Universality class of an S=1/2 quantum spin ladder system with four-spin exchange -: art. no. 104413

被引:29
作者
Hijii, K [1 ]
Nomura, K [1 ]
机构
[1] Kyushu Univ, Dept Phys, Fukuoka 8128581, Japan
来源
PHYSICAL REVIEW B | 2002年 / 65卷 / 10期
关键词
D O I
10.1103/PhysRevB.65.104413
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study a s=1/2 Heisenberg spin ladder with four-spin exchange. Combining numerical results with conformal field theory, we find a phase transition with central charge c=3/2. Since this system has an SU(2) symmetry, we can conclude that this critical theory is described by k=2 SU(2) Wess-Zumino-Witten model with Z(2) symmetry breaking.
引用
收藏
页码:1 / 6
页数:6
相关论文
共 43 条
[1]   RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].
AFFLECK, I ;
KENNEDY, T ;
LIEB, EH ;
TASAKI, H .
PHYSICAL REVIEW LETTERS, 1987, 59 (07) :799-802
[2]   VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].
AFFLECK, I ;
KENNEDY, T ;
LIEB, EH ;
TASAKI, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528
[3]   CRITICAL-THEORY OF QUANTUM SPIN CHAINS [J].
AFFLECK, I ;
HALDANE, FDM .
PHYSICAL REVIEW B, 1987, 36 (10) :5291-5300
[4]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[5]   CRITICAL-BEHAVIOR OF SPIN-S HEISENBERG ANTIFERROMAGNETIC CHAINS - ANALYTIC AND NUMERICAL RESULTS [J].
AFFLECK, I ;
GEPNER, D ;
SCHULZ, HJ ;
ZIMAN, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (05) :511-529
[6]   EXACT SOLUTION OF THE ONE-DIMENSIONAL ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS S [J].
BABUJIAN, HM .
PHYSICS LETTERS A, 1982, 90 (09) :479-482
[7]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[8]   Effects of biquadratic exchange on the spectrum of elementary excitations in spin ladders [J].
Brehmer, S ;
Mikeska, HJ ;
Müller, M ;
Nagaosa, N ;
Uchida, S .
PHYSICAL REVIEW B, 1999, 60 (01) :329-334
[9]  
CARDY JL, 1986, J PHYS A-MATH GEN, V19, P1093
[10]   CONFORMAL-INVARIANCE AND UNIVERSALITY IN FINITE-SIZE SCALING [J].
CARDY, JL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (07) :L385-L387