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Volumn 55, Issue 22, 1997, Pages 14935-14947

Zero-temperature phase transitions of an antiferromagnetic Ising model of general spin on a triangular lattice

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EID: 0009059263     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.14935     Document Type: Article
Times cited : (77)

References (40)
  • 2
    • 0001546262 scopus 로고
    • (a) H. W. J. Blöte and H. J. Hilhorst, J. Phys. A 15, L631 (1982).
    • (1982) J. Phys. A , vol.15 , pp. L631
    • Hilhorst, H.1
  • 20
    • 0029247641 scopus 로고
    • 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
    • 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.
    • (1995) J. Magn. Magn. Mater. , vol.140-144 , pp. 1749
    • Yamada, Y.1    Miyashita, S.2    Horiguchi, T.3    Kang, M.4    Nagai, O.5
  • 26
    • 0346695785 scopus 로고
    • 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).
    • (1986) Prog. Theor. Phys. (Suppl.) , vol.87 , pp. 90
    • Ogawa, T.1    Nakajima, Y.2
  • 28
    • 32444433851 scopus 로고
    • this is important in predicting the T>0 behavior
    • 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.
    • (1978) Phys. Rev. B , vol.18 , pp. 2209
    • Domany, E.1    Schick, M.2    Walker, J.3    Griffiths, R.4
  • 32
    • 0142210632 scopus 로고
    • the behavior is reminiscent of the S=∞ limit in our system (discussed in Ref. 18)
    • 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).
    • (1994) Phys. Rev. B , vol.49 , pp. 12897
    • Chandra, P.1    Coleman, P.2    Ioffe, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.