Quantum Hall Transitions in Field Induced Spin Density Wave Systems

TL;DR

This paper investigates the quantum Hall transitions in FISDW systems, explaining resistivity peaks and energy state splitting through disorder-induced coexistence regions and spin mixing effects.

Contribution

It introduces a model linking disorder in FISDW systems to quantum Hall transition phenomena, including resistivity peaks and energy state splitting.

Findings

Resistivity peaks correspond to disorder-induced coexistence regions.

Energy splitting results from random spin mixing.

Peak widths depend on temperature and saturate below 40 mK.

Abstract

Field Induced Spin Density Wave (FISDW) systems exhibit coexistence phases between well defined quantum Hall plateau phases with even integers 2N and 2N'. We show that a disordered coexistence region accounts for the observed peaks in the longitudinal resistivity as the field varies between plateaux. It also results in a random spin mixing which yields two energy split extended states. The longitudinal resistance is expected to show peaks witha temperature (T) dependent width proportional to the kappa's power of T. The peak width should saturate below the non-nesting interlayer coupling of order 40 mK