Fermionic R-operator approach for the small-polaron model with open boundary condition

Details Fermionic R-operator approach for the small-polaron model with open boundary condition Fermionic R-operator approach for the small-polaron model with open boundary condition

1999-07-30

arxiv.org/abs/cond-mat/9907474v1

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

10.1143/JPSJ.68.3826

Exact integrability and algebraic Bethe ansatz of the small-polaron model with the open boundary condition are discussed in the framework of the quantum inverse scattering method (QISM). We employ a new approach where the fermionic R-operator which consists of fermion operators is a key object. It satisfies the Yang-Baxter equation and the reflection equation with its corresponding K-operator. Two kinds of 'super-transposition' for the fermion operators are defined and the dual reflection equation is obtained. These equations prove the integrability and the Bethe ansatz equation which agrees with the one obtained from the graded Yang-Baxter equation and the graded reflection equations.

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