Phase transitions in the fully frustrated triangular XY model

被引:55
作者
Lee, S [1 ]
Lee, KC
机构
[1] Seoul Natl Univ, Dept Phys, Seoul 151742, South Korea
[2] Seoul Natl Univ, Ctr Theoret Phys, Seoul 151742, South Korea
来源
PHYSICAL REVIEW B | 1998年 / 57卷 / 14期
关键词
D O I
10.1103/PhysRevB.57.8472
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate the phase transitions in the fully frustrated XY model on the triangular lattice via a microcanonical Monte Carlo method. It is found that the system has two separate phase transitions. At the lower temperature, a Kosterlitz-Thouless transition takes place with a larger-than-universal jump in the spin-wave stiffness. At a slightly higher temperature, the system undergoes a second-order chirality-lattice melting transition with exponents 1/nu=1.20(1) and gamma/nu=1.75(2), which are equal to those of the three-state Ports model apart from statistical uncertainty. We also calculate the universal specific heat amplitude ratio A(+)/A(-) and find it to be 1.05(5). This further suggests that the transition is the same universality class as that of the three-state Potts model since the exact value for the three-state Potts model is known to be unity.
引用
收藏
页码:8472 / 8477
页数:6
相关论文
共 36 条
[1]   Roughening and preroughening in the six-vertex model with an extended range of interaction [J].
Bastiaansen, PJM ;
Knops, HJF .
PHYSICAL REVIEW B, 1996, 53 (01) :126-135
[2]   Thermal excitations of frustrated XY spins in two dimensions [J].
Benakli, M ;
Zheng, H ;
Gabay, M .
PHYSICAL REVIEW B, 1997, 55 (01) :278-290
[3]  
Binder K., 1990, FINITE SIZE SCALING, P173
[4]   Transfer-matrix study of the staggered body-centered solid-on-solid model [J].
Carlon, E ;
Mazzeo, G ;
vanBeijeren, H .
PHYSICAL REVIEW B, 1997, 55 (02) :757-770
[5]   CRITICAL-BEHAVIOR OF PURE AND DILUTED XY MODELS WITH UNIFORM FRUSTRATIONS [J].
CHOI, MY ;
STROUD, D .
PHYSICAL REVIEW B, 1985, 32 (09) :5773-5775
[6]   PHASE-TRANSITIONS IN UNIFORMLY FRUSTRATED XY MODELS [J].
CHOI, MY ;
DONIACH, S .
PHYSICAL REVIEW B, 1985, 31 (07) :4516-4526
[7]   Roughening-induced deconstruction in (100) facets of CsCl-type crystals [J].
Davidson, D ;
denNijs, M .
PHYSICAL REVIEW E, 1997, 55 (02) :1331-1341
[8]   HELICITY MODULUS, SUPERFLUIDITY, AND SCALING IN ISOTROPIC SYSTEMS [J].
FISHER, ME ;
BARBER, MN ;
JASNOW, D .
PHYSICAL REVIEW A, 1973, 8 (02) :1111-1124
[9]   CRITICAL-BEHAVIOR OF THE TWO-DIMENSIONAL UNIFORMLY FRUSTRATED CHARGED COULOMB GAS [J].
GREST, GS .
PHYSICAL REVIEW B, 1989, 39 (13) :9267-9272
[10]   JOSEPHSON-JUNCTION ARRAYS IN TRANSVERSE MAGNETIC-FIELDS - GROUND-STATES AND CRITICAL CURRENTS [J].
HALSEY, TC .
PHYSICAL REVIEW B, 1985, 31 (09) :5728-5745