Quantum scattering in the strip: from ballistic to localized regimes

TL;DR

This paper investigates quantum scattering in a continuous, exactly solvable model with random point scatterers, exploring the transition from ballistic to localized regimes and effects of magnetic flux on symmetry breaking.

Contribution

It introduces an exactly solvable continuous model to study quantum scattering transitions and symmetry breaking in a strip geometry.

Findings

Identifies the transition point between ballistic and localized regimes.

Analyzes the impact of magnetic flux on time reversal symmetry.

Provides detailed statistical characterization of the S-matrix.

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.