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• W2942610616 abstract "The rich structure of solid state physics provides us with Dirac materials the effective theory of which enjoys the Lorentz symmetry. In nonsymmorphic lattices, the Lorentz symmetry can be deformed in a way that the null energy-momentum vectors will correspond to the on-shell condition for tilted Dirac cone dispersion. In this sense, tilted Dirac/Weyl materials can be viewed as solid state systems where the effective spacetime is non-Minkowski. In this work, we show that the polarization tensor for tilted Dirac cone systems acquires a covariant form only when the spacetime is considered to be an appropriate deformation of the Minkowski spacetime that is compatible with the dispersion. As a unique consequence of the deformation of the geometry of the spacetime felt by the electrons in tilted Dirac cone materials, the Coulomb density-density interactions will generate corrections in both longitudinal and transverse channels. Therefore the transverse photons also participate in mediating the Coulomb forces, implying emergent Amperean forces associated with the tilt of the spacetime." @default.
• W2942610616 created "2019-05-09" @default.
• W2942610616 creator A5013288835 @default.
• W2942610616 creator A5029403116 @default.
• W2942610616 date "2019-08-06" @default.
• W2942610616 modified "2023-10-10" @default.
• W2942610616 title "Polarization tensor for tilted Dirac fermion materials: Covariance in deformed Minkowski spacetime" @default.
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• W2942610616 doi "https://doi.org/10.1103/physrevb.100.075113" @default.
• W2942610616 hasPublicationYear "2019" @default.
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