Delocalization of 2D Dirac Fermions: the Role of a Broken Supersymmetry

Abstract

The mechanism of delocalization of two-dimensional Dirac fermions with random mass is investigated, using a superfield representation. Although localization effects are very strong, one fermion component can delocalize due to the spontaneous breaking of a special supersymmetry of the model. The delocalized fermion has a non-singular density of states and is decribed by a diffusion propagator. Supersymmetry is restored if the mean of the random mass is sufficiently large. This is accompanied by a critical boson component.

4 pages

References in corpus (1)

• Is the Peak Value of ${\sigma }_{xx}$ at the Quantum Hall Transition Universal?

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