Phase Transition of the Ising Model on a Hyperbolic Lattice
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概要
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The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic $(5,4)$-lattice by means of the corner-transfer-matrix renormalization group (CTMRG) method. Calculated correlation length is always finite even at the transition temperature, where mean-field like behavior is observed. The entanglement entropy is also always finite.
- 2010-10-15
著者
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Gendiar Andrej
Institute Of Electrical Engineering Slovak Academy Of Sciences
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Nishino Tomotoshi
Department Of Physics Faculty Of Science Kobe University
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Ueda Hiroshi
Department Of Anatomy School Of Medicine University Of Occupational And Environmental Health
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Iharagi Takatsugu
Department of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan
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Gendiar Andrej
Institute of Electrical Engineering, Slovak Academy of Sciences, Dúbravská cesta 9, SK-841 04, Bratislava, Slovakia
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