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Journal of Physics Condensed Matter

Boundary states and edge singularities in the degenerate Hubbard chain

Holger Frahm, Sascha Ledowski

Published Oct 5, 1998• 2 citations
Publisher

Abstract

Using the Bethe ansatz we study the spectrum of boundary bound states of the SU ( N ) generalization of the one-dimensional Hubbard model with open boundaries and applied boundary potentials. The number of electrons bound by the boundary field is found from the surface contribution to the energy. Finite size corrections to the low-lying energies in this system and use of the predictions of boundary conformal field theory allows us to study the exponents related to the orthogonality catastrophe and absorption edges.

DOI
10.1088/0953-8984/10/39/018

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We study the singularities in x-ray absorption spectra of one-dimensional Hubbard and ttt-JJJ models. We use boundary conformal field theory and the Bethe ansatz solutions of these models with both periodic and open boundary conditions to calculate the exponents describing the power-law decay near the edges of x-ray absorption spectra in the case where the core-hole potential has bound states.