A gapless charge mode induced by the boundary states in the half-filled Hubbard open-chain

Details A gapless charge mode induced by the boundary states in the half-filled Hubbard open-chain A gapless charge mode induced by the boundary states in the half-filled Hubbard open-chain

1998-03-02

arxiv.org/abs/cond-mat/9803008v2

Physics

Condensed Matter

Statistical Mechanics

Revtex, 25 pages, 3 eps figures; Full revision with Appendixes added

Scientific paper

10.1088/0305-4470/31/36/006

We discuss the ground state and some excited states of the half-filled Hubbard model defined on an open chain with L sites, where only one of the boundary sites has a different value of chemical potential. We consider the case when the boundary site has a negative chemical potential -p and the Hubbard coupling U is positive. By an analytic method we show that when p is larger than the transfer integral some of the ground-state solutions of the Bethe ansatz equations become complex-valued. It follows that there is a ``surface phase transition'' at some critical value p_c; when pp_c.

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