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Neutron Scattering and Highly Frustrated Magnetism

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Book cover Introduction to Frustrated Magnetism

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 164))

Abstract

Neutron scattering is a paradigm technique for the determination of spin correlation functions. It is the method of choice for the study of magnetic order and magnetic interactions, and, in favourable cases, it may provide an unambiguous distinction between conventional paramagnetism and cooperative paramagnetism. This chapter is an introduction to neutron scattering with an emphasis on its interpretation in terms of spin correlation functions and generalised susceptibilities. The main aim is to illustrate how neutron scattering is used to interrogate the nature of the disordered and highly degenerate states that occur in highly frustrated magnets.

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References

  1. P.W. Anderson, Basic Notions of Condensed Matter Physics (Perseus Books Group, 1997)

    Google Scholar 

  2. J. Villain, Z. Phys. B 33, 31 (1979)

    Article  ADS  Google Scholar 

  3. V.F. Sears, Neutron Optics: An Introduction to the Theory of Neutron Optical Phenomena and Their Applications (Oxford University Press, 1989)

    Google Scholar 

  4. R.M. White, Quantum Theory of Magnetism, 2nd edn. (Springer, Berlin Heidelberg New York, 1983)

    Google Scholar 

  5. P.J. Brown, Magnetic form factors, Chap. 4.4.5, in International Tables for Crystallography, vol. C, ed. by A.J.C. Wilson (D. Reidel Publishing, Dordrecht, Holland, 1983–1993), pp. 391–399

    Google Scholar 

  6. S.W. Lovesey, Theory of Neutron scattering from Condensed Matter, vols. 1, 2 (Oxford University Press, 1984)

    Google Scholar 

  7. R.M. Moon, T. Riste, W.C. Koehler, Phys. Rev. 181, 920 (1969)

    Article  ADS  Google Scholar 

  8. W.G. Williams, Polarized Neutrons (Oxford University Press, 1988)

    Google Scholar 

  9. M.J. Cooper, R. Nathans, Acta Cryst. 23, 357 (1967)

    Article  Google Scholar 

  10. B. Dorner, Acta Cryst. A28, 319 (1972)

    Google Scholar 

  11. J. Rossat-Mignod, in Neutron Scattering, ed. by K. Skjold, D.L. Price, Methods in Experimental Physics, vol. 23C (Academic, New York, 1987)

    Google Scholar 

  12. A.S. Wills et al., J. Phys. Condens. Matter 18, L37 (2006)

    Article  ADS  Google Scholar 

  13. J.R. Stewart et al., J. Phys. Condens. Matter 16, L321 (2004)

    Article  ADS  Google Scholar 

  14. W. Marshall, R.D. Lowde, Rep. Prog. Phys. 31, 705 (1968)

    Article  ADS  Google Scholar 

  15. B. Grover Phys. Rev. 140 A1944 (1965)

    Article  Google Scholar 

  16. M.J. Harris et al., Phys. Rev. Lett. 79, 2554 (1997)

    Article  ADS  Google Scholar 

  17. H.E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, 1971)

    Google Scholar 

  18. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992)

