THE HEISENBERG XXZ HAMILTONIAN WITH DZYALOSHINSKY-MORIYA INTERACTIONS

被引：74

作者：

ALCARAZ, FC ^{[1
]}

WRESZINSKI, WF ^{[1
]}

机构：

[1] UNIV SAO PAULO, INST FIS, BR-01498 SAO PAULO, BRAZIL

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 58卷 / 1-2期

关键词：

Bethe ansatz; boundary conditions; conformal invariance; Dzyaloshinsky-Moriya interactions; Quantum Heisenberg chain;

D O I：

10.1007/BF01020284

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The quantum Heisenberg chain with Dzyaloshinsky-Moriya interactions is solved by relating it to the XXZ Hamiltonian with a certain type of boundary conditions. Several properties of the ground state are derived which agree with the intuition derived from related soluble classical models. Implications to the model of known results from the theory of conformal invariance, as well as generalizations to higher spin, are briefly discussed. © 1990 Plenum Publishing Corporation.

引用

页码：45 / 56

页数：12

共 30 条

[1] A PROOF OF PART OF HALDANE CONJECTURE ON SPIN CHAINS
AFFLECK, I
LIEB, EH
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1986, 12 (01) : 57 - 69
[2] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY
AFFLECK, I
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 746 - 748
[3] THE MODIFIED XXZ HEISENBERG CHAIN, CONFORMAL-INVARIANCE AND THE SURFACE EXPONENTS OF C-LESS-THAN-1 SYSTEMS
ALCARAZ, FC
BAAKE, M
GRIMM, U
RITTENBERG, V
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (01): : L5 - L11
[4] SURFACE EXPONENTS OF THE QUANTUM XXZ, ASHKIN-TELLER AND POTTS MODELS
ALCARAZ, FC
BARBER, MN
BATCHELOR, MT
BAXTER, RJ
QUISPEL, GRW
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18): : 6397 - 6409
[5] CRITICAL SPIN MODELS WITH CONTINUOUSLY VARYING EXPONENTS
ALCARAZ, FC
MARTINS, MJ
[J]. PHYSICAL REVIEW LETTERS, 1988, 61 (14) : 1529 - 1532
[6] CONFORMAL-INVARIANCE, THE XXZ CHAIN AND THE OPERATOR CONTENT OF TWO-DIMENSIONAL CRITICAL SYSTEMS
ALCARAZ, FC
BARBER, MN
BATCHELOR, MT
[J]. ANNALS OF PHYSICS, 1988, 182 (02) : 280 - 343
[7] CONFORMAL-INVARIANCE AND THE SPECTRUM OF THE XXZ CHAIN
ALCARAZ, FC
BARBER, MN
BATCHELOR, MT
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (08) : 771 - 774
[8] ALCARAZ FC, IN PRESS NUCL PHYS
[9] ALCARAZ FC, IN PRESS J PHYS A
[10] [Anonymous], 1987, PHASE TRANSITIONS CR

← 1 2 3 →