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Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities

by S. M. Davis, M. S. Foster

Submission summary

As Contributors: Seth Davis
Preprint link: scipost_202107_00036v1
Date submitted: 2021-07-20 18:33
Submitted by: Davis, Seth
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


The spatial modulation of the Fermi velocity for gapless Dirac electrons in quantum materials is mathematically equivalent to the problem of massless fermions on a certain class of curved spacetime manifolds. We study null geodesic lensing through these manifolds, which are dominated by curvature singularities, such as nematic singularity walls (where the Dirac cone flattens along one direction). Null geodesics lens across these walls, but do so by perfectly collimating to a local transit angle. Nevertheless, nematic walls can trap null geodesics into stable or metastable orbits characterized by repeated transits. We speculate about the role of induced one-dimensionality for such bound orbits in 2D dirty d-wave superconductivity.

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Submission scipost_202107_00036v1 on 20 July 2021

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