Conductivity in a disordered one-dimensional system of interacting fermions

Abstract

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c. transport coefficients. On the contrary, we find in the regime of moderately strong local disorder that the d.c. conductivity sigma0 scales linearly with the interaction strength while being exponentially dependent on the disorder. According to the behavior of the charge stiffness evaluated at the fixed number of particles, the absence of the many-body localization seems related to an increase of the effective localization length with the interaction.

4 pages, 5 figures, submitted to PRB

References in corpus (5)

• Localization of interacting fermions at high temperature
• Many body localization in Heisenberg XXZ magnet in a random field
• Possible experimental manifestations of the many-body localization
• Variable range hopping and quantum creep in one dimension
• Finite temperature transport in disordered Heisenberg chains

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