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

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

1997-06-23

arxiv.org/abs/cond-mat/9706233v3

Phys. Rev. Lett. 79 3478 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages + 3 figs

Scientific paper

10.1103/PhysRevLett.79.3478

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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