Universal statistics of transport in disordered conductors

1994/03/31 by Hyunwoo Lee, Hyun‐Woo Lee, Leonid Levitov +3 · 5 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.51.4079

published as Phys. Rev. B 51, 4079 (1995) · 11 pages, REVTEX3.0, MIT-CMT-HL9409

arxiv created 1994/09/22 · openalex publication_date 1995/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study electron counting statistics of a disordered conductor in the low-temperature limit. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random-matrix theory. In the metallic regime, the peak of the distribution is Gaussian and shows negligible sample-to-sample variations. On the contrary, the tails of the distribution are neither Gaussian nor Poisson-like and exhibit strong sample-to-sample variations.

Citations

• Thermal Agitation of Electric Charge in Conductors

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