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arXiv · 1811.01637

Zero Energy States for a Class of Two-Dimensional Potentials in Graphene

M. V. Ioffe·D. N. Nishnianidze
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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.

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M. V. Ioffe, D. N. Nishnianidze. 2018-11-05. Zero Energy States for a Class of Two-Dimensional Potentials in Graphene. https://doi.org/10.1142/s0217984918503293

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