Bethe ansatz for the one-dimensional small-polaron model with open boundary conditions

Xiao Man Wang, Heng Fan, Xi Wen Guan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The one-dimensional small-polaron model with open boundary conditions is considered in the framework of the quantum inverse scattering method. The spin model which is equivalent to the small-polaron model is the Heisenberg XXZ spin chain in an external magnetic field. For spin model, the solutions of the reflection equation (RE) and the dual RE are obtained. The eigenvalues and eigenvectors problems are solved by using the algebraic Bethe ansatz method. The case of the fermion model is also studied, the commuting of the transfer matrix can be proved, and the eigenvalues and the Bethe ansatz equations for fermion model are obtained.

Original languageEnglish
Pages (from-to)251-258
Number of pages8
JournalJournal of the Physical Society of Japan
Volume69
Issue number1
DOIs
Publication statusPublished - Jan 2000
Externally publishedYes

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