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arXiv · 2209.03378

Curvature-induced pseudogauge fields from time-dependent geometries in graphene

Pablo A. Morales·Patrick Copinger
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Abstract

The massless Dirac equation is studied in curved spacetime on the (2+1)-dimensional graphene sheet in time-dependent geometries. Emergent pseudogauge fields are found both in the adiabatic regime and, for high-frequency periodic geometries, in the nonadiabatic regime for a generic Friedmann-Lema\^itre-Robertson-Walker metric in Fermi normal coordinates. The former extends the conventionally understood homogeneous pseudogauge field to include weak temporal inhomogeneities. The latter, through the usage of Floquet theory, represents a new class of emergent pseudogauge field and is argued to potentially provide a condensed matter realization of cosmological high-frequency geometries.

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Pablo A. Morales, Patrick Copinger. 2022-09-07. Curvature-induced pseudogauge fields from time-dependent geometries in graphene. https://doi.org/10.1103/physrevb.107.075432

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