Baenitz, and H. Otto, Europhys. Lett. 60, 276 (2002).

    Article  ADS  Google Scholar 

  54. P. Lemmens, G. Güntherodt, and C. Gros, Physics Reports 375, 1 (2003).

    Article  ADS  Google Scholar 

  55. G. Els, G. S. Uhrig, P. Lemmens, H. Vonberg, P. H. M. van Loosdrecht, G. Güntherodt, O. Fujita, J. Akimitsu, G. Dhalenne, and A. Revcolevschi. Europhys. Lett. 43, 463 (1998).

    Article  ADS  Google Scholar 

  56. P. Lemmens, M. Fischer, M. Grove, G. Els, G. Güntherodt, M. Weiden, C. Geibel, and F. Steglich, Physica B 259–261, 1050 (1999).

    Article  Google Scholar 

  57. V. N. Muthukumar, C. Gros, W. Wenzel, R. Valentí, P. Lenmens, B. Eisener G. Güntherodt, M. Weiden, C. Gelbel, and F. Steglich, Phys. Rev. B 54, R9635 (1996).

    Article  ADS  Google Scholar 

  58. P. Lemmens, M. Fischen, G. Güntherodt, A. Mishchenko, M. Weiden, R. Hauptmann, C. Geibel, and F. Steglich, Phys. Rev. B 58, 14159 (1998).

    Article  ADS  Google Scholar 

  59. P. Lemmens, M. Fischer, G. Güntherodt, C. Gros, P. G. J. van Dongen, M. Weiden, W. Richter, C. Geibel, and F. Steglich, Phys. Rev. B 55, 15076 (1997).

    Article  ADS  Google Scholar 

  60. M. Fischer, P. H. M. van Loosdrecht, P. Lemmens, G. Güntherodt, B. Büchner, T. Lorenz, M. Breuer, J. Zeman, G. Martinez, G. Dhaleme, and A. Revcolevschi. Phys. Rev. B 57, 7749 (1998).

    Article  ADS  Google Scholar 

  61. J. Kikuchi, T. Matsuoka, K. Motoya, T. Yamauchi, and Y. Ueda, Phys. Rev. Lett. 88, 037603 (2002).

    Article  ADS  Google Scholar 

  62. D. Augier, D. Poilblanc, E. Sorensen, and I. Affleck, Phys. Rev. B 58, 9110 (1998).

    Article  ADS  Google Scholar 

  63. N. Laflorencie and D. Poilblanc, Phys. Rev. Lett. 90, 157202 (2003).

    Article  ADS  Google Scholar 

  64. M. G. Cottam and D. J. Lockwood, Light scottering in Magnetic Solids (Wiley-Interscience Publ. New York, 1986).

    Google Scholar 

  65. L. J. Pauling, J. Am. Chem. Soc. 57, 2680 (1935).

    Article  Google Scholar 

  66. A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddarthan, and B. S. Shastry. Nature 399, 333 (1999).

    Article  ADS  Google Scholar 

  67. A. T. Bramwell and M. J. P. Gingras, Science 294, 1495 (2001).

    Article  ADS  Google Scholar 

  68. M. E. Zhitomirsky, Phys. Rev. Lett. 88, 057204 (2002).

    Article  ADS  Google Scholar 

  69. M. E. Zhitomirsky, Phys. Rev. B 67, 104421 (2003).

    Article  ADS  Google Scholar 

  70. M. Mambrini and F. Mila, Eur. Phys. J. B 17, 651 (2000).

    Article  ADS  Google Scholar 

  71. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973).

    Article  Google Scholar 

  72. P. W. Anderson, Science 235, 1196 (1987).

    Article  ADS  Google Scholar 

  73. R. R. P. Singh and D. A. Huse, Phys. Rev. Lett. 68, 1766 (1992).

    Article  ADS  Google Scholar 

  74. A. P. Ramirez, Annu. Rev. Mater. Sci. 24, 453 (1994).

    Article  ADS  Google Scholar 

  75. A. P. Ramirez, Czech. Jour. of Phys. 46, 3247 (1996).

    Article  Google Scholar 

  76. P. Schiffer and A. P. Ramirez. Comments Cond. Mat. Phys. 18, 21 (1996).

    Google Scholar 

  77. M. F. Collins and O. A. Petrenko, Can. Jour. Phys. 75, 605 (1997).

    Article  ADS  Google Scholar 

  78. J. E. Greedau, J. Mater. Chem. 11, 37 (2001).

    Article  Google Scholar 

  79. R. Moessner, Canad. Jour. of Physics 79, 1283 (2001).

    Article  ADS  Google Scholar 

  80. I. S. Hagemann, Q. Huang, X. P. A. Gao, A. P. Ramirez, and R. J. Cava. Phys. Rev. Lett. 88, 894 (2001).

    Article  ADS  Google Scholar 

  81. G. Bouzerar, A. P. Kampf, and G. I. Japaridze, Phys. Rev. B 58, 3117 (1998).

    Article  ADS  Google Scholar 

  82. C. Waldtmann, H.-U. Everts, B. Bernu, C. Lhuillier, P. Sindzingre, P. Lecheminant, and L. Pierre, Eur. Phys. J. B 2, 501 (1998).

