
TL;DR
This paper explores the conditions under which zero energy states occur in graphene and relates these states to non-relativistic PT-symmetric quantum mechanics through decoupled Schrödinger-like equations.
Contribution
It introduces a novel connection between zero energy states in graphene and PT-symmetric quantum mechanics, expanding understanding of graphene's electronic properties.
Findings
Identifies potential configurations supporting zero energy states in graphene.
Establishes a link between graphene states and non-Hermitian PT-symmetric quantum mechanics.
Provides mathematical framework for analyzing zero energy states.
Abstract
We obtain zero energy states in graphene for a number of potentials and discuss the relation of the decoupled Schr\"odinger-like equations for the the spinor components with non relativistic symmetric quantum mechanics.
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