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arXiv · 1511.08639

Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach

Enrique Arias·Alexis R. Hernández·Caio Lewenkopf
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Abstract

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain. We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field. We study both in-plane and out-of-plane deformations and obtain a closed expression for the effective gauge field due to arbitrary nonuniform sheet deformations. The obtained results reveal a remarkable relation between the local-pseudo magnetic field and the Riemann curvature, so far overlooked.

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Enrique Arias, Alexis R. Hernández, Caio Lewenkopf. 2015-11-27. Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach. https://doi.org/10.1103/physrevb.92.245110

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