    Article  ADS  Google Scholar 

  83. A. P. Ramirez, B. Hessen, and M. Winklemann, Phys. Rev. Lett. 84, 2957 (2000).

    Article  ADS  Google Scholar 

  84. Y. Yamashita, N. Shibata, and K. Ueda. J. Phys. Soc. Jpn. 69, 242 (2000).

    Article  ADS  Google Scholar 

  85. A. K. Koleshuk, H.-J. Mikeska, and U. Schollwöck. Phys. Rev. B 63, 064418 (2001).

    Article  ADS  Google Scholar 

  86. Y. Tokura and N. Nagaosa, Science 462, 462 (2000).

    Article  ADS  Google Scholar 

  87. E. Saitoh, S. Okamoto, K. Takahashi, K. Tobe, K. Yamamoto, T. Kimura, S. Ishihara, S. Maekawa, and Y. Tokura, Nature 410, 180 (2001).

    Article  ADS  Google Scholar 

  88. J. van den Brink, Phys. Rev. Lett. 87, 217202 (2001).

    Article  ADS  Google Scholar 

  89. R. Maczono and N. Nagaosa. Phys. Rev. B 67, 064413 (2003).

    Article  ADS  Google Scholar 

  90. D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, Phys. Rev. B 52, 13368 (1995).

    Article  ADS  Google Scholar 

  91. B. Keimer, D. Casa, A. Ivanov, J. W. Lynn, M. V. Zimmermann, J. P. Hill, D. Gibbs, Y. Taguchi, and Y. Tokura, Phys. Rev. Lett. 85, 3946 (2000).

    Article  ADS  Google Scholar 

  92. G. Khaliullin and S. Maekawa, Phys. Rev. Lett. 85, 3950 (2000).

    Article  ADS  Google Scholar 

  93. J. van den Brink, G. Khaliullin, and D. Khomskii, in Colossal Magnetoresistise Manganites. ed. T. Chatterji (Kluwer Acad. Publ, Dordrecht, 2000).

    Google Scholar 

  94. S. K. Pati, R. R. P. Singh, and D. I. Khomskii, Phys. Rev. Lett. 81, 5406 (1998).

    Article  ADS  Google Scholar 

  95. M. Isobe and Y. Ueda, J. Phys. Soc. Jpn. 71, 1848 (2002).

    Article  ADS  Google Scholar 

  96. A. Seidel, C. A. Marianetti, F. C. Chou, G. Ceder, and P. A. Lee, Phys. Rev. B 67, 020405 (2003).

    Article  ADS  Google Scholar 

  97. E. A. Axtell, T. Ozawa, S. M. Kauzlarich, and R. R. P. Singh. Journ. Solid State Chem. 134, 423 (1997).

    Article  ADS  Google Scholar 

  98. M. Isobe, E. Ninomiya, A. V. Vasil'ev, and Y. Ueda, J. Phys. Soc. Jpn. 71, 1423 (2002).

    Article  ADS  Google Scholar 

  99. E. G. Tulsky and J. R. Long, Chem. Mater. 13, 1149 (2001).

    Article  Google Scholar 

  100. ICSD, Inorganic Crystal Structure Database, FIZ-Karlsruhe, http://www.fizinformationsdienste.de/en/DB/icsd/index.html.

    Google Scholar 

  101. Z. Hiroi, M. Hanawa, N. Kobayashi, M. Nohara, H. Takagi, Y. Kato, and M. Takigawa, J. Phys. Soc. Jpn. 70, 3377 (2001).

    Article  ADS  Google Scholar 

  102. S. Okubo, H. Ohta, K. Hazuki, T. Sakurai, N. Kobayashi, and Z. Hiroi, Physica B 294, 75 (2001).

    Article  ADS  Google Scholar 

  103. K. Takano, K. Kubo, and H. Sakamoto, J. Phys.: Cond. Mat. 8, 6405 (1996).

    ADS  Google Scholar 

  104. E. Janod, L. Leonyuk, and V. Maltsev, Solid State Commun. 116, 513 (2001).

    Article  ADS  Google Scholar 

  105. S. Vilminot, M. Richard-Plouet, G. André, D. Swierczynski, M. Guillot, F. Bourée-Vigneron, and M. Drillon, J. Solid State Chem. 170, 255 (2003).

