Europhys. Lett.
Volume 71, Number 6, September 2005
Page(s) 966 - 972
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 10 August 2005
Europhys. Lett., 71 (6), pp. 966-972 (2005)
DOI: 10.1209/epl/i2005-10172-5

Effect of temperature and bias voltage on the conductance distribution of disordered $\mth{1{\rm d}}$ quantum wires

V. A. Gopar1, 2 and P. Wölfle1

1  Institut für Theorie der Kondensierten Materie, Universität Karlsruhe Wolfgang-Gaedestr. 1, 76128 Karlsruhe, Germany
2  Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Strasse 38, 01187 Dresden, Germany

received 26 May 2005; accepted 12 July 2005
published online 10 August 2005

The statistical properties of the conductance of one-dimensional disordered systems are studied at finite bias voltage V and temperature T, in an independent-electron picture. We calculate the complete distribution of the conductance P(G) in different regimes of V, T within a statistical model of resonant tunneling transmission. We find that P(G) changes from the well-known log-normal distribution at T=0 in the linear response regime to a Gaussian distribution at large V, T. The dependence on T and V of average quantities such as $\langle
G\rangle,\;\langle\ln G\rangle$, is analyzed as well. Our analytical results are confirmed by numerical simulations. We also discuss the limits of validity of the model and conclude that the effects of finite T, V presented here should be observable.

72.10.-d - Theory of electronic transport; scattering mechanisms.
73.23.-b - Electronic transport in mesoscopic systems.

© EDP Sciences 2005