Ground state of a triangular quantum antiferromagnet: Fixed-node Green-function Monte Carlo study

被引:21
作者
Boninsegni, M
机构
[1] National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Urbana
来源
PHYSICAL REVIEW B | 1995年 / 52卷 / 21期
关键词
D O I
10.1103/PhysRevB.52.15304
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A recently proposed ''fixed-node'' quantum Monte Carlo scheme for lattice Hamiltonians is adopted to study antiferromagnetic order of the Neel type in the ground state of the two-dimensional spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice. Fixed-node Green-function Monte Carlo simulations, based on an antiferromagnetically correlated trial wave function, are performed on lattices of up to 324 sites. Extrapolation of the results to the thermodynamic limit indicates that an ordered ground state may exist with a sublattice magnetization of as much as similar to 60% of the classical value; an upper bound of - 0.5431 +/- 0.0001 J is found for the ground-state energy per site.
引用
收藏
页码:15304 / 15311
页数:8
相关论文
共 39 条
[21]   SPIN-WAVE RESULTS FOR THE STAGGERED MAGNETIZATION OF TRIANGULAR HEISENBERG-ANTIFERROMAGNET [J].
MIYAKE, SJ .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1992, 61 (03) :983-988
[22]   THE GROUND-STATE ENERGY OF THE HEISENBERG-ANTIFERROMAGNET WITH ANISOTROPIC EXCHANGE INTERACTION [J].
MIYAKE, SJ .
PROGRESS OF THEORETICAL PHYSICS, 1985, 74 (03) :468-478
[24]   CORRECTION [J].
NISHIMORI, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (07) :2607-2607
[25]   GROUND-STATE OF QUANTUM SPIN SYSTEMS ON THE TRIANGULAR LATTICE [J].
NISHIMORI, H ;
NAKANISHI, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (02) :626-638
[26]   MORE ABOUT THE GROUND-STATE OF QUANTUM SPIN SYSTEMS ON THE TRIANGULAR LATTICE [J].
NISHIMORI, H ;
NAKANISHI, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (09) :3433-3434
[27]   NEW STOCHASTIC METHOD FOR SYSTEMS WITH BROKEN TIME-REVERSAL SYMMETRY - 2D FERMIONS IN A MAGNETIC-FIELD [J].
ORTIZ, G ;
CEPERLEY, DM ;
MARTIN, RM .
PHYSICAL REVIEW LETTERS, 1993, 71 (17) :2777-2780
[28]   FERMION MONTE-CARLO ALGORITHMS AND LIQUID-HE-3 [J].
PANOFF, RM ;
CARLSON, J .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1130-1133
[29]   FIXED-NODE QUANTUM MONTE-CARLO FOR MOLECULES [J].
REYNOLDS, PJ ;
CEPERLEY, DM ;
ALDER, BJ ;
LESTER, WA .
JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (11) :5593-5603
[30]   FINITE-SIZE STUDY OF THE GROUND-STATE ENERGY, SUSCEPTIBILITY, AND SPIN-WAVE VELOCITY FOR THE HEISENBERG-ANTIFERROMAGNET [J].
RUNGE, KJ .
PHYSICAL REVIEW B, 1992, 45 (21) :12292-12296