    Article  ADS  Google Scholar 

  106. P. E. D. Morgan, D. E. Partin, B. L. Chamberland, M. O'Keeffe. J. Solid State Chem. 121, 33–37 (1996).

    Article  ADS  Google Scholar 

  107. P. Monod, Proceedings of the GDR, Oxydes a Propriete Remarquables. Aussois, France, 13–15 Sept. 2000, Poster 38 (2000).

    Google Scholar 

  108. V. A. Pashchenko, A. Sulpice, F. Mila, P. Millet, A. Stepanov, and P. Wyder, Eur. Phys. J. B 21, 473 (2001).

    Article  ADS  Google Scholar 

  109. P. Millet, B. Bastide, V. Pashchenko, S. Gnatchenko, V. Gapon, Y. Ksari, and A. Stepanov, J. Mater. Chem. 11, 1152 (2001).

    Article  Google Scholar 

  110. M. Johnsson, K. W. Törnroos, P. Lemmens, and P. Millet, Chem. Mater. 15, 68 (2003).

    Article  Google Scholar 

  111. J. B. Goodenough, Phys. Rev. 100, 564 (1955).

    Article  ADS  Google Scholar 

  112. J. Kanamori, J. Phys. Chem. Solids 10, 87 (1959).

    Article  ADS  Google Scholar 

  113. P. W. Anderson, Solid state Phys. 14, 99 (1963).

    Google Scholar 

  114. W. Geertsma and D. Khomskii, Phys. Rev. B 54, 3011 (1996).

    Article  ADS  Google Scholar 

  115. S. van Smaalen, Z. Kristallogr. 214, 786 (1999).

    Google Scholar 

  116. Y. Ueda, Chem. Mater. 10, 2653 (1998).

    Article  Google Scholar 

  117. Y. Ueda, J. Phys. Soc. Jpn. 69, 149 (2000).

    Article  Google Scholar 

  118. T. Yamauchi, Y. Ueda and N. Mori, Phys. Rev. Lett. 89, 057002 (2002).

    Article  ADS  Google Scholar 

  119. D. C. Johnston, R. K. Kremer, M. Troyer, X. Wang, A. Klümper, S. Bud'ko, A. F. Panchula, and P. C. Canfield. Phys. Rev. B 61, 9558 (2000).

    Article  ADS  Google Scholar 

  120. D. C. Johnston, M. Troyer, S. Miyahara, D. Lidsky, K. Ueda, M. Azuma. Z. Hiroi, M. Takano, M. Isobe, Y. Ueda, M. A. Korotin, V. I. Anisimov, A. V. Mahajan, and L. L. Miller, cond-mat/0001147 (2000), unpublished.

    Google Scholar 

  121. N. Motoyama, H. Eisaki, and S. Uchida. Phys. Rev. Lett. 76, 3212 (1996).

    Article  ADS  Google Scholar 

  122. T. Ami, M. K. Crawford, R. L. Harlow, Z. R. Wang, D. C. Johnston, Q. Huang, and R. W. Erwin, Phys. Rev. B 51, 5994 (1995).

    Article  ADS  Google Scholar 

  123. K. Magishi, S. Matsumoto, Y. Kitaoka, K. Ishida, K. Asayama, M. Ueda, T. Nagata, and J. Akimitsn, Phys. Rev. B 57, 11533 (1998).

    Article  ADS  Google Scholar 

  124. H. Fujisawa, Y. Yokoya, T. Takahashi, S. Miyasake, M. Kibune, and H. Takagi, Phys. Rev. B 59, 7358 (1999).

    Article  ADS  Google Scholar 

  125. T. Osagawara, M. Ashida, N. Motoyama, H. Eisaki, S. Uchida, Y. Tokura, H. Gosh, A. Shukla, S. Mazumada, and M. Kuwata-Gonokami, Phys. Rev. Lett. 85, 2204 (2000).

    Article  ADS  Google Scholar 

  126. C. Kim, A. Y. Matsuura, Z.-X. Shen, N. Motovama, H. Eisaki, S. Uchida, and S. Maekawa, Phys. Rev. Lett. 77, 4054 (1996).

