Square-lattice Heisenberg antiferromagnet at very large correlation lengths

被引:120
作者
Beard, BB [1 ]
Birgeneau, RJ
Greven, M
Wiese, UJ
机构
[1] Christian Brothers Univ, Dept Phys, Memphis, TN 38104 USA
[2] Christian Brothers Univ, Dept Mech Engn, Memphis, TN 38104 USA
[3] MIT, Dept Phys, Cambridge, MA 02139 USA
关键词
D O I
10.1103/PhysRevLett.80.1742
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The correlation length of the square-lattice spin-1/2 Heisenberg antiferromagnet is studied in the low-temperature (asymptotic-scaling) regime. Our novel approach combines a very efficient loop cluster algorithm-operating directly in the Euclidean time continuum-with finite-size scaling. This enables us to probe correlation lengths up to xi approximate to 350000 lattice spacings, more than 3 orders of magnitude larger than in any previous study. We resolve a conundrum concerning the applicability of asymptotic scaling formulas to experimentally and numerically determined correlation lengths. Our results have direct implications for the zero-temperature behavior of spin-1/2 ladders.
引用
收藏
页码:1742 / 1745
页数:4
相关论文
共 25 条
  • [1] Simulations of discrete quantum systems in continuous Euclidean time
    Beard, BB
    Wiese, UJ
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (25) : 5130 - 5133
  • [2] ASYMPTOTIC SCALING IN THE 2-DIMENSIONAL O(3) SIGMA MODEL AT CORRELATION LENGTH 10(5)
    CARACCIOLO, S
    EDWARDS, RG
    PELISSETTO, A
    SOKAL, AD
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (10) : 1891 - 1894
  • [3] Dimensional crossover in quantum antiferromagnets
    Chakravarty, S
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (21) : 4446 - 4449
  • [4] TWO-DIMENSIONAL QUANTUM HEISENBERG-ANTIFERROMAGNET AT LOW-TEMPERATURES
    CHAKRAVARTY, S
    HALPERIN, BI
    NELSON, DR
    [J]. PHYSICAL REVIEW B, 1989, 39 (04) : 2344 - 2371
  • [5] SPIN DEPENDENCE OF CORRELATIONS IN 2-DIMENSIONAL SQUARE-LATTICE QUANTUM HEISENBERG ANTIFERROMAGNETS
    ELSTNER, N
    SOKOL, A
    SINGH, RRP
    GREVEN, M
    BIRGENEAU, RJ
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (05) : 938 - 941
  • [6] CLUSTER ALGORITHM FOR VERTEX MODELS
    EVERTZ, HG
    LANA, G
    MARCU, M
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (07) : 875 - 879
  • [7] NEUTRON-SCATTERING STUDY OF THE 2-DIMENSIONAL SPIN S=1/2 SQUARE-LATTICE HEISENBERG-ANTIFERROMAGNET SR2CUO2CL2
    GREVEN, M
    BIRGENEAU, RJ
    ENDOH, Y
    KASTNER, MA
    MATSUDA, M
    SHIRANE, G
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1995, 96 (04): : 465 - 477
  • [8] SPIN CORRELATIONS IN THE 2D HEISENBERG-ANTIFERROMAGNET SR2CUO2CL2 - NEUTRON-SCATTERING, MONTE-CARLO SIMULATION, AND THEORY
    GREVEN, M
    BIRGENEAU, RJ
    ENDOH, Y
    KASTNER, MA
    KEIMER, B
    MATSUDA, M
    SHIRANE, G
    THURSTON, TR
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (07) : 1096 - 1099
  • [9] Monte Carlo study of correlations in quantum spin ladders
    Greven, M
    Birgeneau, RJ
    Wiese, UJ
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (09) : 1865 - 1868
  • [10] SPIN-WAVE STIFFNESS OF THE HEISENBERG-ANTIFERROMAGNET AT ZERO-TEMPERATURE
    HAMER, CJ
    ZHENG, WH
    OITMAA, J
    [J]. PHYSICAL REVIEW B, 1994, 50 (10): : 6877 - 6888