Zero Energy States for a Class of Two-Dimensional Potentials in Graphene
Mesoscale and Nanoscale Physics
2018-11-14 v1 Quantum Physics
Abstract
The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of scalar potentials. In contrast to most publications on analytical solutions of massless two-dimensional Dirac equation, our potentials really depend on both spatial coordinates in some bounded domain. Several examples of such construction are given explicitly.
Cite
@article{arxiv.1811.01637,
title = {Zero Energy States for a Class of Two-Dimensional Potentials in Graphene},
author = {M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:1811.01637},
year = {2018}
}
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9 pages