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

2015/11/27 by Enrique Arias, Alexis Hernández, Alexis R. Hernández +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Curvature #Field (mathematics) #Field theory (psychology) #Gauge boson #Gauge fixing #Gauge theory #Geometry #Graphene #Graphene research and applications #Magnetic field #Mathematical physics #Mathematics #Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevb.92.245110

published as Phys. Rev. B 92, 245110 (2015) · 8 pages, 4 figures

arxiv created 2015/11/27 · openalex publication_date 2015/12/08 · arxiv updated 2015/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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-pseudomagnetic field and the Riemann curvature, so far overlooked.

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