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

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

1997-11-11

arxiv.org/abs/cond-mat/9711097v1

Phys. Rev. Lett. 80, 3113 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.80.3113

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.

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