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

Abstract

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.

10 pages

References in corpus (3)

• Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
• Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model
• Fermionic R-Operator for the Fermion Chain Model

Cited by in corpus (4)

• Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its application to quantum transfer matrix
• Truncation identities for the small polaron fusion hierarchy
• Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
• Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz