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Coherent "metallic" resistance and medium localisation in a disordered 1D insulator

Martin Mosko·Pavel Vagner·Michal Bajdich·Thomas Schaepers
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Abstract

It is believed, that a disordered one-dimensional (1D) wire with coherent electronic conduction is an insulator with the mean resistance <ρ> \simeq e^{2L/ξ} and resistance dispersion Δ_ρ \simeq e^{L/ξ}, where L is the wire length and ξis the electron localisation length. Here we show that this 1D insulator undergoes at full coherence the crossover to a 1D "metal", caused by thermal smearing and resonant tunnelling. As a result, Δ_ρ is smaller than unity and tends to be L/ξ- independent, while <ρ> grows with L/ξfirst nearly linearly and then polynomially, manifesting the so-called medium localisation.

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Martin Mosko, Pavel Vagner, Michal Bajdich, Thomas Schaepers. 2003-07-01. Coherent "metallic" resistance and medium localisation in a disordered 1D insulator. https://doi.org/10.1103/physrevlett.91.136803

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