Magnetothermoelectric Response from Holography

Blake, Mike; Donos, Aristomenis; Lohitsiri, Nakarin

doi:10.48550/arxiv.1502.03789

Cited by 20 publications

(35 citation statements)

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“…we find agreement with the results of [5]. On the other hand, if we set α q = κq = 0, then these results agree with recent holographic calculations performed at ω = 0 [12,13,14] -see also [32,33]. This sheds light into the differences between these papers and hydrodynamics, and suggests how one might go about resolving this issue.…”

Section: Thermal and Thermoelectric Transportsupporting

confidence: 90%

“…Our assumptions on the momentum mode, and the charge and energy diffusion will be the same as those in [5], but we will not assume any relativistic structure on the underlying theory. Using certain assumptions, our results agree with those of [5], and with the recent holographic papers [12,13,14], and shed light into a discrepancy between the two. Furthermore, our results can, in principle, be applied directly to microscopic models appropriate for the cuprates [6,7,15,16], as we will describe more completely in Section 7.…”

Section: Introductionsupporting

confidence: 89%

“…We may now use ( 13) to obtain M ∂xn∂xn . By time reversal symmetry when B = 0, (∂ x ṅ|∂ x n) = (∂ x ṅ|P x ) = 0; thus we take the abstract projection operator q = 1 in (13). Using that [11]…”

Section: Diffusive Transportmentioning

confidence: 99%

See 2 more Smart Citations

Memory matrix theory of magnetotransport in strange metals

2015

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We model strange metals as quantum liquids without quasiparticle excitations, but with slow momentum relaxation, and with slow diffusive dynamics of a conserved charge and energy. General expressions are obtained for electrical, thermal and thermoelectric transport in the presence of an applied magnetic field using the memory matrix formalism. In the appropriate limits, our expressions agree with previous hydrodynamic and holographic results. We discuss the relationship of such results to thermoelectric and Hall transport measurements in the strange metal phase of the hole-doped cuprates.

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Section: Thermal and Thermoelectric Transportsupporting

confidence: 90%

Section: Introductionsupporting

confidence: 89%

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Memory matrix theory of magnetotransport in strange metals

2015

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“…The above expressions exactly reproduce the results given in [35,40,41]. Carrying on the numerical computation, we can also reproduce the optical conductivity same as [35].…”

Section: Transport At Finite Magnetic Fieldsupporting

confidence: 73%

Wilsonian RG-flow approach to holographic transport with momentum dissipation

Tian

2017

Phys. Rev. D

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We systematically present a new approach for studying the coupled linear transport of holographic systems. In this approach, the set of equations for the linear perturbations can be reduced to a first-order nonlinear ordinary differential equation expressed as the radial (renormalization group) flow equation of the transport matrices. As an important application, we use this approach to compute the DC and AC conductivities of a holographic model with momentum dissipation, which can be easily read off from the nonlinear flow equations. This method also works for transport in the presence of an external magnetic field.arXiv:1702.05470v3 [hep-th]

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“…Our qualitative bound κ/T constant in d = 2 may therefore be relevant to "messier" materials. It also is interesting to extend these ideas to transport at finite frequency and magnetic field [34][35][36][37][38][39][40][41][42].…”

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confidence: 99%

Incoherent thermal transport from dirty black holes

2016

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We study thermal transport in strongly disordered, strongly interacting quantum field theories without quasiparticles using gauge-gravity duality. We analyze linear perturbations of black holes with broken translational symmetry in Einstein-Maxwell-dilaton theories of gravity. Using general geometric arguments in the bulk, we derive bounds on thermal conductivity for the dual disordered field theories in one and two spatial dimensions. In the latter case, the thermal conductivity is always nonzero at finite temperature, so long as the dilaton potential is bounded from below. Hence, generic holographic models make nontrivial predictions about the thermal conductivity in a strongly disordered, strongly coupled metal in two spatial dimensions.

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Magnetothermoelectric Response from Holography

Cited by 20 publications

References 0 publications

Memory matrix theory of magnetotransport in strange metals

Memory matrix theory of magnetotransport in strange metals

Wilsonian RG-flow approach to holographic transport with momentum dissipation

Incoherent thermal transport from dirty black holes

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