Abstract
Low energy properties of non-metallic magnets can be described by a spin Hamiltonian of the form
where the double summation visits each spin pair once.
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References
We use the notation of S.W. Lovesey, Theory of Neutron Scattering from Condensed Matter, Clarendon Press., Oxford (1984).
Neutron scattering data reported in this paper mostly show the quantity \( \tilde{I}\left( {\vec{Q},\omega } \right) = \left( {1/2} \right)\sum\nolimits_{{\alpha \beta }} {\left( {{\delta_{{\alpha \beta }}} - {{\hat{Q}}_{\alpha }}{{\hat{Q}}_{\beta }}} \right)} {S^{{\alpha \beta }}}\left( {\vec{Q},\omega } \right) \) which is proportional to the scattering cross section of Eq. (7)
N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
J. Villain et al., J. Phys. (Paris) 41, 1263 (1980).
J. Lowenstein, in “Recent Advances in Field Theory and Statistical Physics”, Les Houches summer school 1982 session XXXIX, edited by L. B. Zuber and R. Stora, North Holland (1984).
E. Pradkin, “Field Theories of Condensed Matter Systems”, Addison-Wesley, Red Wood City, CA (1991).
I. U. Heilmann et al., Phys. Rev. B 18, 3530 (1978).
D. A. Tennant et al., Phys. Rev. Lett. 70, 4003 (1993).
D. C. Dender et al., Phys. Rev. B 53, 2583 (1996).
A. H. Bougourzi, M. Couture, and M. Kacir, Phys. Rev. B 54, R12669 (1996);
M. Karbach, G. Müller, and A. H. Bougourzi, Preprint cond-mat/9606068.
E. Pytte, Phys. Rev. 10, 4637 (1974).
N. Ishimura and H. Shiba, Prog. Theor. Phys. Jpn. 57, 6 (1977);
N. Ishimura and H. Shiba, Prog. Theor. Phys. Jpn. 57, 1862 (1977);
N. Ishimura and H. Shiba, Prog. Theor. Phys. Jpn. 64, 479 (1980).
G. Müller et al., Phys. Rev. B 24, 1429 (1981).
G. Baskaran, Z. Zou, and P. W. Anderson, Solid State Commun. 63, 973 (1987);
D. P. Arovas and A. Auerbach, Phys. Rev. B 38, 316 (1988).
D. C. Dender, P. R. Hammar, D. H. Reich, C. Broholm, and G. Aeppli, submitted to Phys. Rev. Lett. (1997).
M. Arai et al., Phys. Rev. Lett. 77, 3649 (1996).
Y. Endoh et al., Phys. Rev. Lett. 32, 170 (1974).
R. Coldea, D. A. Tennant, R. A. Cowley, D. F. McMorrow, B. Dorner, and Z. Tyl-czynski, preprint, (1997); See also a poster by the same authors at this conference.
Groen et al., Phys. Rev. B 22, 5369 (1980).
J. C. Bonner and M. E. Fisher, Phys. Rev. 135, A640 (1964).
M. Troyer, H. Tsunetsugu, and D. Würtz, Phys. Rev. B 50,
I. Affleck and Masaki Oshima, private communication (1997).
A. Tsvelik, private communication (1997).
T. Yosida, in “High Field Magnetism,” M. Date, ed., (North Holland, 1983), p. 305.
L. P. Regnault et al., J. Phys. C., 15, 1261 (1982).
I. U. Heilmann et al., Phys. Rev. B 24, 3939 (1981).
R. Chitra and T. Giamarchi, Phys. Rev B 55, 5816 (1997).
V. Kiryukhin, B. Keimer, and D. E. Moncton, Phys. Rev. Lett. 74, 1669 (1995).
V. Kiryukhin et al., Phys. Rev. Lett. 76, 4608 (1996).
F. D. M. Haldane, Phys. Lett. 93A, 464 (1983);
F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
Z. Tun et al., Phys. Rev. B 42, 4677 (1990), and references therein.
L. P. Regnault et al., Physica B 156–157, 247 (1989), and references therein.
S. Ma, C. Broholm, D.H. Reich, B.J. Sternlieb and R.W. Erwin Phys. Rev. Lett. 69, 3571 (1992).
L. P. Regnault, I. Zaliznyak, J. P. Renard, and C. Vettier, Phys. Rev. B 50, 9174 (1994).
H. Mutka et al., Phys. Rev. Lett. 67, 497 (1991).
J. F. Ditusa, S-W. Cheong, J.-H. Park, G. Aeppli, C. Broholm, and C. T. Chen Phys. Rev. Lett. 73, 1857 (1994).
Guangyong Xu, J. F. DiTusa, T. Ito, H. Takagi, K. Oka, C. Broholm and G. Aeppli, Phys. Rev. B 54, R6827 (1996).
T. Sakaguchi, K. Kakurai, T. Yokoo, J. Akimitsu, J. Phys. Soc. Japan, 65, 3025 (1996).
L. K. Chou, D. R. Talham, W. W. Kim, P. J. C. Signore, M. W. Meisel, Physica B 194–196, 313 (1994);
O. Avenel, J. Xu, J. S. Xia, M.-F. Xu, B. Andraka, T. Lang, P. L. Moyland, W. Ni, P. J. C. Signore, C. M. C. M. van Woerkens, E. D. Adams, G. G. Ihas, M. W. Meisel, S. E. Nagler, N. S. Sullivan, Y. Takano, D. R. Talham, T. Goto, N. Pujiwara, Phys. Rev. B 46, 865 (1992).
I. A. Zaliznyak, L.-P. Regnault, and D. Petitgrand, Phys. Rev. B 50, 15824 (1995).
I. Affleck, G. F. Wellman, Phys. Rev. B 46, 8934 (1992).
A. Zheludev, J. M. Tranquada, T. Vogt, D. J. Buttrey, NEurophys. Lett. 35, 385 (1996).
J. Darriet and L. P. Regnault, Solid State Comm. 86, 409 (1993).
S. R. White and D. A. Huse, Phys. Rev. B 48, 3844 (1993).
D. P. Arovas, A. Auerbach, and F. D. M. Haldane, Phys. Rev. Lett. 60, 531 (1988).
P. C. Hohenberg and W. F. Brinkman, Phys. Rev. B 10, 128 (1974).
M. P. Nightingale and H. Blöte, Phys. Rev. B 33, 659 (1986).
M. den Nijs and K. Rommelse, Phys. Rev. B 40, 4709 (1989).
E. Dagotto and T. M. Rice, Science,.271, 618 (1996).
G. Aeppli, T. E. Mason, H. A. Mook, and S. M. Hayden J. Phys. Chem. Solids 56 1911 (1996).
I. Syozi, p. 269 in “Phase transitions and critical phenomena”, 1, C. Domb and M. S. Green, Eds. (1972);
R. Liebmann, “Statistical Mechanics of Periodic Frustrated Ising Systems”, Springer Verlag, New York, (1986).
D. A. Huse and A. D. Rutenberg, Phys. Rev. B 45, 7536 (1992).
A. Chubukov, Phys. Rev. Lett. 69, 832 (1992).
A. B. Harris, C. Kallin, and A. J. Berlinsky, Phys. Rev. B 45, 2899 (1992).
J. N. Reimers and A. J. Berlinsky, Phys. Rev. B 48, 9539 (1993).
C. L. Henley and E. P. Chan, J. Magn. Magn. Matter. 140–144, (1995).
R. R. P. Singh and D. A. Huse, Phys. Rev. Lett. 68, 1766 (1992).
S. Sachdev, Phys. Rev. B 45, 12377, (1992).
I thank S. Solin for telling me this amusing story.
D. S. Greywall and P. A. Busch, Phys. Rev. Lett. 62, 1868 (1989).
V. Elser, Phys. Rev. Lett. 62, 2405 (1989).
D. Davidovic, S. Kumar, D. H. Reich, J. Siegel, S. B. Field, R. C. Tiberio, R. Hey, and K. Ploog, Phys. Rev. Let. 76, 815 (1996).
D. Davidovic et al. Phys. Rev. B 55, 6518 (1997).
X. Obradors et al., Solid State Commun. 65, 189 (1988).
A. P. Ramirez et al., Phys. Rev. Lett. 64, 2070 (1990);
A. P. Ramirez et al., Phys. Rev. B 45, 2505 (1992).
S.-H. Lee, C. Broholm, G. Aeppli, T. G. Perring, and B. Hessen, Phys. Rev. Lett. 76, 4424 (1996).
S. H. Lee, C. Broholm, G. Aeppli, A. P. Ramirez, T. G. Perring, C. Carlile, M. Adams, and B. Hessen, Europhys. Lett., 35, 127 (1996).
S.-H. Lee et al. (1997).
P. Chandra, P. Coleman, and I. Ritchey, Journal de Physique I, 3, 591 (1993)
G. Aeppli and P. Chandra, Science, 275, 177 (1997).
E. F. Shender, et al. Phys. Rev. Lett. 70, 3812 (1993).
C. L. Henley, private communications (1997).
D. Meschede et al., Phys. Rev. Lett. 44, 102 (1980).
B. I. Halperin and W. M. Saslow, Phys. Rev. B 16, 2154 (1977).
M. G. Townsend et al., Phys. Rev. B33, 4919 (1986).
M. F. Collins, unpublished.
S. H. Lee, C. Broholm, M. F. Collins, L. Heller, A. P. Ramirez, C. Kloc, E. Bûcher, R. W. Erwin, and N. Lacevic, submitted to Phys. Rev. B (1997).
A. S. Wills, A. Harrison, S. A. M. Mentink, T. E. Mason, an Z. Tun, preprint (1997).
H. J. Schulz, Phys. Rev. B 34, 6372 (1986).
M. Takahashi, Phys. Rev. Lett. 62, 2313 (1989).
K. Nomura Phys. Rev. B 40, 2421 (1989);
S. Liang, Phys. Rev. Lett. 64, 1597 (1990) obtains similar results.
G. Aeppli, C. Broholm, A.P. Ramirez, G.P. Espinosa and A.S. Cooper, Proceedings of the Yamada Conference on Magnetic Phase Transitions, J. Magn. Magn. Mater. 90–91, 255 (1990). Osaka (1990).
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Broholm, C. et al. (1998). Neutron Scattering Studies of Non-Metallic Low-Dimensional Quantum Antiferromagnets. In: Skjeltorp, A.T., Sherrington, D. (eds) Dynamical Properties of Unconventional Magnetic Systems. NATO ASI Series, vol 349. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4988-4_4
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DOI: https://doi.org/10.1007/978-94-011-4988-4_4
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