An analysis of the zero energy states in graphene
P. Ghosh, P. Roy

TL;DR
This paper investigates the creation of zero energy states in graphene using complex non-PT symmetric potentials, analyzing the conditions under which these states can exist and considering the effects of holes.
Contribution
It introduces a novel approach using complex non-PT symmetric potentials to analyze zero energy states in graphene, expanding understanding of their formation conditions.
Findings
Zero energy states exist within specific potential parameter ranges.
The presence of holes affects the zero energy states.
Conditions for the creation of zero energy states are characterized.
Abstract
Using the concept of complex non PT symmetric potential we study creation of zero energy states in graphene by a scalar potential. The admissible range of the potential parameter values for which such states exist has been examined. The situation with respect to the holes has also been investigated.
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