X-ray edge singularity in integrable lattice models of correlated electrons

Abstract

We study the singularities in X-ray absorption spectra of one-dimensional Hubbard and $t$--$J$ 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.

16 pages of revtex, 8 figures, some typos corrected, references added

Cited by in corpus (12)

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• Orthogonality catastrophe in a one-dimensional system of correlated electrons
• Local density of states of 1D Mott insulators and CDW states with a boundary
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Magnetic susceptibility and low-temperature specific-heat of integrable 1-D Hubbard model under open-boundary conditions
• A gapless charge mode induced by the boundary states in the half-filled Hubbard open-chain
• Tunneling singularities in the open Hubbard chain
• Integrable open-boundary conditions for the q-deformed extended Hubbard model
• Integrable impurities in Hubbard chain with the open boundary condition
• Integrable variant of the one-dimensional Hubbard model
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model
• Strong zero modes in integrable spin-S chains