Orbital Magnetic Ordering in Disordered Mesoscopic Systems

TL;DR

This paper investigates persistent currents and orbital magnetic ordering in disordered mesoscopic systems using numerical and analytical methods, revealing conditions for self-sustaining currents and critical magnetic fields.

Contribution

It introduces a combined numerical and analytical approach to study magnetic ordering and persistent currents in disordered mesoscopic systems of various shapes.

Findings

Identification of self-sustaining currents in disordered systems

Determination of critical magnetic fields for orbital magnetic ordering

Validation of analytical formulae with numerical simulations

Abstract

We present some model calculations of persistent currents in disordered one- and two-dimensional mesoscopic systems. We use the tight-binding model and calculate numerically the currents in small systems for several values of disorder. Next we fit appropriate analytical formulae, and using them we find self- -sustaining currents and critical fields in larger, more realistic systems with different shapes of the Fermi surfaces.