Ground-state parameters, finite-size sealing, and low-temperature properties of the two-dimensional S=1/2 XY model

被引:62
作者
Sandvik, AW
Hamer, CJ
机构
[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Univ New S Wales, Sch Phys, Sydney, NSW 2052, Australia
来源
PHYSICAL REVIEW B | 1999年 / 60卷 / 09期
关键词
D O I
10.1103/PhysRevB.60.6588
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present high-precision quantum Monte Carlo results for the S=1/2 XY model on a two-dimensional square lattice, in the ground stare as well as at finite temperature. The energy, the spin stiffness, the magnetization, and the susceptibility are calculated and extrapolated to the thermodynamic limit. For the ground state, we test a variety of finite-size scaling predictions of effective Lagrangian theory and find good agreement and consistency between the finite-size corrections for different quantities. The low-temperature behavior of the susceptibility and the internal energy is also in good agreement with theoretical predictions. [S0163-1829(99)06733-8].
引用
收藏
页码:6588 / 6593
页数:6
相关论文
共 30 条
[1]   AN APPROXIMATE QUANTUM THEORY OF THE ANTIFERROMAGNETIC GROUND STATE [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1952, 86 (05) :694-701
[2]   Simulations of discrete quantum systems in continuous Euclidean time [J].
Beard, BB ;
Wiese, UJ .
PHYSICAL REVIEW LETTERS, 1996, 77 (25) :5130-5133
[3]  
Betts D. D., 1983, Journal of the Physical Society of Japan, V52, P11
[4]   LOW-TEMPERATURE BEHAVIOR OF TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW LETTERS, 1988, 60 (11) :1057-1060
[5]   DIRECT CALCULATION OF THE SPIN STIFFNESS IN THE J(1)-J(2) HEISENBERG-ANTIFERROMAGNET [J].
EINARSSON, T ;
SCHULZ, HJ .
PHYSICAL REVIEW B, 1995, 51 (09) :6151-6154
[6]   UNIVERSALITY, LOW-TEMPERATURE PROPERTIES, AND FINITE-SIZE SCALING IN QUANTUM ANTIFERROMAGNETS [J].
FISHER, DS .
PHYSICAL REVIEW B, 1989, 39 (16) :11783-11792
[7]   3RD-ORDER SPIN-WAVE THEORY FOR THE HEISENBERG-ANTIFERROMAGNET [J].
HAMER, CJ ;
ZHENG, WH ;
ARNDT, P .
PHYSICAL REVIEW B, 1992, 46 (10) :6276-6292
[8]   Finite-size scaling in the spin-1/2 XY model on a square lattice [J].
Hamer, CJ ;
Hövelborn, T ;
Bachhuber, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (01) :51-59
[9]   ZERO-TEMPERATURE PROPERTIES OF THE QUANTUM XY MODEL WITH ANISOTROPY [J].
HAMER, CJ ;
OITMAA, J ;
ZHENG, WH .
PHYSICAL REVIEW B, 1991, 43 (13) :10789-10796
[10]   Kosterlitz-Thouless transition of quantum XY model in two dimensions [J].
Harada, K ;
Kawashima, N .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (08) :2768-2776