Localization and dynamic persistent currents in long cylinders

TL;DR

This paper investigates the dynamic magnetic response of long disordered cylinders, revealing localization effects and persistent diamagnetic currents at low frequencies, with implications for understanding quantum transport in extended systems.

Contribution

It demonstrates the coexistence of localization and persistent currents in long cylinders under dynamic magnetic fields, highlighting frequency-dependent conduction behavior.

Findings

High-frequency conduction is classical in all directions.

Low-frequency behavior shows localization longitudinally.

Persistent diamagnetic currents exist transversally even in infinitely long cylinders.

Abstract

A dynamic response to a magnetic field in a long disordered cylinder is considered. We show that, although at high frequencies conduction is classical in all directions, the low frequency behavior corresponds to localization in the longitudinal direction and to a diamagnetic dynamic persistent current in the transversal one. The current density does not vanish even in the limit of the infinitely long cylinder.