Hubbard chain with reflecting ends

Abstract

The one-dimensional Hubbard model bounded by infinitely high potential walls is exactly diagonalised by Bethe-Yang ansatz techniques. The 'surface' energy is studied for the half-filled band and in the Fermi gas limit. The analysis starts with a solution of a more general model in which the particles also interact with their mirror-image sites. In the linear band limit the states of this system become the Bethe eigenstates of the Kondo model at zero coupling.