Semiclassical analysis of the quantum interference corrections to the conductance of mesoscopic systems

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Abstract

The Kubo formula for the conductance of a mesoscopic system is analyzed semiclassically, yielding simple expressions for both weak localization and universal conductance fluctuations. In contrast to earlier work that dealt with times shorter than O(ln(Formula presented)), here longer times are taken to give the dominant contributions. For such long times, many distinct classical orbits may obey essentially the same initial and final conditions on positions and momenta, and the interference between pairs of such orbits is analyzed. Application to a chain of k classically ergodic scatterers connected in series gives -1/3[1-(k+1(Formula presented)] for the weak localization correction to the zero-temperature dimensionless conductance, and 2/15[1-(k+1(Formula presented)] for the variance of its fluctuations. These results interpolate between the well-known ones of random scattering matrices for k=1, and those of the one-dimensional diffusive wire for k→∞.

Original languageEnglish
Pages (from-to)7035-7054
Number of pages20
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume53
Issue number11
DOIs
StatePublished - 1 Jan 1996
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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