Curvature-induced pseudogauge fields from time-dependent geometries in graphene
arXiv:2209.03378 · doi:10.1103/PhysRevB.107.075432
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-Lemaître-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.
arXiv comment13 pages, 1 figure; version accepted for publication in Physical Review B
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