Magnetoresistance and Hall Constant of Composite Fermions

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 $\nu=1/2$.