    Article  ADS  Google Scholar 

  127. B. Bleaney and K. D. Bowers, Proc. Roy. Soc. A 214, 451 (1952).

    Article  ADS  Google Scholar 

  128. J. C. Bonner and M. E. Fisher, Phys. Rev. 135, A640 (1964).

    Article  ADS  Google Scholar 

  129. H. Lneken. Magnetochemie, Einc Einführung in Theorie und Methoden (Teubver. Wiesbaden. 1999).

    Google Scholar 

  130. E. Dagotto, J. Riera, and D. J. Scalapino, Phys. Rev. B 45, 5741 (1992).

    ADS  Google Scholar 

  131. E. Dagotto and T. M. Rice, Science 271, 618 (1996).

    Article  ADS  Google Scholar 

  132. T. M. Rice, S. Gopalan, and M. Sigrist, Europhys. Lett. 23, 445 (1993).

    Article  ADS  Google Scholar 

  133. M. Sigrist, T. M. Rice, and F. C. Zhang, Phys. Rev. B 49, 12058 (1994).

    Article  ADS  Google Scholar 

  134. T. M. Rice, S. Haas, M. Sigrist, and F. C. Zhang, Phys. Rev. B 56, 14655 (1997).

    Article  ADS  Google Scholar 

  135. E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999).

    Article  ADS  Google Scholar 

  136. A. Oosawa, T. Takamasu, K. Tatani, H. Abe, N. Tsujii, O. Suzuki, H. Tanaka, K. Gido, and K. Kindo, Phys. Rev. B 61, 104405 (2002).

    Article  ADS  Google Scholar 

  137. T. Kato, K. Takatsu, H. Tanaka, W. Shiramura, M. Mori, K. Nakajima, and K. Kakurai, J. Phys. Soc. Jpn. 67, 752 (1998).

    Article  ADS  Google Scholar 

  138. K. Takatsu, W. Shiramura, H. Tanaka, T. Kambe, H. Nojiri, and M. Motokawa, Jour. Magn. Mag. Mat. 177–181, 697 (1998).

    Article  Google Scholar 

  139. N. Cavadini, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer, and H. Mutka, Eur. Phys. Journ. B 7, 519 (1999).

    Article  ADS  Google Scholar 

  140. A. Oosawa, T. Kato, H. Tanaka, H. Uekusa, Y. Ohashi, K. Nakajima, K. Nishi, and K. Kakurai, J. Phys. Soc. Jpn., Suppl. A 70, 166 (2000).

    Google Scholar 

  141. A. Oosawa, T. Kato, H. Tanaka, K. Kakurai, M. Müller, and H.-J. Mikeska, Phys. Rev. B 65, 094426 (2002).

    Article  ADS  Google Scholar 

  142. B. Kurniawan, M. Ishikawa, T. Kato, H. Tanaka, K. Takizawa, and T. Goto, J. Phys.: Cond. Mat. 11, 9073 (1999).

    ADS  Google Scholar 

  143. A. Oosawa, M. Nishi, and H. Tanaka, J. Phys.: Cond. Mat. 11, 265 (1999).

    ADS  Google Scholar 

  144. T. Nikuni, M. Oshikawa, A. Oosawa, and H. Tanaka, Phys. Rev. Lett. 84, 5868 (2000).

    Article  ADS  Google Scholar 

  145. O. Vyaselev, M. Takigawa, A. Vasilev, A. Oosawa, and H. Tanaka, Physica B 329, 892 (2003).

    Article  ADS  Google Scholar 

  146. E. Y. Sherman, P. Lemmens, B. Busse, A. Oosawa, and H. Tanaka, Phys. Rev. Lett. 91, 057201 (2003).

    Article  ADS  Google Scholar 

  147. K.-Y. Choi, G. Güntherodt, A. Oosawa, H. Tanaka, and P. Lemmens, Phys. Rev. B 68, 174412 (2003).

    Article  ADS  Google Scholar 

  148. D. C. Cabra and M. D. Grynberg, Phys. Rev. Lett. 82, 1768 (1999).

    Article  ADS  Google Scholar 

  149. D. C. Cabra, A. Honecker, and P. Pujol, Eur. Phys. J. B 13, 55 (2000).

    Article  ADS  Google Scholar 

  150. W. Shiramura, K. Takatsu, B. Kurniawan, H. Tanaka, H. Uckusa, Y. Ohashi, K. Takizawa, H. Mitamura, and T. Goto, J. Phys. Soc. Jpn. 67, 1548 (1998).

