Two-dimensional zero-gap electronic states at a magnetic field

Details Two-dimensional zero-gap electronic states at a magnetic field Two-dimensional zero-gap electronic states at a magnetic field

2009-06-22

arxiv.org/abs/0906.4072v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

This work was firstly published in 1986 \cite{we}. No real two-dimensional object with the zero-gap quasi-relativistic spectrum was known in that time. Such an object is well known now: this is graphene. That is why we decided to present it again as a e-print in a slightly modified form. A density of the two-dimensional zero-gap electronic states at the quantizing magnetic field in the presence the Gaussian random potential has been calculated. The problem is reduced to zero-dimensional spinor field theory using the holomorphic supersymmetric representation. The calculated density of states in the case of the mass perturbation has a delta function peak in the Dirac point.This peak smears due to the potential perturbation.

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