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

Haye Hinrichsen
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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.

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Haye Hinrichsen. 1993-10-25. A Generalized Duality Transformation of the Anisotropic Xy Chain in a Magnetic Field. https://doi.org/10.1088/0305-4470%2F27%2F4%2F008

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