Optical Conductivity of One-Dimensional Mott Insulators

2000/05/31 by Davide Controzzi, Fabian H. L. Essler, Fabian H. L. Eßler +2 · 7 citations
Materials Science · Physics and Astronomy · #Band gap #Condensed matter physics #Conductivity #Electrical conductor #Mott insulator #Optical conductivity #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Singularity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.86.680

published as Phys. Rev. Lett 86, 680 (2001). · 4 pages, 3 figures results added

arxiv created 2000/08/29 · openalex publication_date 2001/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model
• Expectation values of descendent fields in the sine-Gordon model

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