Ising model on a hyperbolic plane with a boundary

Ising model on a hyperbolic plane with a boundary

A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix calculations. We find a reasonable agreement with Monte Carlo calcu...

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Veröffentlicht in:arXiv.org 2011-09
Hauptverfasser: Baek, Seung Ki, Mäkelä, Harri, Minnhagen, Petter, Kim, Beom Jun
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Sprache:eng
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Computer simulation
Ferromagnetism
Ising model
Needlework
Physics - Statistical Mechanics
Transition points
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creator Baek, Seung Ki
Mäkelä, Harri
Minnhagen, Petter
Kim, Beom Jun
description A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix calculations. We find a reasonable agreement with Monte Carlo calculations on the transition point, and the resulting critical exponents suggest the mean-field surface critical behavior.
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subjects Computer simulation
Ferromagnetism
Ising model
Needlework
Physics - Statistical Mechanics
Transition points
title Ising model on a hyperbolic plane with a boundary
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