Holographic Hydrodynamics of {\it Tilted} Dirac Materials

Abstract

We present a gravity dual to a quantum material with tilted Dirac cone in 2+1 dimensional spacetime. In this many-body system the electronics degrees of freedom are strongly-coupled, constitute a Dirac fluid and admit an effective hydrodynamic description. The holographic techniques are applied to compute the thermodynamic variables and hydrodynamic transports of a fluid on the boundary of an asymptotically anti de Sitter spacetime with a boosted black hole in the bulk. We find that these materials exhibit deviations from the normal Dirac fluid which rely on the tilt of the Dirac cone. In particular, the shear viscosity to entropy density ratio is reduced and the KSS bound is violated in this system. This prediction can be experimentally verified in two-dimensional quantum materials ({\it e.g.} organic $\alpha$-({BEDT}-{TTF})${}_2$I${}_3$ and $8Pmmn$ borophene) with tilted Dirac cone.

7 two-column pages

References in corpus (17)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Dirac materials
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Hydrodynamics of electrons in graphene
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Black hole and Hawking radiation by type-II Weyl fermions
• Non-universal shear viscosity from Einstein gravity
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
• Tunning the tilt of a Dirac cone by atomic manipulations: application to 8Pmmn borophene
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Circuit realization of tilted Dirac cone: A platform for fabrication of curved spacetime geometry on a chip
• Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter

Cited by in corpus (2)

• Smart Holes: Analogue black holes with the right temperature and entropy
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