Eur. Phys. J. B 6, 399-409 (1998)
https://doi.org/10.1007/s100510050567

Quantum scattering in the strip: From ballistic to localized regimes

¹ Instytut Fizyki, Politechnika Krakowska im. Tadeusza Kościuszki, ul. Podchorążych 1, 30–084 Kraków, Poland
² Nuclear Physics Institute, Czech Academy of Sciences, 250 68 Řež near Prague, Czech Republic
³ Pedagogical University, Hradec Králové, Czech Republic
⁴ Institute for Plasma Research, University of Maryland, College Park, MD 20742, USA
⁵ Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland

Corresponding author: ^a robert@jaguar.am.qub.ac.uk

Received: 28 January 1998
Revised: 16 June 1998
Accepted: 6 July 1998
Published online: 15 December 1998

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.