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 nontrivial 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 con rmed that the numerical and theoretical results agree well.
- The Physical Society of Japanの論文
著者
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Okada Masato
Division Of Transdisciplinary Of Sciences Graduate School Of Frontier Sciences The University Of Tok
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Uezu Tatsuya
Nara Women's Univ. Nara
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