Nearly closed ballistic billiard with random boundary transmission

Igor Rozhkov, Ganpathy Murthy

Research output: Contribution to journalArticlepeer-review


A variety of mesoscopic systems can be represented as billiard with a random coupling to the exterior at the boundary. Examples include quantum dots with multiple leads, quantum corrals with different kinds of atoms forming the boundary, and optical cavities with random surface refractive index. We study an electronic billiard with no internal impurities weakly coupled to the exterior by a large number of leads. We construct a supersymmetric nonlinear σ model by averaging over the random coupling strengths between bound states and channels. The resulting theory can be used to evaluate the statistical properties of any physically measurable quantity. As an illustration, we present results for the local density of states.

Original languageEnglish
Article number193311
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number19
StatePublished - Nov 15 2005

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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