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Electron currents from gradual heating in tilted dirac cone materials

Moradpouri, A. R ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.21468/SciPostPhysCore.6.1.010
  3. Publisher: SciPost Foundation , 2023
  4. Abstract:
  5. Materials hosting tilted Dirac/Weyl fermions provide an emergent spacetime structure for the solid state physics. They admit a geometric description in terms of an effective spacetime metric. Using this metric that is rooted in the long-distance behavior of the underlying lattice, we formulate the hydrodynamic theory for tilted Dirac/Weyl materials in 2 + 1 spacetime dimensions. We find that the mingling of space and time through the off-diagonal components of the metric gives rise to: (i) heat and electric currents proportional to the temporal gradient of temperature, ∂t T and (ii) a non-zero Hall-like conductance σi j ∝ζiζj where ζj parameterize the tilt in j'th space direction. The finding (i) above that can be demonstrated in the laboratory, implies that the non-trivial emergent spacetime geometry in these materials empowers them with a fascinating capability to harness naturally available sources of ∂t T of hot deserts to produce electric current. We further find a tilt-induced non-Drude contribution to conductivity which can be experimentally disentangled from the usual Drude pole. © 2023 A. Moradpouri et al
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  8. Source: SciPost Physics Core ; Volume 6, Issue 1 , 2023 ; 26669366 (ISSN)
  9. URL: https://scipost.org/SciPostPhysCore.6.1.010