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Volumn 76, Issue 8, 2007, Pages

Corner transfer matrix renormalization group method applied to the ising model on the hyperbolic plane

Author keywords

CTMRG; Curvature; Ising model; Scaling

Indexed keywords


EID: 34547893018     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.084004     Document Type: Article
Times cited : (50)

References (22)
  • 6
    • 0003808791 scopus 로고    scopus 로고
    • ed. I. Peschel, X. Wang, M. Kaulke, and K. Hallberg Springer, Berlin, and references therein
    • Density-Matrix Renormalization: A New Numerical Method in Physics, ed. I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999), and references therein.
    • (1999) Density-Matrix Renormalization: A New Numerical Method in Physics
  • 7
    • 23844520141 scopus 로고    scopus 로고
    • U. Schollwöck: Rev. Mod. Phys. 77 (2005) 259, and references therein.
    • U. Schollwöck: Rev. Mod. Phys. 77 (2005) 259, and references therein.
  • 12
    • 33751181871 scopus 로고    scopus 로고
    • Statistical Physics of Quantum Systems: Novel orders and dynamics
    • K. Ueda, R. Otani, Y. Nishio, A. Gendiar, and T. Nishino: Statistical Physics of Quantum Systems: novel orders and dynamics, J. Phys. Soc. Jpn. 74 (2005) Suppl., p. 111.
    • (2005) J. Phys. Soc. Jpn , vol.74 , Issue.SUPPL. , pp. 111
    • Ueda, K.1    Otani, R.2    Nishio, Y.3    Gendiar, A.4    Nishino, T.5
  • 15
    • 34547877308 scopus 로고    scopus 로고
    • A number of examples of the regular lattices on the hyperbolic plane is listed in the following URLs;, html; http://www.hadron.org/~hatch/HyperbolicTesselations
    • A number of examples of the regular lattices on the hyperbolic plane is listed in the following URLs; http://www2u.biglobe.ne.jp/~hsaka/mandara/index. html; http://www.hadron.org/~hatch/HyperbolicTesselations/
  • 16
    • 34547866216 scopus 로고    scopus 로고
    • Precisely speaking, such a way of system extension does not guarantee the cluster shape where every spins at the boundary is equally distant from the center
    • Precisely speaking, such a way of system extension does not guarantee the cluster shape where every spins at the boundary is equally distant from the center.
  • 18
    • 34547865826 scopus 로고    scopus 로고
    • Since the configuration number of the lattice is z = 4, the mean-field approximation applied to the Ising model on the pentagonal lattice under consideration gives the same transition temperature as the approximation applied to the square lattice Ising model. Such an equivalence holds up to the Bethe approximation.
    • Since the configuration number of the lattice is z = 4, the mean-field approximation applied to the Ising model on the pentagonal lattice under consideration gives the same transition temperature as the approximation applied to the square lattice Ising model. Such an equivalence holds up to the Bethe approximation.
  • 19
    • 84901050687 scopus 로고    scopus 로고
    • I. Peschel: J. Stat. Mech. (2004) P06004, and references therein.
    • I. Peschel: J. Stat. Mech. (2004) P06004, and references therein.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.