Critical Properties of Spectral Functions for the 1D Anisotropic t-J Models with an Energy Gap

Details Critical Properties of Spectral Functions for the 1D Anisotropic t-J Models with an Energy Gap Critical Properties of Spectral Functions for the 1D Anisotropic t-J Models with an Energy Gap

1997-10-22

arxiv.org/abs/cond-mat/9710237v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, REVTeX, 2 figures(available upon request), accepted for publication in JPSJ 66 (1997) No.9

Scientific paper

10.1143/JPSJ.66.2552

We exactly calculate the momentum-dependent critical exponents for spectral functions in the one-dimensional anisotropic t-J models with a gap either in the spin or charge excitation spectrum. Our approach is based on the Bethe ansatz technique combined with finite-size scaling techniques in conformal field theory. It is found that the spectral functions show a power-law singularity, which occurs at frequencies determined by the dispersion of a massive spin (or charge) excitation.We discuss how the nontrivial contribution of a massive excitation controls the singular behavior in optical response functions.

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