X-ray edge singularity in integrable lattice models of correlated electrons
Author(s) -
Fabian H. L. Eßler,
Holger Frahm
Publication year - 1997
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.56.6631
Subject(s) - bethe ansatz , singularity , integrable system , physics , boundary conformal field theory , gravitational singularity , lattice (music) , electron , conformal field theory , boundary value problem , spectral line , ansatz , hubbard model , conformal map , condensed matter physics , quantum mechanics , mathematical physics , mathematics , mathematical analysis , free boundary problem , superconductivity , robin boundary condition , acoustics
We study the singularities in X-ray absorption spectra of one-dimensionalHubbard and $t$--$J$ models. We use Boundary Conformal Field Theory and theBethe Ansatz solutions of these models with both periodic and open boundaryconditions to calculate the exponents describing the power-law decay near theedges of X-ray absorption spectra in the case where the core-hole potential hasbound states.Comment: 16 pages of revtex, 8 figures, some typos corrected, references adde
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