Localization in a rough billiard: A sigma model formulation

Details Localization in a rough billiard: A sigma model formulation Localization in a rough billiard: A sigma model formulation

1997-02-15

arxiv.org/abs/cond-mat/9702145v1

Physics

Condensed Matter

4 pages, Revtex, no figures, to appear in Phys. Rev. B, Rapid Communications

Scientific paper

10.1103/PhysRevB.55.R8626

We consider the quantum dynamics of a particle in a weakly rough billiard. The Floquet operator for reflection at the boundary is obtained as a unitary band matrix. The resulting dynamics in angular momentum space can be treated in the framework of the one-dimensional supersymmetric nonlinear sigma model. We find analytically localization and the corresponding localization length $\xi=D_{cl}$ where $D_{cl}$ is the classical diffusion constant due to boundary scattering.

Affiliated with

Also associated with

No associations

Rating

Localization in a rough billiard: A sigma model formulation 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 Localization in a rough billiard: A sigma model formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization in a rough billiard: A sigma model formulation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629641