Integrable impurities for an open fermion chain

Details Integrable impurities for an open fermion chain Integrable impurities for an open fermion chain

2000-01-19

arxiv.org/abs/nlin/0001040v2

J. Phys. A: Math. Gen. 33 (2000) 3863-3879

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, 4 figures

Scientific paper

10.1088/0305-4470/33/21/302

Employing the graded versions of the Yang-Baxter equation and the reflection equations, we construct two kinds of integrable impurities for a small-polaron model with general open boundary conditions: (a) we shift the spectral parameter of the local Lax operator at arbitrary sites in the bulk, and (b) we embed the impurity fermion vertex at each boundary of the chain. The Hamiltonians with different types of impurity terms are given explicitly. The Bethe ansatz equations, as well as the eigenvalues of the Hamiltonians, are constructed by means of the quantum inverse scattering method. In addition, we discuss the ground-state properties in the thermodynamic limit.

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