Linear resistivity from non-abelian black holes

The linear-T resistivity is one of the characteristic and universal properties of strange metals. There have been many progresses in understanding it from holographic perspective (gauge/gravity duality). In most holographic models, the linear-T resistivity is explained by the property of the infrared geometry and valid at low temperature limit. On the other hand, experimentally, the linear-T resistivity is observed in a large range of temperatures, up to room temperature. By using holographic models related to the Gubser-Rocha model, we investigate how much the linear-T resistivity is robust at higher temperature above the superconducting phase transition temperature. We find that strong momentum relaxation plays an important role to have a robust linear-T resistivity up to high temperature.

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“…See[38] for linear-T resistivity in p-wave holographic superconductor models without momentum relaxation.…”

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confidence: 99%

Linear-T resistivity at high temperature

Jeong

Niu

Kim

2018

J. High Energ. Phys.

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“…in the conventions of references [23,44]. Besides being often present in literature, they proved to be convenient in some numerical computations.…”

Section: B Ah Conventionsmentioning

confidence: 99%

Holographic phase transitions from higgsed, non abelian charged black holes

Giordano

Lugo

2015

J. High Energ. Phys.

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We find solutions of a gravity-Yang-Mills-Higgs theory in four dimensions that represent asymptotic anti-de Sitter charged black holes with partial/full gauge symmetry breaking. We then apply the AdS/CFT correspondence to study the strong coupling regime of a 2 + 1 quantum field theory at temperature T and finite chemical potential, which undergoes transitions to phases exhibiting the condensation of a composite charged vector operator below a critical temperature T c , presumably describing p + ip/p-wave superconductors. In the case of p + ip-wave superconductors the transitions are always of second order. But for p-wave superconductors we determine the existence of a critical value α c of the gravitational coupling (for fixed Higgs v.e.v. parameterm W ) beyond which the transitions become of first order. As a by-product, we show that the p-wave phase is energetically favored over the p + ip one, for any values of the parameters. We also find the ground state solutions corresponding to zero temperature. Such states are described by domain wall geometries that interpolate between AdS 4 spaces with different light velocities, and for a givenm W , they exist below a critical value of the coupling. The behavior of the order parameter as function of the gravitational coupling near the critical coupling suggests the presence of second order quantum phase transitions. We finally study the dependence of the solution on the Higgs coupling, and find the existence of a critical value beyond which no condensed solution is present.

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“…This allowed us to discover previously neglected parity-breaking terms that were originated by quantum anomalies [20][21][22]. To study non-Abelian DOFs coupled to fluids, we need a new background of black hole with non-Abelian Yang-Mills hair [23][24][25]. However, in AdS/CFT correspondence, local symmetry in the bulk gravity is mapped to global symmetry in the boundary theory.…”

Section: Jhep02(2017)122mentioning

confidence: 99%

“…Moreover, it was observed in [25] that employing a non-Abelian gauge transformation allows one to obtain a finite conductivity without breaking translational symmetry.…”

Section: Jhep02(2017)122mentioning

confidence: 99%

A new approach to non-Abelian hydrodynamics

Fernandez-Melgarejo

Rey

Surówka

2017

J. High Energ. Phys.

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We present a new approach to describe hydrodynamics carrying non-Abelian macroscopic degrees of freedom. Based on the Kaluza-Klein compactification of a higherdimensional neutral dissipative fluid on a manifold of non-Abelian isometry, we obtain a four-dimensional colored dissipative fluid coupled to Yang-Mills gauge field. We derive transport coefficients of resulting colored fluid, which feature non-Abelian character of color charges. In particular, we obtain color-specific terms in the gradient expansions and response quantities such as the conductivity matrix and the chemical potentials. We argue that our Kaluza-Klein approach provides a robust description of non-Abelian hydrodynamics, and discuss some links between this system and quark-gluon plasma and fluid/gravity duality.

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Linear resistivity from non-abelian black holes

Cited by 13 publications

References 50 publications

Linear-T resistivity at high temperature

Linear-T resistivity at high temperature

Holographic phase transitions from higgsed, non abelian charged black holes

A new approach to non-Abelian hydrodynamics

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