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Prog. Theor. Phys. Supplement No.87 (1986) pp. 112-126

[ Full Text PDF : FREE ACCESS (1029K) ]

The Ground State and Thermodynamic Properties of Generalized Heisenberg Models on the Triangular Lattice

Seiji Miyashita

Department of Physics, University of Tokyo, Tokyo 113

(Received July 26, 1986)

Abstract:

The ground state configuration of generalized Heisenberg models, H = -[ Σ<ij> Jxy(Six Sjx + Siy Sjy) + Jz Siz Sjz]; - ∞ < Jxy, Jz < ∞, on the triangular lattice is investigated. Their thermodynamic properties are also studied by a harmonic approximation and by Monte Carlo simulation. In particular, reentrant phase transitions are found for the case Jz > 0 and Jz/Jxy > -0.5. Successive phase transitions are also found for the case Jz < 0 and -0.5 < Jxy/Jz < 1.0. Including the pure ferromagnetic case, a general phase diagram is presented.


URL : http://ptp.ipap.jp/link?PTPS/87/112/
DOI : 10.1143/PTPS.87.112

[ Full Text PDF : FREE ACCESS (1029K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 57 (1988) pp. 1934-1946 :
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  2. Journal of the Physical Society of Japan 60 (1991) pp. 1513-1522 :
    Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice
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  3. Journal of the Physical Society of Japan 61 (1992) pp. 308-321 :
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    Tsuyoshi Horiguchi, Ojiro Nagai and Seiji Miyashita
  4. Journal of the Physical Society of Japan 61 (1992) pp. 1758-1771 :
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    Meiro Chiba, Yoshitami Ajiro, Hikomitsu Kikuchi, Satoru Maegawa and Takeshi Morimoto
  5. Journal of the Physical Society of Japan 61 (1992) pp. 3114-3124 :
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    Tsuyoshi Horiguchi, Ojiro Nagai, Seiji Miyashita, Yukio Miyatake and Yoshiki Seo
  6. Journal of the Physical Society of Japan 61 (1992) pp. 3277-3286 :
    Vector Chiral Order in the Quantum XXZ Antiferromagnet on a Triangular Lattice Analyzed with the Super-Effective-Field Theory
    Tsutomu Momoi and Masuo Suzuki
  7. Journal of the Physical Society of Japan 61 (1992) pp. 3732-3744 :
    Ground-State Properties and Phase Diagram of the Quantum XXZ Antiferromagnet on a Triangular Lattice
    Tsutomu Momoi and Masuo Suzuki
  8. Journal of the Physical Society of Japan 63 (1994) pp. 1916-1927 :
    Thermodynamic Properties of Ising-Like Heisenberg Antiferromagnets with Anisotropic Coupling on the Hexagonal Lattice
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  9. Journal of the Physical Society of Japan 64 (1995) pp. 4609-4627 :
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    Takeo Takagi and Mamoru Mekata
  10. Journal of the Physical Society of Japan 65 (1996) pp. 1121-1122 :
    Quantum Fluctuation of the Anisotropic S = 1/2 Quantum Antiferromagnet on the Triangular Lattice
    Nobuo Suzuki and Fumitaka Matsubara
  11. Journal of the Physical Society of Japan 69 (2000) pp. 2250-2260 :
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    Takuya Arimori and Seiji Miyashita
  12. Journal of the Physical Society of Japan 70 (2001) pp. 532-537 :
    Entropy Effect on the Magnetization Process of Hexagonal XY-Like Heisenberg Antiferromagnets
    Seizo Watarai, Seiji Miyashita and Hiroyuki Shiba
  13. Journal of the Physical Society of Japan 73 (2004) pp. 1798-1804 :
    Quantum Fluctuation-induced Phase Transition in S=1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice
    Shin-ichiro Yoshikawa, Kouichi Okunishi, Makoto Senda and Seiji Miyashita
  14. Journal of the Physical Society of Japan 77 (2008) 074719 (8 pages) :
    Unique Phase Transition on Spin-2 Triangular Lattice of Ag2MnO2
    Hiroyuki Yoshida, Sascha Ahlert, Martin Jansen, Yoshihiko Okamoto, Jun-Ichi Yamaura, and Zenji Hiroi

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