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Quantum scattering in the strip: From ballistic to localized regimes
Authors:R Gebarowski  P Šeba  K Życzkowski  J Zakrzewski
Institution:(1) Instytut Fizyki, Politechnika Krakowska im. Tadeusza Kosciuszki, ul. Podchorazych 1, 30-084 Kraków, Poland, PL;(2) Nuclear Physics Institute, Czech Academy of Sciences, 250 68 Rez near Prague, Czech Republic, CZ;(3) Pedagogical University, Hradec Králové, Czech Republic, CZ;(4) Institute for Plasma Research, University of Maryland, College Park, MD 20742, USA, US;(5) Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059 Kraków, Poland, PL
Abstract:Quantum scattering is studied in a system consisting of randomly distributed point scatterers in the strip. The model is continuous yet exactly solvable. Varying the number of scatterers (the sample length) we investigate a transition between the ballistic and the localized regimes. By considering the cylinder geometry and introducing the magnetic flux we are able to study time reversal symmetry breaking in the system. Both macroscopic (conductance) and microscopic (eigenphases distribution, statistics of S-matrix elements) characteristics of the system are examined. Received: 28 January 1998 / Revised: 16 June 1998 / Accepted: 6 July 1998
Keywords:PACS  72  20  Dp General theory  scattering mechanisms - 05  45  +b Theory and models of chaotic systems - 72  10  Bg General formulation          of transport theory
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