Two-dimensional zero-gap electronic states at a magnetic field
Mesoscale and Nanoscale Physics
2009-06-23 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.0906.4072,
title = {Two-dimensional zero-gap electronic states at a magnetic field},
author = {S. A. Ktitorov and Yu. V. Petrov},
journal= {arXiv preprint arXiv:0906.4072},
year = {2009}
}