    Article  ADS  Google Scholar 

  151. M. Oshikawa, M. Yamanaka, and I. Affleck, Phys. Rev. Lett. 78, 1984 (1997).

    Article  ADS  Google Scholar 

  152. D. C. Cabra, A. Honecker, and P. Pujol, Phys. Rev. Lett. 79, 5126 (1997).

    Article  ADS  Google Scholar 

  153. K. Totsuka, Phys. Rev. B 57, 3454 (1998).

    Article  ADS  Google Scholar 

  154. K. Tandon, S. Lal, S. K. Pati, S. Ramasesha, and D. Sen, Phys. Rev. B 59, 396 (1999).

    Article  ADS  Google Scholar 

  155. B. S. Shastry and B. Susherland, Phys. Rev. Lett. 47, 964 (1981).

    Article  ADS  Google Scholar 

  156. A. Koga, J. Phys. Soc. Jpn. 69, 3509 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  157. H. Kageyama, J. Phys. Soc. Jpn. 69, 65 (2000).

    Google Scholar 

  158. S. Sachdev and N. Read, Phys. Rev. Lett. 77, 4800 (1996).

    Article  ADS  Google Scholar 

  159. K. Kodama, H. Harashina, H. Sasaki, Y. Kobayashi, M. Kasai, S. Taniguchi, Y. Yasui, M. Sato, K. Kakurai, T. Mori, and M. Nishi, J. Phys. Soc. Jpn. 66, 793 (1997).

    Article  ADS  Google Scholar 

  160. S. Miyahara and K. Ueda, Phys. Rev. Lett. 82, 3701 (1999).

    Article  ADS  Google Scholar 

  161. Z. Weihong, C. J. Hamer, and J. Oitmaa, Phys. Rev. B 60, 6608 (1999).

    Article  ADS  Google Scholar 

  162. K. Onizuka, H. Kageyama, Y. Narumi, K. Kindo, Y. Ueda, and T. Goto, J. Phys. Soc. Jpn. 69, 1016 (2000).

    Article  ADS  Google Scholar 

  163. K. Kodama, M. Takigawa, M. Horvati, C. Berthier, H. Kageyama, Y. Ueda, S. Miyahara, F. Becca, and F. Mila, Science 298, 395 (2003).

    Article  ADS  Google Scholar 

  164. M. Hase, I. Terasaki, and K. Uchinokura, Phys. Rev. Lett. 70, 3651 (1993).

    Article  ADS  Google Scholar 

  165. M. Hase, I. Terasaki, K. Uchinokura, M. Tokunaga, N. Miura, and H. Obara, Phys. Rev. B 48, 9616 (1993).

    Article  ADS  Google Scholar 

  166. J. P. Boucher and L. P. Regnault, J. Phys. I (Paris) 6, 1939 (1996).

    Google Scholar 

  167. G. Wellein, H. Fehske, and A. P. Kampf, Phys. Rev. Lett. 81, 3956 (1998).

    Article  ADS  Google Scholar 

  168. V. P. Plakhty, J. Kulda, D. Visser, E. V. Moskvin, and J. Wosnitza, Phys. Rev. Lett. 85, 3942 (2000).

    Article  ADS  Google Scholar 

  169. P. Calabrese, P. Parruccini, and A. I. Sokolov, Phys. Rev. B 66, 180403 (2002).

    Article  ADS  Google Scholar 

  170. P. Calabrese, E. V. Orlov, P. Parruccini, and A. I. Sokolov, Phys. Rev. B 67, 024413 (2003).

    Article  ADS  Google Scholar 

  171. M. Enderle, Z. Tun, W. J. L. Buyers, and M. Steiner, Phys. Rev. B 59, 4235 (1999).

    Article  ADS  Google Scholar 

  172. J. Galy and A. Carpy, Acta Cryst. 31, 1794 (1975).

    Article  Google Scholar 

  173. J. C. Trombe, R. Enjalbert, A. Gleizes, and J. Galy, C. R. Acad. Sc. Paris, t. 297, 667 (1983).

    Google Scholar 

  174. J. C. Bouloux, I. Milosevic, and J. Galy, J. Solid State Chem. 16, 393 (1976).

    Article  ADS  Google Scholar 

  175. J. Choukroun, V. A. Pashchenko, Y. Ksari, J. Y. Henry, F. Mila, P. Millet, P. Monod, A. Stepanov, J. Dumas, and R. Buder, Eur. Phys. J. B 14, 655 (2000).

    Article  ADS  Google Scholar 

  176. J. C. Bouloux and J. Galy, J. Solid State Chem. B 29, 1335 (1973).

    Google Scholar 

  177. S. Taniguchi, T. Nishikawa, Y. Yasui, Y. Kobayashi, M. Sato, T. Nishioka, M. Kotani, and K. Sano, J. Phys. Soc. Jpn. 64, 2758 (1995).

