Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities
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 si...
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| Format: | Article |
| Language: | English |
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SciPost
2022-06-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.6.204 |
| _version_ | 1811334371261546496 |
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| author | Seth M. Davis, Matthew S. Foster |
| author_facet | Seth M. Davis, Matthew S. Foster |
| author_sort | Seth M. Davis, Matthew S. Foster |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T17:07:50Z |
| format | Article |
| id | doaj.art-4406bbc933174bb68f533fc929b3d30d |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-13T17:07:50Z |
| publishDate | 2022-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-4406bbc933174bb68f533fc929b3d30d2022-12-22T02:38:24ZengSciPostSciPost Physics2542-46532022-06-0112620410.21468/SciPostPhys.12.6.204Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularitiesSeth M. Davis, Matthew S. FosterThe 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.https://scipost.org/SciPostPhys.12.6.204 |
| spellingShingle | Seth M. Davis, Matthew S. Foster Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities SciPost Physics |
| title | Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities |
| title_full | Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities |
| title_fullStr | Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities |
| title_full_unstemmed | Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities |
| title_short | Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities |
| title_sort | geodesic geometry of 2 1 d dirac materials subject to artificial quenched gravitational singularities |
| url | https://scipost.org/SciPostPhys.12.6.204 |
| work_keys_str_mv | AT sethmdavismatthewsfoster geodesicgeometryof21ddiracmaterialssubjecttoartificialquenchedgravitationalsingularities |