Critical Properties in Photoemmision Spectra for One Dimensional Orbitally Degenerate Mott Insulator

TL;DR

This paper investigates the critical properties of photoemission spectra in a one-dimensional orbitally degenerate Mott insulator using an integrable t-J model and conformal field theory, revealing how orbital-splitting influences spectral exponents.

Contribution

It introduces a novel analysis of spectral critical properties in orbitally degenerate Mott insulators using integrable models and conformal field theory techniques.

Findings

Critical exponents depend on orbital-splitting.

Holon and spinon dispersions exhibit distinct critical behaviors.

Finite-size energy spectra reveal spectral properties.

Abstract

Critical properties in photoemission spectra for the one-dimensional Mott insulator with orbital degeneracy are studied by exploiting the integrable {\it t-J} model, which is a supersymmetric generalization of the SU($n$) degenerate spin model. We discuss the critical properties for the holon dispersion as well as the spinon dispersions, by applying the conformal field theory analysis to the exact finite-size energy spectrum. We study the effect of orbital-splitting on the spectra by evaluating the momentum-dependent critical exponents.