1/S EXPANSION FOR THERMODYNAMIC QUANTITIES IN A 2-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET AT ZERO TEMPERATURE

被引:166
作者
IGARASHI, J
机构
[1] Department of Physics, Faculty of Science, Osaka University, Toyonaka
来源
PHYSICAL REVIEW B | 1992年 / 46卷 / 17期
关键词
D O I
10.1103/PhysRevB.46.10763
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We calculate the spin-wave dispersion, the perpendicular susceptibility, the spin-stiffness constant, and the sublattice magnetization of a two-dimensional Heisenberg antiferromagnet at T=0, to order 1/(2S)2, treating carefully the umklapp processes. Our numerical estimates for the thermodynamic quantities are in good agreement with series-expansion estimates, and satisfy the hydrodynamic relation very accurately.
引用
收藏
页码:10763 / 10771
页数:9
相关论文
共 29 条
[1]   AN APPROXIMATE QUANTUM THEORY OF THE ANTIFERROMAGNETIC GROUND STATE [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1952, 86 (05) :694-701
[2]   FUNCTIONAL INTEGRAL THEORIES OF LOW-DIMENSIONAL QUANTUM HEISENBERG MODELS [J].
AROVAS, DP ;
AUERBACH, A .
PHYSICAL REVIEW B, 1988, 38 (01) :316-332
[3]   SPIN DYNAMICS IN THE SQUARE-LATTICE ANTIFERROMAGNET [J].
AUERBACH, A ;
AROVAS, DP .
PHYSICAL REVIEW LETTERS, 1988, 61 (05) :617-620
[4]   APPLICATION OF A NEW PROJECTION TECHNIQUE TO THE 2D HEISENBERG HAMILTONIAN [J].
BECKER, KW ;
WON, HK ;
FULDE, P .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1989, 75 (03) :335-345
[5]   SPIN-WAVE VELOCITY RENORMALIZATION IN THE 2-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET AT ZERO TEMPERATURE [J].
CANALI, CM ;
GIRVIN, SM ;
WALLIN, M .
PHYSICAL REVIEW B, 1992, 45 (17) :10131-10134
[6]   SPIN-WAVE EXPANSION OF THE STAGGERED MAGNETIZATION OF A SQUARE-LATTICE HEISENBERG-ANTIFERROMAGNET AT T = 0 [J].
CASTILLA, GE ;
CHAKRAVARTY, S .
PHYSICAL REVIEW B, 1991, 43 (16) :13687-13690
[7]   LOW-TEMPERATURE BEHAVIOR OF TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW LETTERS, 1988, 60 (11) :1057-1060
[8]   TWO-DIMENSIONAL QUANTUM HEISENBERG-ANTIFERROMAGNET AT LOW-TEMPERATURES [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW B, 1989, 39 (04) :2344-2371
[9]   MONTE-CARLO STUDY OF THE QUANTUM SPIN-1/2 HEISENBERG-ANTIFERROMAGNET ON THE SQUARE LATTICE [J].
GOMEZSANTOS, G ;
JOANNOPOULOS, JD ;
NEGELE, JW .
PHYSICAL REVIEW B, 1989, 39 (07) :4435-4443
[10]   SPIN-WAVE VELOCITY AND SUSCEPTIBILITY FOR THE TWO-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET [J].
GROSS, M ;
SANCHEZVELASCO, E ;
SIGGIA, ED .
PHYSICAL REVIEW B, 1989, 40 (16) :11328-11330