    Article  ADS  Google Scholar 

  178. R. Mezli, P. Caretta, A. Lascialfari, M. Mambrini, M. Troyer, P. Millet, and F. Mila, Phys. Rev. Lett. 85, 1318 (2000).

    Article  ADS  Google Scholar 

  179. M. Onoda and N. Nishiguchi, J. Solid State Chem. 127, 359 (1999).

    Article  ADS  Google Scholar 

  180. R. Valentí, T. Saha-Dasgupta, J. V. Alvarez, K. Požgajčić, and C. Gros, Phys. Rev. Lett. 86, 5381 (2001).

    Article  ADS  Google Scholar 

  181. R. Enjalbert and J. Galy, Acta Cryst. C 42, 1467 (1986).

    Article  Google Scholar 

  182. J. Galy, J. Darriet, and P. Hagenmuller, Rev. Chim. Miner. 8, 509 (1971).

    Google Scholar 

  183. H. G. v. Schnering, Y. Grin, M. Kaupp, M. Somer, R. K. Kremer, O. Jepsen, T. Chatterji, and M. Weiden, Z. f. Kristallogr.-New Cryst. Struct. 213, 246 (1998).

    Google Scholar 

  184. A. Meetsma, J. L. D. Boer, A. Damascelli, J. Degoudez, A. Revcolevschi, and T. T. M. Palstra, Acta. Cryst. C 54, 1558 (1998).

    Article  Google Scholar 

  185. P. Millet, C. Satto, P. Setau, and I. Galy, J. Solid State Chem. 136, 56 (1998).

    Article  ADS  Google Scholar 

  186. T. Ohama, H. Yasuoka, M. Isobe, and Y. Ueda, J. Phys. Soc. Jpn. 66, 3008 (1997).

    Article  ADS  Google Scholar 

  187. P. Millet, C. Satto, J. Bouvoisin, B. Normand, K. Penc, M. Albrecht, and F. Mila, Phys. Rev. B 57, 5005 (1998).

    Article  ADS  Google Scholar 

  188. M. Isobe and Y. Ueda, J. Phys. Soc. Jpn. 65, 3142 (1996).

    Article  ADS  Google Scholar 

  189. Y. Fujii, H. Nakao, T. Yosihama, M. Nishi, K. Nakajima, K. Kakurai, M. Isobe, Y. Ueda, and H. Sawa, J. Phys. Soc. Jpn. 68, 326 (1997).

    Article  ADS  Google Scholar 

  190. T. Ohama, H. Yasuoka, M. Isobe, and Y. Ueda, Phys. Rev. B 59, 3299 (1999).

    Article  ADS  Google Scholar 

  191. H. Nakao, K. Ohwada, N. Takesue, Y. Fujii, M. Isobe, Y. Ueda, M. v. Zimmermann, J. P. Hill, D. Gibbs, J. C. Woicik, I. Koyama, and Y. Murakami, Phys. Rev. Lett. 85, 4349 (2000).

    Article  ADS  Google Scholar 

  192. S. Grenier, A. Toader, J. E. Lorenzo, Y. Joly, B. Grenier, S. Ravy, L. P. Regnault, H. Renevier, J. Y. Henry, J. Jegoudez, and A. Revcolevschi, Phys. Rev. B 65, 180101 (2002).

    Article  ADS  Google Scholar 

  193. C. Gros and R. Valentí, Phys. Rev. Lett. 82, 976 (1999).

    Article  ADS  Google Scholar 

  194. K. Ohwada, Y. Fujii, N. Takesue, M. Isobe, Y. Ueda, H. Nakao, Y. Wakabayashi, Y. Murakami, K. Ito, Y. Amemiya, Y. Fujihisa, K. Aoki, T. Shobu, Y. Noda, and N. Ikeda, Phys. Rev. Lett. 87, 086402 (2001).

    Article  ADS  Google Scholar 

  195. N. Suaud and M.-B. Lepetit, Phys. Rev. Lett. 88, 56405 (2002).

    Article  ADS  Google Scholar 

  196. A. D. Wadsley, Acta Crystallogr. 8, 695 (1955).

    Article  Google Scholar 

  197. H. Yamada and Y. Ueda, Physica B 284, 1651 (2000).

    Article  ADS  Google Scholar 

  198. M. Itoh, N. Akimoto, H. Yamada, M. Isobe, and Y. Ueda, J. Phys. Soc. Jpn. 69, 155 (2000).

    Article  Google Scholar 

  199. Y. Ueda, H. Yamada, M. Isobe, and T. Yamauchi, J. Alloys Compounds 317, 109 (2001).

    Article  Google Scholar 

  200. C. Presura, M. Popinciuc, P. H. M. van Loosdrecht, D. van der Marel, and M. Mostovoy, Phys. Rev. Lett. 90, 026402 (2003).

