Homes’ law in holographic superconductor with linear-T resistivity

Jeong, Hyun-Sik; Kim, Keun‐Young

doi:10.1007/jhep03(2022)060

Cited by 13 publications

(11 citation statements)

References 62 publications

(179 reference statements)

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“…In this work, we combine the holographic superfluid model of [47] with the holographic solid model of [55] to build a holographic supersolid -a holographic system which breaks spontaneously translations together with a global U(1) symmetry. 4 The combination of superfluidity with broken translations has been already discussed in the holographic literature [69][70][71][72][73][74][75][76][77][78][79][80] but always in the context of momentum dissipation, i.e. explicit breaking of translations.…”

Section: Jhep06(2022)152mentioning

confidence: 99%

Holographic supersolids

Baggioli

Frangi

2022

J. High Energ. Phys.

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A supersolid is a system that presents long-range order and shear rigidity as a solid but which also supports a non-dissipative superflow as a superfluid. From an effective perspective, supersolids are identified with phases of matter that break spontaneously translational invariance together with a global U(1) symmetry. By using this symmetry prescription, we build a holographic bottom-up model for supersolids and we start the investigation of its thermodynamic and mechanical properties. More precisely, we analyze the behaviour of the critical temperature, the condensate, the shear modulus and the viscosity across all the phase diagram. Finally, we successfully compare our results with a simple Ginzburg-Landau model for supersolids deriving some universal physical correlations between the observables mentioned above.

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Section: Jhep06(2022)152mentioning

confidence: 99%

Holographic supersolids

Baggioli

Frangi

2022

J. High Energ. Phys.

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“…(3.1) 13 For the recent development of holographic superconductors, we refer the reader to [128][129][130][131][132][133][134] and references therein.…”

Section: The Modelmentioning

confidence: 99%

Holographic entanglement density for spontaneous symmetry breaking

Jeong

Kim

Sun

2022

J. High Energ. Phys.

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We investigate the properties of the holographic entanglement entropy of the systems in which the U(1) or the translational symmetry is broken spontaneously. For this purpose, we define the entanglement density of the strip-subsystems and examine both the first law of entanglement entropy (FLEE) and the area theorem. We classify the conditions that FLEE and/or the area theorem obey and show that such a classification may be useful for characterizing the systems. We also find universalities from both FLEE and the area theorem. In the spontaneous symmetry breaking case, FLEE is always obeyed regardless of the type of symmetry: U(1) or translation. For the translational symmetry, the area theorem is always violated when the symmetry is weakly broken, independent of the symmetry breaking patterns (explicit or spontaneous). We also argue that the log contribution of the entanglement entropy from the Goldstone mode may not appear in the strongly coupled systems.

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“…Let us first consider the hydrodynamics with no density (ρ = 0). 10 Moreover, motivated by M 2-brane magneto-hydrodynamics [41], we may set…”

Section: Zero Densitymentioning

confidence: 99%

“…For recent developments of the holographic study for the holographic superconductivity, see[10,11] 2. See also[20,[30][31][32][33][34][35] for the study of the bound of diffusion constants from the linearized hydrodynamics using quasi-normal modes.…”

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confidence: 99%

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

Jeong¹,

Kim²,

Sun³

2022

Preprint

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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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Homes’ law in holographic superconductor with linear-T resistivity

Cited by 13 publications

References 62 publications

Holographic supersolids

Holographic supersolids

Holographic entanglement density for spontaneous symmetry breaking

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

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