FINITE-TEMPERATURE PROPERTIES OF QUANTUM ANTIFERROMAGNETS IN A UNIFORM MAGNETIC-FIELD IN ONE AND 2 DIMENSIONS

被引:173
作者
SACHDEV, S
SENTHIL, T
SHANKAR, R
机构
[1] Department of Physics, Yale University, New Haven, CT 06520-8120
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 01期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.50.258
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Consider a d-dimensional antiferromagnet with a quantum disordered ground state and a gap to bosonic excitations with nonzero spin. In a finite external magnetic field, this antiferromagnet will undergo a phase transition to a ground state with nonzero magnetization, describable as the condensation of a dilute gas of bosons. The finite-temperature properties of the Bose gas in the vicinity of this transition are argued to obey a hypothesis of zero scale-factor universality for d < 2, with logarithmic violations in d = 2. Scaling properties of various experimental observables are computed in an expansion in epsilon = 2 - d, and exactly in d = 1.
引用
收藏
页码:258 / 272
页数:15
相关论文
共 58 条
[1]   THEORY OF HALDANE-GAP ANTIFERROMAGNETS IN APPLIED FIELDS [J].
AFFLECK, I .
PHYSICAL REVIEW B, 1990, 41 (10) :6697-6702
[2]   BOSE CONDENSATION IN QUASI-ONE-DIMENSIONAL ANTIFERROMAGNETS IN STRONG FIELDS [J].
AFFLECK, I .
PHYSICAL REVIEW B, 1991, 43 (04) :3215-3222
[3]  
[Anonymous], 2013, 2 DIMENSIONAL ISING
[4]  
[Anonymous], 1990, PHYS REV B
[5]  
[Anonymous], 1983, FUNCTIONAL INTEGRALS
[6]   UNIVERSAL RELATIONS AMONG CRITICAL AMPLITUDE - CALCULATIONS UP TO ORDER EPSILON2 FOR SYSTEMS WITH CONTINUOUS SYMMETRY [J].
BERVILLIER, C .
PHYSICAL REVIEW B, 1976, 14 (11) :4964-4975
[7]   EXPERIMENTAL-EVIDENCE FOR THE HALDANE GAP IN A SPIN-1, NEARLY ISOTROPIC, ANTIFERROMAGNETIC CHAIN [J].
BUYERS, WJL ;
MORRA, RM ;
ARMSTRONG, RL ;
HOGAN, MJ ;
GERLACH, P ;
HIRAKAWA, K .
PHYSICAL REVIEW LETTERS, 1986, 56 (04) :371-374
[8]   CONFORMAL-INVARIANCE AND UNIVERSALITY IN FINITE-SIZE SCALING [J].
CARDY, JL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (07) :L385-L387
[9]   UNIVERSAL CONDUCTIVITY OF 2-DIMENSIONAL FILMS AT THE SUPERCONDUCTOR-INSULATOR TRANSITION [J].
CHA, MC ;
FISHER, MPA ;
GIRVIN, SM ;
WALLIN, M ;
YOUNG, AP .
PHYSICAL REVIEW B, 1991, 44 (13) :6883-6902
[10]   TWO-DIMENSIONAL QUANTUM HEISENBERG-ANTIFERROMAGNET AT LOW-TEMPERATURES [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW B, 1989, 39 (04) :2344-2371