Hard-gapped holographic superconductors

Basu, Prabir; He, Junpeng; Mukherjee, Anindya; Shieh, Hsien-Hang

doi:10.1016/j.physletb.2010.04.042

Cited by 76 publications

(100 citation statements)

References 19 publications

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“…The general definition stated here should be useful in analyzing cases where we have spontaneous symmetry breaking in the boundary, particularly when these order parameters break rotational invariance [42]. We note that at zero temperature k F is strictly real and corresponds to the pole at ω = 0, but for non-zero temperatures the pole at ω = 0 is complex.…”

Section: B Non-equilibrium Dynamics At the Fermi-surfacementioning

confidence: 98%

Holographic spectral function in nonequilibrium states

Banerjee¹,

Iyer²,

Mukhopadhyay³

2012

Phys. Rev. D

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We develop holographic prescriptions for obtaining spectral functions in non-equilibrium states and space-time dependent non-equilibrium shifts in the energy and spin of quasi-particle like excitations. We reproduce strongly coupled versions of aspects of non-equilibrium dynamics of Fermi surfaces in Landau's Fermi-liquid theory. We find that the incoming wave boundary condition at the horizon does not suffice to obtain a well-defined perturbative expansion for non-equilibrium observables. Our prescription, based on analysis of regularity at the horizon, allows such a perturbative expansion to be achieved nevertheless and can be precisely formulated in a universal manner independent of the non-equilibrium state, provided the state thermalizes. We also find that the non-equilibrium spectral function furnishes information about the relaxation modes of the system. Along the way, we argue that in a typical non-supersymmetric theory with a gravity dual, there may exist a window of temperature and chemical potential at large N , in which a generic non-equilibrium state can be characterized by just a finitely few operators with low scaling dimensions, even far away from the hydrodynamic limit.

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Section: B Non-equilibrium Dynamics At the Fermi-surfacementioning

confidence: 98%

Holographic spectral function in nonequilibrium states

Banerjee¹,

Iyer²,

Mukhopadhyay³

2012

Phys. Rev. D

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“…Non-trivial holographic RG flow for some components of the shear viscosity tensor has also been reported in other anisotropic systems with gravity dual. Recent work [32], in anisotropic superfluids [17], has shown that the holographic RG flow of some components of the shear viscosity tensor is non-trivial.…”

Section: Introductionmentioning

confidence: 99%

Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma

Mamo

2012

J. High Energ. Phys.

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Abstract:We study holographic RG flow of the shear viscosity tensor of anisotropic, strongly coupled N = 4 super-Yang-Mills plasma by using its type IIB supergravity dual in anisotropic bulk spacetime. We find that the shear viscosity tensor has three independent components in the anisotropic bulk spacetime away from the boundary, and one of the components has a non-trivial RG flow while the other two have a trivial one. For the component of the shear viscosity tensor with non-trivial RG flow, we derive its RG flow equation, and solve the equation analytically to second order in the anisotropy parameter a. We derive the RG equation using the equation of motion, holographic Wilsonian RG method, and Kubo's formula. All methods give the same result. Solving the equation, we find that the ratio of the component of the shear viscosity tensor to entropy density η s flows from above 1 4π at the horizon (IR) to below 1 4π at the boundary (UV) where it violates the holographic shear viscosity (Kovtun-Son-Starinets) bound and where it agrees with the other longitudinal component.

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“…It has been applied to study the holographic shear viscosity [5][6][7][8], holographic superconductors [9,10] and holographic (non)fermi-liquids [11][12][13]. In this paper, we will focus on the holographic p-wave superconductors [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Holographic phase transitions ofp-wave superconductors in Gauss-Bonnet gravity with backreaction

Cai¹,

Nie²,

Zhang

2011

Phys. Rev. D

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We investigate the phase transitions of holographic p-wave superconductors in (4 + 1)-dimensional Einstein-Yang-Mills-Gauss-Bonnet theories, in a grand canonical ensemble. Turning on the back-reaction of the Yang-Mills field, it is found that the condensations of vector order parameter become harder if the Gauss-Bonnet coefficient grows up or the back-reaction becomes stronger. In particular, the vector order parameter exhibits the features of first order and second order phase transitions, while only the second order phase transition is observed in the probe limit. We discuss the roles that the Gauss-Bonnet term and the back-reaction play in changing the order of phase transition.

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Hard-gapped holographic superconductors

Cited by 76 publications

References 19 publications

Holographic spectral function in nonequilibrium states

Holographic spectral function in nonequilibrium states

Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma

Holographic phase transitions ofp-wave superconductors in Gauss-Bonnet gravity with backreaction

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