Diagrammatic analysis of the two-state quantum Hall system with chiral invariance

Abstract

The quantum Hall system in the lowest Landau level with Zeeman term is studied by a two-state model, which has a chiral invariance. Using a diagrammatic analysis, we examine this two-state model with random impurity scattering, and find the exact value of the conductivity at the Zeeman energy $E=\Delta$. We further study the conductivity at the another extended state $E=E_1$ ($E_1>\Delta$). We find that the values of the conductivities at $E=0$ and $E=E_1$ do not depend upon the value of the Zeeman energy $\Delta$. We discuss also the case where the Zeeman energy $\Delta$ becomes a random field.

14P, Latex

References in corpus (5)

• Two-dimensional conformal field theory for disordered systems at criticality
• A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
• Oscillating density of states near zero energy for matrices made of blocks with possible application to the random flux problem
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Cited by in corpus (1)

• Field Theory of the Random Flux Model