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Resonant scattering in a strong magnetic field: exact density of states

T. V. Shahbazyan·S. E. Ulloa
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Abstract

We study the structure of 2D electronic states in a strong magnetic field in the presence of a large number of resonant scatterers. For an electron in the lowest Landau level, we derive the exact density of states by mapping the problem onto a zero-dimensional field-theoretical model. We demonstrate that the interplay between resonant and non-resonant scattering leads to a non-analytic energy dependence of the electron Green function. In particular, for strong resonant scattering the density of states develops a gap in a finite energy interval. The shape of the Landau level is shown to be very sensitive to the distribution of resonant scatterers.

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T. V. Shahbazyan, S. E. Ulloa. 1997-10-02. Resonant scattering in a strong magnetic field: exact density of states. https://doi.org/10.1103/physrevlett.79.3478

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