CORRELATION LENGTH AND FREE-ENERGY OF THE S=1/2 XYZ CHAIN

被引:66
作者
TAKAHASHI, M
机构
[1] Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku
关键词
D O I
10.1103/PhysRevB.43.5788
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A set of equations that allows one to calculate the correlation length and the free energy of the S = 1/2 XYZ chain at a given temperature is obtained. It contains infinite unknown numbers and is derived by the largest and the second-largest eigenvalues of the quantum transfer matrix in the limit of infinite Trotter number. The numerical solution of this set of equations gives very accurate values of the free energy and the correlation length at arbitrary temperature. The energy gaps that appear in the correlation length and the free energy at low temperature are discussed.
引用
收藏
页码:5788 / 5797
页数:10
相关论文
共 29 条
[2]   CLASSICAL EQUIVALENTS OF ONE-DIMENSIONAL QUANTUM-MECHANICAL SYSTEMS [J].
BARMA, M ;
SHASTRY, BS .
PHYSICAL REVIEW B, 1978, 18 (07) :3351-3359
[3]   STATISTICAL MECHANICS OF XY-MODEL .2. SPIN-CORRELATION FUNCTIONS [J].
BAROUCH, E ;
MCCOY, BM .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 3 (02) :786-+
[4]   ONE-DIMENSIONAL ANISOTROPIC HEISENBERG CHAIN [J].
BAXTER, RJ .
ANNALS OF PHYSICS, 1972, 70 (02) :323-+
[5]   PARTITION-FUNCTION OF 8-VERTEX LATTICE MODEL [J].
BAXTER, RJ .
ANNALS OF PHYSICS, 1972, 70 (01) :193-&
[6]   STUDY OF ONE-DIMENSIONAL XY MODEL BY THE TRANSFER-MATRIX METHOD [J].
BETSUYAKU, H .
PHYSICAL REVIEW LETTERS, 1984, 53 (07) :629-632
[7]   STUDY OF ONE-DIMENSIONAL QUANTUM SPIN SYSTEMS BY THE TRANSFER-MATRIX METHOD [J].
BETSUYAKU, H .
PROGRESS OF THEORETICAL PHYSICS, 1985, 73 (02) :319-331
[8]   QUANTUM SINE-GORDON THERMODYNAMICS - THE BETHE ANSATZ METHOD [J].
FOWLER, M ;
ZOTOS, X .
PHYSICAL REVIEW B, 1981, 24 (05) :2634-2639
[9]   THERMODYNAMICS OF HEISENBERG-ISING RING FOR DELTA-NOT-GREATER-THAN-1 [J].
GAUDIN, M .
PHYSICAL REVIEW LETTERS, 1971, 26 (21) :1301-+