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

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.

8 pages, 4 figures

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• Electronic properties of curved few-layers graphene: a geometrical approach
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• Time-Dependent Strain in Graphene
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• A generalized framework for straintronics in 2D quantum materials using group theory
• Effective tunnel conductance and effective ac conductivity of randomly strained graphene
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• Two-dimensional Dirac matter in the semiclassical regime
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