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R-matrix for the XX spin chain at the special imaginary value of staggered magnetic field

2024/07/15 by P. N. Bibikov, Bibikov, P. N.
Computer Science · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Matrix Theory and Algorithms #Nonlinear Waves and Solitons #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2407.10395

openalex publication_date 2024/07/15 · openalex created_date 2024/07/17 · openalex updated_date 2026/07/28

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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