Analysis of XY Model with Mexican-Hat Interaction on a Circle ---Derivation of Saddle Point Equations and Study of Bifurcation Structure---
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概要
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In our previous study, we investigated a classical XY model on a circle by adopting the Mexican-hat type interaction, which is composed of uniform and location-dependent interactions. We solved the saddle point equations numerically and found three non-trivial solutions. In this study, we determined the phases of complex order parameters and derived the saddle point equations for stable and unstable nontrivial solutions and the formula of boundaries of bistable regions analytically. We performed Markov Chain Monte Carlo simulations and confirmed that the numerical and theoretical results agree well.
- 2012-06-15
著者
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Uezu Tatsuya
Graduate School Of Human Culture Nara Women's University
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KIMOTO Tomoyuki
Oita National College of Technology
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Okada Masato
Graduate School Of Engineering Science Osaka University
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Uezu Tatsuya
Graduate School of Sciences and Humanities, Nara Women's University, Nara 630-8506, Japan
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