DETERMINANT REPRESENTATION FOR CORRELATION-FUNCTIONS OF SPIN-1/2-XXX AND SPIN-1/2-XXZ HEISENBERG MAGNETS

被引:55
作者
ESSLER, FHL
FRAHM, H
IZERGIN, AG
KOREPIN, VE
机构
[1] UNIV HANNOVER, INST THEORET PHYS, D-30167 HANNOVER, GERMANY
[2] RUSSIAN ACAD SCI, LOMI, INST SCI, DEPT MATH, ST PETERSBURG 199106, RUSSIA
[3] SUNY STONY BROOK, INST THEORET PHYS, STONY BROOK, NY 11794 USA
关键词
D O I
10.1007/BF02099470
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime -1 < Delta less than or equal to 1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in terms of determinants of Fredholm integral operators.
引用
收藏
页码:191 / 214
页数:24
相关论文
共 56 条
[1]   ZERO-FIELD SUSCEPTIBILITY OF 2-DIMENSIONAL ISING-MODEL NEAR TC [J].
BAROUCH, E ;
MCCOY, BM ;
WU, TT .
PHYSICAL REVIEW LETTERS, 1973, 31 (23) :1409-1411
[2]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[3]   ONE-DIMENSIONAL ANISOTROPIC HEISENBERG CHAIN [J].
BAXTER, RJ .
ANNALS OF PHYSICS, 1972, 70 (02) :323-+
[4]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[5]   LINEAR MAGNETIC CHAINS WITH ANISOTROPIC COUPLING [J].
BONNER, JC ;
FISHER, ME .
PHYSICAL REVIEW, 1964, 135 (3A) :A640-+
[6]  
BOUGOURZI A, HEPTH9307124 PREPR
[7]  
BOUGOURZI A, HEPTH9407062 PREPR
[8]   CORRELATORS IN THE HEISENBERG XX0 CHAIN AS FREDHOLM DETERMINANTS [J].
COLOMO, F ;
IZERGIN, AG ;
KOREPIN, VE ;
TOGNETTI, V .
PHYSICS LETTERS A, 1992, 169 (04) :243-247
[9]   TEMPERATURE CORRELATION-FUNCTIONS IN THE XXO HEISENBERG CHAIN .1. [J].
COLOMO, F ;
IZERGIN, AG ;
KOREPIN, VE ;
TOGNETTI, V .
THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 94 (01) :11-38
[10]   DIAGONALIZATION OF THE XXZ HAMILTONIAN BY VERTEX OPERATORS [J].
DAVIES, B ;
FODA, O ;
JIMBO, M ;
MIWA, T ;
NAKAYASHIKI, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 151 (01) :89-153