International Journal of Modern Physics B

QUANTUM SPIN CHAINS: CONFORMAL INVARIANCE AND INTEGRABILITY

Michael N. Barber, Murray T. Batchelor

Published Apr 1, 1990• 4 citations

Abstract

Recent exact results concerning the behaviour of antiferromagnetic spin chains are reviewed with emphasis on conformal invariance and integrability.

DOI: 10.1142/s0217979290000462

Related papers

ADDENDUM: INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY

Luca Mezincescu, Rafael I. Nepomechie

In the above reference, we prove that certain quantum spin chains with quantumalgebra symmetry are integrable. Specifically, these are the quantum-algebra-invariant open chains associated with the affine Lie algebras A (1) 1, A(2) 2n, A(2) 2n−1, B(1) n, C (1) n, and D (1)

International Journal of Modern Physics ASep 10, 199270 citations

NEW AND OLD SYMMETRIES OF INTEGRABLE SPIN CHAINS

Rafael I. Nepomechie

This article summarizes the results of two recent investigations with A. Doikou on symmetries of integrable quantum spin chains which have been motivated in part by the computation of exact boundary and bulk scattering matrices.

International Journal of Modern Physics BDec 30, 19990 citations

Integrability of Quantum Chains: Theory and Applications to the Spin‐1/2 X X Z Chain

Andreas Klümper

Abstract For Abstract see ChemInform Abstract in Full Text.

ChemInformMay 11, 20057 citations

THE MODIFIED XXZ HEISENBERG CHAIN: CONFORMAL INVARIANCE, SURFACE EXPONENTS OF c<1 SYSTEMS AND HIDDEN SYMMETRIES OF FINITE CHAINS

Uwe Grimm, V. Rittenberg

The spin-1/2 XXZ Heisenberg chain with two types of boundary terms is considered. For the first type, the Hamiltonian is hermitian but not for the second type which includes the Uq[SU(2)] symmetric case. It is shown that for a certain “tuning” between the anisotropy angle and the boundary terms the spectra present unexpected degeneracies. These degeneracies are related to the structure of the irreducible representations of the Virasoro algebras for c<1.

arXiv:hep-th/0311085International Journal of Modern Physics BApr 1, 199014 citations

Integrable Quantum Spin Chains and Some Problems Related to Integrable Systems

A. Kundu, B. Basu-Mallick

Research reports in physicsJan 1, 19900 citations

Conformal Invariance and the Phase Transition of a Spin Chain with Three-Spin Interaction

M. Kolb, K. A. Penson

Current physics sources and commentsJan 1, 19880 citations