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Quantum Simulation

Discrete symmetry in graphene: the Dirac equation and beyond

arXiv
Authors: Emerson Sadurní, Eladio Rivera-Mociños, Alfonso Rosado

Year

2014

Paper ID

46310

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

N/A

Abstract

In this pedagogical paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2 + 1 dimensional case. Motivated by new applications of the 2d Dirac equation in condensed matter, we further analyze the discrete symmetries of a full tight-binding model in hexagonal lattices without conical approximations. We touch upon an effective CPT symmetry breaking that occurs when deformations and second-neighbor corrections are considered.

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  • In this pedagogical paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2...

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