Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz

Abstract

The small polaron, an one-dimensional lattice model of interacting spinless fermions, with generic non-diagonal boundary terms is studied by the off-diagonal Bethe ansatz method. The presence of the Grassmann valued non-diagonal boundary fields gives rise to a typical $U(1)$-symmetry-broken fermionic model. The exact spectra of the Hamiltonian and the associated Bethe ansatz equations are derived by constructing an inhomogeneous $T-Q$ relation.

12 pages, no figure, published version

References in corpus (5)

• Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Exact solution of the one-dimensional super-symmetric t-J model with unparallel boundary fields
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