    Article  ADS  Google Scholar 

  201. T. Yamauchi, Y. Ueda, and N. Môri, Phys. Rev. Lett. 89, 057002 (2002).

    Article  ADS  Google Scholar 

  202. P. Millet, J.-Y. Henry, and J. Galy, Acta. Cryst. C55, 276 (1999).

    Article  Google Scholar 

  203. M. Isobe, Y. Ueda, Y. Oka, and T. Yao, Journ. Solid State Chem. 145, 361 (1999).

    Article  ADS  Google Scholar 

  204. F. Duc, P. Millet, S. Ravy, A. Thiollet, F. Chabre, A. M. Ghorayeb, F. Mila, A. Stepanov, Phys. Rev. B 69, 094102 (2004).

    Article  ADS  Google Scholar 

  205. J. C. Bouloux and J. Galy, Acta Crystallogr. B 29, 269 (1973).

    Article  Google Scholar 

  206. J. C. Bouloux and J. Galy, Acta Crystallogr. B 29, 1335 (1973).

    Article  Google Scholar 

  207. M. A. Korotin, I. S. Elfimov, V. I. Anisimov, M. Troyer, and D. I. Khomskii, Phys. Rev. Lett. 83, 1387 (1999).

    Article  ADS  Google Scholar 

  208. M. Mambrini and F. Mila, Physica B 259–261, 967 (1999).

    Article  Google Scholar 

  209. P. A. Carpy and J. Galy, Acta Cryst. B 31, 1481 (1975).

    Article  Google Scholar 

  210. K. J. Range and R. Zintl, Z. Naturforsch. Teil B 43, 309 (1988).

    Google Scholar 

  211. M. D. Lumsden, B. C. Sales, D. Mandrus, S. E. Nagler, and J. Thompson, Phys. Rev. Lett. 86, 159 (2001).

    Article  ADS  Google Scholar 

  212. E. Manonsakis, Rev. Mod. Phys. 63, 1 (1991).

    Article  ADS  Google Scholar 

  213. T. Barnes, Int. J. Mod. Phys. C 2, 659 (1991).

    Article  ADS  Google Scholar 

  214. P. Chandra, P. Coleman, and A. I. Larkin, Phys. Rev. Lett. 64, 88 (1990).

    Article  ADS  Google Scholar 

  215. P. Chandra and B. Douoout, Phys. Rev. B 38, 9335 (1988).

    Article  ADS  Google Scholar 

  216. H. J. Schulz and T. A. L. Ziman, Europhys. Lett. 18, 355 (1992).

    Article  ADS  Google Scholar 

  217. H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I (France) 6, 675 (1996).

    Article  Google Scholar 

  218. S. Sorella, Phys. Rev. Lett. 80, 4558 (1998).

    Article  ADS  Google Scholar 

  219. L. Capriotti and S. Sorella, Phys. Rev. Lett. 84, 3173 (2000).

    Article  ADS  Google Scholar 

  220. P. Millet and C. Satto, Mater. Res. Bul. 33, 1339 (1998).

    Article  Google Scholar 

  221. R. Mezli, S. Aldrovandi, F. Tedoldi, P. Caretta, P. Millet, and F. Mila, Phys. Rev. B 64, 024409 (2001).

    Article  ADS  Google Scholar 

  222. P. Caretta, R. Meli, N. Papinutto, and P. Millet, Phys. Rev. Lett. 88, 047601 (2002).

    Article  ADS  Google Scholar 

  223. H. Rosner, R. R. P. Singh, W. H. Zheng, J. Oitmaa, S. L. Drechsler, and W. E. Pickett, Phys. Rev. Lett. 88, 186405 (2002).

    Article  ADS  Google Scholar 

  224. H. Rosner, R. R. P. Singh, W. E. Picket, W. H. Zheng, and J. Oitmaa, Int. J. Mod. Phys. B 16, 1649 (2002).

    Article  ADS  Google Scholar 

  225. H. Rosner, R. R. P. Singh, W. H. Zhenga, J. Oitmaa, and W. E. Pickett, Phys. Rev. B 67, 014416 (2003).

    Article  ADS  Google Scholar 

  226. G. Misguich, B. Bernu, and L. Pierre, Phys. Rev. B 68, 113409 (2003).

    Article  ADS  Google Scholar 

  227. A. Bombardi, L. Paolasini, P. Carretta, P. Millet, and R. Caciuffo, private communication (2003).

    Google Scholar 

  228. P. Carretta, N. Papinutto, C. B. Azzoni, M. C. Mozzati, E. Pavarini, S. Gonthier, and P. Millet, Phys. Rev. B 66, 094420 (2002).

    Article  ADS  Google Scholar 

  229. J. L. Gavilano, D. Rau, S. Mushkolaj, H. R. Ott, P. Millet, and F. Mila, Phys. Rev. Lett. 90, 167202 (2003).

    Article  ADS  Google Scholar 

  230. J. L. Gavilano, D. Rau, S. Mushkolaj, H. R. Ott, P. Millet, and F. Mila. Physica B 312–313, 622 (2002).

    Article  Google Scholar 

  231. J. W. Bray, L. V. Iterrante, I. S. Jacobs, and J. C. Bonner, in Extended Linear Chain Compounds, edited by J. S. Miller (Plenum Press, New York, 1983), Chap. 7, pp. 353–415.

    Chapter  Google Scholar 

  232. R. Werner, C. Gros, and M. Braden, Phys. Rev. B 59, 14356 (1999).

    Article  ADS  Google Scholar 

  233. H. Ohashi, T. Fujita, and T. Osawa, J. Jpn. Assoc. Mineral. Petrol. Econ. Geol. 77, 305 (1982).

    Article  Google Scholar 

  234. E. Ninomiya, M. Isobe, Y. Ueda, M. Nishi, K. Ohoyama, H. Sawa, and T. Ohama, Physica B 329, 884 (2003).

    Article  ADS  Google Scholar 

  235. M. Isobe and Y. Ueda, J. Phys. Soc. Jpn. 65, 1178 (1996).

    Article  ADS  Google Scholar 

  236. M. J. Konstantinovic, J. van den Brink, Z. V. Popovic, V. V. Moshchalkov, M. Isobe, and Y. Ueda, Phys. Rev. B 69, 020409(R) (2004).

    Article  ADS  Google Scholar 

  237. H. Schaefer, F. Wartenpfuhl, and E. Weise, Zeit. Allg. Anorg. Chem. 295, 268 (1958).

    Article  Google Scholar 

  238. R. J. Beynon and J. A. Wilson, J. Phys.: Cond. Mat. 5, 1983 (1993).

    ADS  Google Scholar 

  239. T. Imai and F. C. Chou, cond-mat/0301425, subm, to Phys. Rev. Lett. (2003).

    Google Scholar 

  240. T. Saha-Dasgupta, R. Valentí, H. Rosner, and C. Gros, cond-mat/0312156 and subm. to Europhys. Lett. (2003).

    Google Scholar 

  241. Y. S. Lee, E. Abel, and F. C. Chou, pers. communication (2003).

    Google Scholar 

  242. P. Lemmens, K.-Y. Choi, G. Caimi, L. Degiorgi, N. N. Kovaleva, A. Seidel, and F. C. Chou, cond-mat/0307502, subm. to Phys. Rev. Lett. (2003).

    Google Scholar 

  243. V. Kataev, J. Baier, A. Möller, L. Jongen, G. Meyer, and A. Freimuth, Phys. Rev. B 68, 140405 (2003).

    Article  ADS  Google Scholar 

  244. Y. Ren, T. T. M. Palstra, D. I. Khomskii, A. A. Nugroho, A. A. Menovsky, and G. A. Sawatzky, Phys. Rev. B 62, 6577 (2000).

    Article  ADS  Google Scholar 

  245. S. Shin, S. Suga, M. Taniguchi, M. Fujisawa, H. Kanzaki, A. Fujimori, H. Daimon, Y. Ueda, K. Kosuge, and S. Kachi, Phys. Rev. B 41, 4993 (1990).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569, Stuttgart, Germany

    Peter Lemmens

  2. Centre d’Élaboration des Matériaux et d’Études Structurales, CNRS, BP 4347, 31055, Toulouse Cedex 4, France

    Patrice Millet

Authors
  1. Peter Lemmens
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Patrice Millet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ulrich Schollwöck Johannes Richter Damian J. J. Farnell Raymod F. Bishop

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag

About this chapter

Cite this chapter

Lemmens, P., Millet, P. (2004). Spin—Orbit—Topology, a triptych. In: Schollwöck, U., Richter, J., Farnell, D.J.J., Bishop, R.F. (eds) Quantum Magnetism. Lecture Notes in Physics, vol 645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0119600

Download citation

  • DOI: https://doi.org/10.1007/BFb0119600

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21422-9

  • Online ISBN: 978-3-540-40066-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation