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2
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(a) H. W. J. Blöte and H. J. Hilhorst, J. Phys. A 15, L631 (1982).
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(1982)
J. Phys. A
, vol.15
, pp. L631
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Hilhorst, H.1
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20
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0029247641
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such systems it is expected that a particular average pattern of order is selected when fluctuations are taken into account, but it is nontrivial to compute the selecting terms of free energy, since the potential minimum is flat rather than quadratic as a function of the spins
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The limit of S→∞ is well defined and has been simulated by Ref. 30 and by Y. Yamada, S. Miyashita, T. Horiguchi, M. Kang and O. Nagai, J. Magn. Magn. Mater. 140-144, 1749 (1995). It is interesting as a model which has an infinite number of continuous degrees of freedom (changes of (Formula presented) for loose spins), under which the energy is degenerate; in such systems it is expected that a particular average pattern of order is selected when fluctuations are taken into account, but it is nontrivial to compute the selecting terms of free energy, since the potential minimum is flat rather than quadratic as a function of the spins.
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(1995)
J. Magn. Magn. Mater.
, vol.140-144
, pp. 1749
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Yamada, Y.1
Miyashita, S.2
Horiguchi, T.3
Kang, M.4
Nagai, O.5
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22
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0642299013
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B. Kleine, E. Müller-Hartmann, K. Frahm and P. Fazekas, Z. Phys. B 87, 103 (1992).
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(1992)
Z. Phys. B
, vol.87
, pp. 103
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Kleine, B.1
Müller-Hartmann, E.2
Frahm, K.3
Fazekas, P.4
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26
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0346695785
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T. Ogawa and Y. Nakajima, Prog. Theor. Phys. (Suppl.) 87, 90 (1986), independently identified the height representation, but considered the height as defined modulo 6 (so "roughness" could not have been clearly defined, and the connection to power-law correlations was not evident).
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(1986)
Prog. Theor. Phys. (Suppl.)
, vol.87
, pp. 90
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Ogawa, T.1
Nakajima, Y.2
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27
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13044268246
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J. V. José, L. P. Kadanoff, S. R. Kirkpatrick and D. R. Nelson, Phys. Rev. B 16, 1217 (1977).
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(1977)
Phys. Rev. B
, vol.16
, pp. 1217
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José, J.1
Kadanoff, L.2
Kirkpatrick, S.3
Nelson, D.4
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28
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32444433851
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this is important in predicting the T>0 behavior
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It had long been noted that the triangular Ising model could be mapped approximately to a six-state clock model model [see E. Domany, M. Schick, J. S. Walker and R. B. Griffiths, Phys. Rev. B 18, 2209 (1978)], particularly in connection with the effect of adding a second-neighbor ferromagnetic interaction. The height mapping of the microstates is more powerful, in that it shows every excitation must correspond to vortex-antivortex pairs; this is important in predicting the T>0 behavior.
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(1978)
Phys. Rev. B
, vol.18
, pp. 2209
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Domany, E.1
Schick, M.2
Walker, J.3
Griffiths, R.4
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32
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0142210632
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the behavior is reminiscent of the S=∞ limit in our system (discussed in Ref. 18)
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P. Chandra, P. Coleman and L. B. Ioffe, Phys. Rev. B 49, 12 897 (1994) used a height representation to understand the phase diagram of another triangular antiferromagnet; the behavior is reminiscent of the S=∞ limit in our system (discussed in Ref. 18).
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(1994)
Phys. Rev. B
, vol.49
, pp. 12897
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Chandra, P.1
Coleman, P.2
Ioffe, L.3
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34
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21144470982
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T. Horiguchi, O. Nagai, S. Miyashita, Y. Miyatake and Y. Seo, J. Phys. Soc. Jpn. 61, 3114 (1992).
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(1992)
J. Phys. Soc. Jpn.
, vol.61
, pp. 3114
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Horiguchi, T.1
Nagai, O.2
Miyashita, S.3
Miyatake, Y.4
Seo, Y.5
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35
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0040943255
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H. G. Evertz, M. Hasenbusch, M. Marcu and K. Pinn, Physica A 199, 31 (1993).
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(1993)
Physica A
, vol.199
, pp. 31
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Evertz, H.1
Hasenbusch, M.2
Marcu, M.3
Pinn, K.4
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38
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0000898667
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G. G. Batrouni, G. R. Katz, A. S. Kronfeld, G. P. Lepage, B. Svetitsky and K. G. Wilson, Phys. Rev. D 32, 2736 (1985).
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(1985)
Phys. Rev. D
, vol.32
, pp. 2736
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Batrouni, G.1
Katz, G.2
Kronfeld, A.3
Lepage, G.4
Svetitsky, B.5
Wilson, K.6
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