Magnetoresistance and Hall Constant of Composite Fermions

TL;DR

This paper investigates how disorder and interactions influence the magnetoresistance and Hall constant of composite fermions near half-filled Landau levels, revealing logarithmic temperature corrections and explaining resistivity minima.

Contribution

It introduces a theoretical framework accounting for disorder and interaction effects on composite fermions, highlighting unique temperature corrections not seen in standard electron gases.

Findings

Logarithmic temperature corrections to Hall conductivity and magnetoresistance.

No first-order correction to the Hall constant.

Potential explanation for resistivity minimum at filling factor ν=1/2.

Abstract

We consider both disorder and interaction effects on the magnetoresistance and Hall constant of composite fermions in the vicinity of half filled Landau level. By contrast to the standard case of Coulomb interacting two-dimensional electron gas we find logarithmic temperature corrections to the Hall conductivity and the magnetoresistance of composite fermions whereas the Hall constant acquires no such correction in the lowest order. The theory provides a possible explanation of the resistivity minimum at filling factor $\nu=1/2$.