    Google Scholar 

  19. S.T. Bramwell, M.J.P. Gingras, Science 294, 1495 (2001)

    Article  ADS  Google Scholar 

  20. R.W. Youngblood, J.D. Axe, Phys. Rev. B 23, 232 (1981)

    Article  ADS  Google Scholar 

  21. R.W. Youngblood, J.D. Axe, B.M. McCoy Phys. Rev. B 21, 5212 (1980)

    Google Scholar 

  22. S.V. Isakov et al., Phys. Rev. Lett. 95, 217201 (2005)

    Article  ADS  Google Scholar 

  23. C. Henley, Phys. Rev. B 71, 014424 (2005)

    Article  ADS  Google Scholar 

  24. M.P. Zinkin, M.J. Harris, T. Zeiske, Phys. Rev. B 56, 11786 (1997)

    Article  ADS  Google Scholar 

  25. T. Fennell et al., Nat. Phys. 3, 566 (2007)

    Article  Google Scholar 

  26. C. Castelnovo, R. Moessner, S.L. Sondhi, Nature 451, 42 (2008)

    Article  ADS  Google Scholar 

  27. T. Yavors’kii et al., Phys. Rev. Lett. 101, 037204 (2008)

    Article  ADS  Google Scholar 

  28. R. Ballou, E. Lelièvre-Berna, B. Fak, Phys. Rev. Lett. 76, 2125 (1996)

    Article  ADS  Google Scholar 

  29. S.-H. Lee et al., Nature 418, 856 (2002)

    Article  ADS  Google Scholar 

  30. K. Tomyasu et al., Phys. Rev. Lett. 101, 177401 (2008)

    Article  ADS  Google Scholar 

  31. L.D.C. Jaubert, P.C.W. Holdsworth, Nat. Phys. 5, 258 (2009)

    Article  Google Scholar 

  32. R. Moessner, J.T. Chalker, Phys. Rev. Lett. 80, 2929 (1998)

    Article  ADS  Google Scholar 

  33. S.T. Bramwell et al., Phys. Rev. Lett. 87, 047205 (2001)

    Article  ADS  Google Scholar 

  34. A.P. Ramirez et al., Nature 399, 333 (1999)

    Article  ADS  Google Scholar 

  35. T. Fennell et al., Phys. Rev. B 70, 134408 (2004)

    Article  ADS  Google Scholar 

  36. M. Kanada et al., J. Phys. Soc. Jpn. 71, 313 (2002)

    Article  ADS  Google Scholar 

  37. J.P. Clancy et al., Phys. Rev. B 79, 014408 (2009)

    Article  ADS  Google Scholar 

  38. T. Fennell et al., Phys. Rev. B 72, 224411 (2005)

    Article  ADS  Google Scholar 

  39. T. Fennell et al., Science 326, 415 (2009)

    Article  ADS  Google Scholar 

  40. K. Matsuhira et al., J. Phys. Condens. Matter 14, L559 (2002)

    Article  ADS  Google Scholar 

  41. G. Ehlers et al., J. Phys. Condens. Matter 15, L9 (2003)

    Article  ADS  Google Scholar 

  42. G Ehlers et al., J. Phys. Condens. Matter 16, S635 (2004)

    Google Scholar 

  43. S.T. Bramwell, M.J. Harris, J. Phys. Condens. Matter 10, L215 (1998)

    Article  ADS  Google Scholar 

  44. B. Canals, C. Lacroix, Phys. Rev. Lett. 80, 2933 (1998)

    Article  ADS  Google Scholar 

  45. M.P. Zinkin, M.J. Harris, T. Zeiske, Phys. Rev. B 56, 11786 (1997)

    Article  ADS  Google Scholar 

  46. J. Gardner et al., Phys. Rev. B 68, 180401 (2003)

    Article  ADS  Google Scholar 

  47. I. Mirabeau et al., Nature 420, 54 (2002)

    Article  ADS  Google Scholar 

  48. B.D. Gaulin et al., Physica B 241–243, 511 (1998)

    Google Scholar 

  49. B. F åk et al., Europhys. Lett. 81, 17006 (2008)

    Google Scholar 

  50. O.A. Petrenko et al., Phys. Rev. Lett. 80, 4570 (1998)

    Article  ADS  Google Scholar 

  51. J.R. Stewart, R. Cywinski, J. Phys. Condens. Matter 21, 124216 (2009)

    Article  ADS  Google Scholar 

  52. J.N. Reimers et al., Phys. Rev. B 45, 7295 (1991)

    Article  ADS  Google Scholar 

  53. H. Kawamura J. Phys. Soc. Jpn. 55, 2095 (1986)

    Google Scholar 

  54. J.D.M. Champion et al., Phys. Rev. B 68, 020401 (2003)

    Article  ADS  Google Scholar 

  55. S.T. Bramwell, M.J.P. Gingras, J.N. Reimers, J. Appl. Phys. 75, 5523 (1994)

    Article  ADS  Google Scholar 

  56. J.P. Ruff et al., Phys. Rev. Lett. 101, 147205 (2008)

    Article  ADS  Google Scholar 

  57. P.A. McClarty, S.H. Curnoe, M.J.P. Gingras, J. Phys. Conf. Ser. 145 012032 (2009)

    Article  ADS  Google Scholar 

  58. A. Poole, A.S. Wills, E. Lelièvre-Berna, J. Phys. Condens. Matter 19, 452201 (2007)

    Article  ADS  Google Scholar 

  59. J.D. Champion et al., Phys. Rev. B 64, 140407 (2001)

    Article  ADS  Google Scholar 

  60. S.E. Palmer, J.T. Chalker, Phys. Rev. B 62, 488 (2000)

    Article  ADS  Google Scholar 

  61. N.P. Raju et al., Phys. Rev. B 59, 14489 (1999)

    Article  ADS  Google Scholar 

  62. A.S. Wills, Phys. Rev. B 63, 064430 (1981)

    Article  ADS  Google Scholar 

  63. T. Inami et al., Phys. Rev. B 61, 12181 (2000)

    Article  ADS  Google Scholar 

  64. S. Rosenkranz et al., J. Appl. Phys. 87, 5914 (2000)

    Article  ADS  Google Scholar 

  65. M. Shirai, Ph.D. Thesis, University College London (2007)

    Google Scholar 

  66. K. Matan et al., Phys. Rev. Lett. 96, 247201 (2006)

    Article  ADS  Google Scholar 

  67. T. Yildirim, A.B., Harris, Phys. Rev. B 73, 214446 (2006)

    Google Scholar 

Download references

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Correspondence to Steven T. Bramwell .

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Bramwell, S.T. (2011). Neutron Scattering and Highly Frustrated Magnetism. In: Lacroix, C., Mendels, P., Mila, F. (eds) Introduction to Frustrated Magnetism. Springer Series in Solid-State Sciences, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10589-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-10589-0_3

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