Critical properties of XY model on two-layer Villain－ferromagnetic lattice
Wang Yi (王漪)ab, R. Quartub, Liu Xiao-Yan (刘晓彦)a, Han Ru-Qi (韩汝琦)a, Horiguchi Tsuyoshi (堀口刚)b
a Institute of Microelectronics, Peking University, Beijing 100871, China; b Department of Computer and Mathematical Sciences, GSIS, Tohoku University 04, Sendai 980-8579, Japan
Abstract 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 $\nu=0.849(3)$. It turns out that the Ising or XY-Ising transition is associated with the disappearance of the chiral order in the Villain plane.
Received: 16 May 2003
Revised: 14 July 2003
Accepted manuscript online:
(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
Fund: 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).
Cite this article:
Wang Yi (王漪), R. Quartu, Liu Xiao-Yan (刘晓彦), Han Ru-Qi (韩汝琦), Horiguchi Tsuyoshi (堀口刚), Critical properties of XY model on two-layer Villain－ferromagnetic lattice 2004 Chinese Physics 13 251
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