Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1996-11-13
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14P, Latex
Scientific paper
10.1103/PhysRevB.55.7155
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.
Hikami Shinobu
Minakuchi K.
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