Phenomenological Understanding of a Transport Regime with Reflection Symmetry in the Quantum Hall System in a Composite Fermion Picture

Abstract

In this paper, we present a phenomenological picture based on the composite fermion theory, in responding to the recent discovery by Shahar et al. of a new transport regime near the transition from a $\nu =1$ quantum Hall liquid to a Hall insulator(ref[8]). In this picture, the seemingly unexpected reflection symmetry in the longitudinal resistivity ${\rho }_{xx}$ can be understood clearly as due to the symmetry of the gapful excitations which dominate ${\sigma }_{xx}$ across the transition, and the abrupt change in ${\sigma }_{xy}$ at the transition. The parameter $\alpha$ in the linear fit of ${\nu }_0(T)$ in ref[8] is also given a simple physical meaning and the effective mass can be calculated from $\alpha$, which gives a reasonable value of several electron band mass. When taking into account the result of network model, the almost invariant Hall resistivity ${\rho }_{xy}$ across the transition is also well-understood.

4 pages, RevTex, final version to appear in Phys.Rev.B

References in corpus (4)

• Continuous Quantum Phase Transitions
• Scaling Theory of the Integer Quantum Hall Effect
• Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
• Landau Level Mixing and Levitation of Extended States in Two Dimensions