A Supersymmetry approach to billiards with randomly distributed scatterers

Details A Supersymmetry approach to billiards with randomly distributed scatterers A Supersymmetry approach to billiards with randomly distributed scatterers

2002-07-15

arxiv.org/abs/cond-mat/0207351v1

J. Phys. A: Math. Gen. 35 (2002) 5165-5179

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/35/25/302

The density of states for a chaotic billiard with randomly distributed point-like scatterers is calculated, doubly averaged over the positions of the impurities and the shape of the billiard. Truncating the billiard Hamiltonian to a N x N matrix, an explicit analytic expression is obtained for the case of broken time-reversal symmetry, depending on rank N of the matrix, number L of scatterers, and strength of the scattering potential. In the strong coupling limit a discontinuous change is observed in the density of states as soon as L exceeds N.

Affiliated with

Also associated with

No associations

Rating

A Supersymmetry approach to billiards with randomly distributed scatterers 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 A Supersymmetry approach to billiards with randomly distributed scatterers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Supersymmetry approach to billiards with randomly distributed scatterers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375901