Exact Solution of the $Z(n+1) \times Z(n+1)$ Symmetric Generalization of the Xxz Model

Babelon, O.; de Vega, H.J.; Viallet, C.M.

doi:10.1016/0550-3213(82)90087-6

Exact Solution of the $Z(n+1) \times Z(n+1)$ Symmetric Generalization of the Xxz Model

Jul, 1981

15 pages

Published in:

Nucl.Phys.B 200 (1982) 266-280

Published: 1982

DOI:

10.1016/0550-3213(82)90087-6

Report number:

PAR LPTHE 81/09

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We give a generalization of the XXZ model where the spin takes n + 1 values, and the hamiltonian is not parity invariant. The diagonalization problem is solved exactly by the use of the n nested Bethe ansatz. We compute the ground-state energy in both the ferromagnetic and the antiferromagnetic case.

MODEL: FERROMAGNET
SYMMETRY: Z(N) X Z(N)
INVERSE SCATTERING METHOD
ALGEBRA

References(7)

Figures(0)

ON A METHOD OF CONSTRUCTING FACTORIZED S MATRICES IN ELEMENTARY FUNCTIONS

I.V. Cherednik
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Exact Solution of the Z(n+1)×Z(n+1)Z(n+1) \times Z(n+1)Z(n+1)×Z(n+1) Symmetric Generalization of the Xxz Model

Citations per year

ON A METHOD OF CONSTRUCTING FACTORIZED S MATRICES IN ELEMENTARY FUNCTIONS

EXAMPLE OF RELATIVISTIC TWO-BODY PROBLEM. II. EQUATIONS OF MOTION

Dynamical Symmetry of Integrable Quantum Systems

GENERALIZED HEISENBERG FERROMAGNET AND THE GROSS-NEVEU MODEL

The Quantum method of the inverse problem and the Heisenberg XYZ model

A General Model for Multicomponent Quantum Systems

One-dimensional chain of anisotropic spin spin interactions. 1. Proof of Bethe's hypothesis for ground state in a finite system

Exact Solution of the $Z(n+1) \times Z(n+1)$ Symmetric Generalization of the Xxz Model