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

TL;DR

This paper investigates the edge singularities in X-ray absorption spectra of 1D Hubbard and t-J models using advanced theoretical methods, revealing detailed power-law behaviors influenced by boundary conditions and core-hole potentials.

Contribution

It applies Boundary Conformal Field Theory and Bethe Ansatz to analyze edge singularities in correlated electron models with bound states, providing new insights into spectral exponents.

Findings

Derived exponents for edge singularities in Hubbard and t-J models.

Showed the influence of boundary conditions on spectral behavior.

Identified effects of core-hole bound states on absorption spectra.

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.