Conductance Distributions in Chaotic Mesoscopic Cavities

Details Conductance Distributions in Chaotic Mesoscopic Cavities Conductance Distributions in Chaotic Mesoscopic Cavities

2011-05-22

arxiv.org/abs/1105.4361v1

Journal of Physics A, Volume 43, Number 28, Pages 285101, 2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 4 figures

Scientific paper

10.1088/1751-8113/43/28/285101

We consider the conductance distributions in chaotic mesoscopic cavities for all three invariant classes of random matrices for the arbitrary number of channels N1, N2 in the connecting leads. We show that the Laplace transforms of the distributions can be expressed in terms of determinants in the unitary case and Pfaffians in the orthogonal and symplectic cases. The inverse Laplace transforms then give the exact distributions. This formalism is particularly useful for small values of N = min (N1, N2), and thus is of direct experimental relevance. We also obtain the conductance distributions for orthogonal-unitary and symplectic-unitary crossover ensembles.

Affiliated with

Also associated with

No associations

Rating

Conductance Distributions in Chaotic Mesoscopic Cavities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conductance Distributions in Chaotic Mesoscopic Cavities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conductance Distributions in Chaotic Mesoscopic Cavities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330376