Critical properties of XY model on two-layer Villain-ferromagnetic lattice |
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作者姓名: | 王漪 R. Quartu 刘晓彦 韩汝琦 堀口刚 |
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作者单位: | (1)Department of Computer and Mathematical Sciences, GSIS, Tohoku University 04, Sendai 980-8579, Japan; (2)Institute of Microelectronics, Peking University, Beijing 100871, China; (3)Institute of Microelectronics, Peking University, Beijing 100871, China; Department of Computer and Mathematical Sciences, GSIS, Tohoku University 04, Sendai 980-8579, Japan |
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基金项目: | Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, and the National Natural Science Foundation of China (Grant No 10234010). |
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摘 要: | We investigate phase transitions of the XY model on a two-layer square lattice which consists of a Villain plane (J) and a ferromagnetic plane (I), using Monte Carlo simulations and a histogram method. Depending on the values of interaction parameters (I,J), the system presents three phases: namely, a Kosterlitz-Thouless (KT) phase in which the two planes are critical for I predominant over J, a chiral phase in which the two planes have a chiral order for J predominant over I and a new phase in which only the Villain plane has a chiral order and the ferromagnetic plane is paramagnetic with a small value of chirality. We clarify the nature of phase transitions by using a finite size scaling method. We find three different kinds of transitions according to the values of (I,J): the KT transition, the Ising transition and an XY-Ising transition with ν=0.849(3). It turns out that the Ising or XY-Ising transition is associated with the disappearance of the chiral order in the Villain plane.
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关 键 词: | XY model chirality KT transition two-layer Villain lattice |
收稿时间: | 2003-05-16 |
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