Optical conductivity of one-dimensional Mott insulators
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Updated: Oct 9, 2026

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Published on: December 5, 2015
D Controzzi1, F H Essler, A M Tsvelik
1Department of Physics, University of Oxford, United Kingdom.
Abstract:
We calculate the optical conductivity of one-dimensional Mott insulators at low energies using a field theory description. The square root singularity at the optical gap, characteristic of band insulators, is generally absent and appears only at the Luther-Emery point. We also show that only few particle processes contribute significantly to the optical conductivity over a wide range of frequencies and that the bare perturbative regime is recovered only at very large energies. We discuss possible applications of our results to quasi-one-dimensional organic conductors.
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