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Perpendicular andreev reflection: solid-state signature of black-hole horizon

Faraei, Z ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.100.245436
  3. Publisher: American Physical Society , 2019
  4. Abstract:
  5. Beenakker noticed that the peculiar band structure of Dirac fermions in two-dimensional (2D) solids allows for the specular Andreev reflection in these systems, which has no analogue in other 2D electron systems. An interesting deformation of the Dirac equation in the solid state is to tilt it, which has now been realized in materials. In this paper we report another peculiar feature of the Andreev reflection in tilted 2D Dirac cone systems. The tilt deformation of the Dirac equation is characterized by two parameters ζ=ζ(cosθ,sinθ). We show that when the tilt parameter is tuned to its "horizon value" ζ=1, irrespective of the incidence angle of electrons, the Andreev reflected hole is always reflected perpendicular to the interface. Furthermore, at ζ=1, if the tilt direction is perpendicular to the interface, the conductance will be energy independent for all subgap energies. For generic tilt ζ, the tilt dependence of the conductance line shape can be used to extract information about the direction and magnitude of the tilt. © 2019 American Physical Society
  6. Keywords:
  7. Deformation ; 2D electron system ; Andreev reflection ; Dirac equations ; Dirac fermions ; Extract informations ; Incidence angles ; Tilt deformation ; Two dimensional (2 D) ; Linear equations
  8. Source: Physical Review B ; Volume 10, Issue 24 , 2019 ; 24699950 (ISSN)
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.245436