R-matrix for the XX spin chain at the special imaginary value of staggered magnetic field
Abstract
It is pointed, that the 16×16 Hamiltonian density matrix, corresponding to XX spin chain in a staggered magnetic field, satisfies the Reshetikhin condition as well, as the two higher ones. All of them are necessary for the existence of the corresponding R-matrix. At the special imaginary value of the staggered field, the R-matrix is obtained explicitly. It is shown that the corresponding Hamiltonian has purely imaginary spectrum.
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