Observing the inhomogeneity in the holographic models of superconductors

Kuang, Xiao-Mei; Wang, Bin; Ge, Xian-Hui

doi:10.1142/s0217732314500709

Cited by 7 publications

(7 citation statements)

References 40 publications

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“…5 Holographic superconductors with spatially modulated orders have been studied in a number of setups, starting with [19], in which striped modulations were sourced by a periodic chemical potential, with many generalizations in the literature since then, e.g. [20][21][22][23][24]. A study of backreaction by adding a lattice in the form of a periodic potential was reported in [25].…”

Section: Jhep08(2017)081mentioning

confidence: 99%

Intertwined orders in holography: pair and charge density waves

Cremonini

Ren

2017

J. High Energ. Phys.

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Building on [1], we examine a holographic model in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. The symmetry breaking is realized through the Stückelberg mechanism, and leads to a scalar condensate and a charge density which are spatially modulated and exhibit unidirectional stripe order. Depending on the choice of parameters, the oscillations of the scalar condensate can average out to zero, with a frequency which is half of that of the charge density. In this case the system realizes some of the key features of pair density wave order. The model also admits a phase with co-existing superconducting and charge density wave orders, in which the scalar condensate has a uniform component. In our construction the various orders are intertwined with each other and have a common origin. The fully backreacted geometry is computed numerically, including for the case in which the theory contains axions. The latter can be added to explicitly break translational symmetry and mimic lattice-type effects.

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Section: Jhep08(2017)081mentioning

confidence: 99%

Intertwined orders in holography: pair and charge density waves

Cremonini

Ren

2017

J. High Energ. Phys.

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“…An accurate realization of thermoelectric conductivities in real condensed matter systems requires us to include mechanisms for momentum dissipation. Recently, it was suggested to introduce momentum relaxation in holography by exploiting spatially dependent sources for scalar operators or using the massive gravity [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. The reduction action for the anisotropic black brane used in this paper, is the Einstein-Maxwell dilaton-axion theory.…”

Section: Introductionmentioning

confidence: 99%

Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model

Ling

Niu

et al. 2015

Phys. Rev. D

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We study thermoelectric conductivities and shear viscosities in a holographically anisotropic model, which is dual to a spatially anisotropic N = 4 super-Yang-Mills theory at finite chemical potential. Momentum relaxation is realized through perturbing the linear axion field. Ac conductivity exhibits a coherent/incoherent metal transition. Deviations from the Wiedemann-Franz law are also observed in our model. The longitudinal shear viscosity for prolate anisotropy violates the bound conjectured by Kovtun-Son-Starinets. We also find that thermodynamic and dynamical instabilities are not always equivalent by examining the Gubser-Mitra conjecture.

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“…To make our life easier, in what follows we shall not touch upon the striped phase structure as in [38,39], but restrict ourselves solely on the homogeneous phase structure of our model, which can be implemented by the homogeneous ansatz for the bulk matter fields as…”

Section: Holographic Modelmentioning

confidence: 99%

Zero Temperature Holographic Superfluids with Two Competing Orders

Li,

Tian,

Zhang

et al. 2016

Preprint

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We initiate the investigation of the zero temperature holographic superfluids with two competing orders, where besides the vacuum phase, two one component superfluid phases, the coexistent superfluid phase has also been found in the AdS soliton background for the first time. We construct the complete phase diagram in the e − µ plane by numerics, which is consistent with our qualitative analysis. Furthermore, we calculate the corresponding optical conductivity and sound speed by the linear response theory. The onset of pole of optical conductivity at ω = 0 indicates that the spontaneous breaking phase always represents the superfluid phase, and the residue of pole is increased with the chemical potential, which is consistent with the fact that the particle density is essentially the superfluid density for zero temperature superfluids. In addition, the resulting sound speed demonstrates the non-smoothness at the critical points as the order parameter of condensate, which indicates that the phase transitions can also be identified by the behavior of sound speed.Moreover, as expected from the boundary conformal field theory, the sound speed saturates to 1 √ 2 at the large chemical potential limit for our two component holographic superfluid model.

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Observing the inhomogeneity in the holographic models of superconductors

Cited by 7 publications

References 40 publications

Intertwined orders in holography: pair and charge density waves

Intertwined orders in holography: pair and charge density waves

Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model

Zero Temperature Holographic Superfluids with Two Competing Orders

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