Generalized Heisenberg Model

2002/03/08 by S. Yu. Gubanov
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 130 (2002) 383-390; Teor.Mat.Fiz. 130 (2002) 451-459 · LaTeX, 8 pages. Theoretical and Mathematical Physics, 130(3): 383-390 (2002) Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 130, No. 3, pp. 451-459, March, 2002. Original article submitted July 19, 2001; revised September 2, 2001

arxiv created 2002/03/08 · arxiv updated 2009/11/30

Abstract

We consider the XXZ model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional fusion relations of the transfer matrices are obtained. The truncation results in a closed system of equations whose solution allows obtaining the energy spectrum.

Related

• Reduction of XXZ model with generalized periodic boundary conditions
• Functional Integration with "Automorphic" Boundary Conditions and Correlators of Z-Components of Spins in the XY and XX Heisenberg Chains
• A Unified Treatment for XXX-Heisenberg Model and Haldane-Shastry Model Using Shift Operators
• Heisenberg XX chain, non-homogeneously parameterised generating exponential, and diagonally restricted plane partitions
• The Thermodynamics of the XXZ Heisenberg Chain with Impurities