A Generalized Duality Transformation of the Anisotropic Xy Chain in a Magnetic Field

Abstract

We consider the anisotropic $XY$ chain in a magnetic field with special boundary conditions described by a two-parameter Hamiltonian. It is shown that the exchange of the parameters corresponds to a similarity transformation, which reduces in a special limit to the Ising duality transformation.

6 pages, LaTeX, BONN-HE-93-40

References in corpus (2)

• A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
• Quantum Groups, Correlation Functions and Infrared Divergences

Cited by in corpus (4)

• The Bond-Algebraic Approach to Dualities
• Four State Models and Clifford Algebras
• Effective mapping of spin-1 chains onto integrable fermionic models. A study of string and Neel correlation functions
• Stochastic Model and Equivalent Ferromagnetic Spin Chain with Alternation