Incoherent transport in clean quantum critical metals
TLDR
In this paper, the authors describe the physics of σcffff Q in quantum critical metals obtained by charge doping a strongly interacting conformal field theory and show that it satisfies an Einstein relation and controls the diffusivity of conserved charge in the metal.Abstract:
In a clean quantum critical metal, and in the absence of umklapp, most d.c. conductivities are formally infinite due to momentum conservation. However, there is a particular combination of the charge and heat currents which has a finite, universal conductivity. In this paper, we describe the physics of this conductivity σ
Q in quantum critical metals obtained by charge doping a strongly interacting conformal field theory. We show that it satisfies an Einstein relation and controls the diffusivity of a conserved charge in the metal. We compute σ
Q in a class of theories with holographic gravitational duals. Finally, we show how the temperature scaling of σ
Q depends on certain critical exponents characterizing the quantum critical metal. The holographic results are found to be reproduced by the scaling analysis, with the charge density operator becoming marginal in the emergent low energy quantum critical theory.read more
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Holographic Quantum Matter
TL;DR: In this paper, a review of theories of states of quantum matter without quasiparticle excitations is provided through a holographic duality with gravitational theories in an emergent spatial dimension.
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Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
Richard A. Davison,Wenbo Fu,Antoine Georges,Antoine Georges,Antoine Georges,Yingfei Gu,Kristan Jensen,Subir Sachdev,Subir Sachdev +8 more
TL;DR: In this article, the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number Q were investigated.
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Dissecting holographic conductivities
TL;DR: In this paper, the frequency-dependent conductivities of a DC thermoelectric system in which translational symmetry is broken are computed in terms of the near-horizon data of the dual black hole.
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Holographic Phonons
TL;DR: A class of holographic massive gravity models are presented that realize a spontaneous breaking of translational symmetry-they exhibit transverse phonon modes whose speed relates to the elastic shear modulus according to elasticity theory.
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Entropy production, viscosity bounds and bumpy black holes
TL;DR: In this article, the authors show that η/s tends to a constant at T = 0, with ν ≤ 1 in all cases they have considered, and they note that they are consistent with a possible bound on the rate of entropy production due to strain.
References
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