Hydrodynamic magneto-transport in holographic charge density wave states

Amoretti, Andrea; Areán, Daniel; Brattan, Daniel K.; Martinoia, Luca

doi:10.1007/jhep11(2021)011

Cited by 14 publications

(6 citation statements)

References 48 publications

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“…Finally, one could check if the universal relation described in this work is also valid for type II or type B pseudo-Goldstone bosons which were previously observed in [108] and [109]. The holographic models of [108][109][110][111] may provide the circumstances for testing these ideasexplorations in this direction are on-going.…”

Section: Discussionmentioning

confidence: 63%

Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography

Ammon,

Arean,

Baggioli

et al. 2021

Preprint

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We investigate the low-energy dynamics of systems with pseudo-spontaneously broken U (1) symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We consider two generalisations of the standard holographic superfluid model by adding an explicit breaking of the U (1) symmetry by either sourcing the charged bulk scalar or by introducing an explicit mass term for the bulk gauge field. We find agreement between the hydrodynamic dispersion relations and the quasi-normal modes of both holographic models. We verify that phase relaxation arises only due to the breaking of the inherent Goldstone shift symmetry. The interplay of a weak explicit breaking of the U (1) and phase relaxation renders the DC electric conductivity finite but does not result in a Drude-like peak. In this scenario we show the validity of a universal relation, found in the context of translational symmetry breaking, between the phase relaxation rate, the mass of the pseudo-Goldstone and the Goldstone diffusivity.

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Section: Discussionmentioning

confidence: 63%

Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography

Ammon,

Arean,

Baggioli

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…One could also check if the universal relation described in this work is valid for type II or type B pseudo-Goldstone bosons which were JHEP03(2022)015 previously observed in [114] and [115]. The holographic models of [114][115][116][117] may provide the circumstances for testing these ideas -explorations in this direction are on-going.…”

Section: Discussionmentioning

confidence: 74%

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Ammon

Areán

Baggioli

et al. 2022

J. High Energ. Phys.

Self Cite

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We investigate the low-energy dynamics of systems with pseudo-spontaneously broken U(1) symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We consider two generalisations of the standard holographic superfluid model by adding an explicit breaking of the U(1) symmetry by either sourcing the charged bulk scalar or by introducing an explicit mass term for the bulk gauge field. We find agreement between the hydrodynamic dispersion relations and the quasi-normal modes of both holographic models. We verify that phase relaxation arises only due to the breaking of the inherent Goldstone shift symmetry. The interplay of a weak explicit breaking of the U(1) and phase relaxation renders the DC electric conductivity finite but does not result in a Drude-like peak. In this scenario we show the validity of a universal relation, found in the context of translational symmetry breaking, between the phase relaxation rate, the mass of the pseudo-Goldstone and the Goldstone diffusivity.

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“…5 For the quasi-normal modes of electrically charged black holes (zero magnetic fields), see [89][90][91]. 6 See also [92] for the quasi-normal mode analysis at zero density in the presence of the strength of Coulomb interactions, [81,85,93,94] for the magneto-phonon in which the translational invariance is broken, and [95][96][97][98][99] for higher dimensional dyonic black holes.…”

Section: Jhep07(2022)065mentioning

confidence: 99%

Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

Jeong

Kim

Sun

2022

J. High Energ. Phys.

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We revisit the magneto-hydrodynamics in (2+1) dimensions and confirm that it is consistent with the quasi-normal modes of the (3+1) dimensional dyonic black holes in the most general set-up with finite density, magnetic field and wave vector. We investigate all possible modes (sound, shear, diffusion, cyclotron etc.) and their interplay. For the magneto-hydrodynamics we perform a complete and detailed analysis correcting some prefactors in the literature, which is important for the comparison with quasi-normal modes. For the quasi-normal mode computations in holography we identify the independent fluctuation variables of the dyonic black holes, which is nontrivial at finite density and magnetic field. As an application of the quasi-normal modes of the dyonic black holes we investigate a transport property, the diffusion constant. We find that the diffusion constant at finite density and magnetic field saturates the lower bound at low temperature. We show that this bound can be understood from the pole-skipping point.

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Hydrodynamic magneto-transport in holographic charge density wave states

Cited by 14 publications

References 48 publications

Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography

Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

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