Pseudogap and time reversal breaking in a holographic superconductor

Roberts, Matthew M.; Hartnoll, Sean A.

doi:10.1088/1126-6708/2008/08/035

Cited by 123 publications

(151 citation statements)

References 45 publications

(92 reference statements)

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“…It was also numerically shown that the scalar field condensation occurs below a critical temperature under the presence of an external magnetic field [8,9,10]. Quite recently, general properties of p-wave superconductors were investigated by Gubser and Pufu [11] and independently by Roberts and Hartnoll [12] in a model of a non-Abelian gauge field in the background of AdS 4 -Schwarzschild black hole.…”

Section: Introductionmentioning

confidence: 99%

Characteristic length of an AdS/CFT superconductor

2008

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We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601], which is constructed from a condensate of a charged scalar field in AdS4-Schwarzschild background. By analytically studying the perturbation of the gravitational system near the critical temperature Tc, we obtain the superconducting coherence length proportional to 1/ p 1 − T /Tc via AdS/CFT correspondence. By adding a small external homogeneous magnetic field to the system, we find that a stationary diamagnetic current proportional to the square of the order parameter is induced by the magnetic field. These results agree with Ginzburg-Landau theory and strongly support the idea that a superconductor can be described by a charged scalar field on a black hole via AdS/CFT duality.

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Section: Introductionmentioning

confidence: 99%

Characteristic length of an AdS/CFT superconductor

2008

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“…We have found this kind of behavior in our system in the anisotropic case, finding condensed solutions and constructing the phase diagram. Second, we compute free energies and find that for any set of values of the free parameters that determines the solutions, the anisotropic phase is energetically favored over the isotropic phase, as conjectured in other contexts [29][30][31]. Third, we analyze the zero temperature limit, case that had not been addressed before; for low enough gravitational coupling we find solutions which spontaneously break the U(1) symmetry and have zero entropy, and so describe the true ground state of the system.…”

Section: Jhep07(2015)172mentioning

confidence: 80%

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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“…Our discussion of the time-reversal breaking holographic superconductor [20] follows the conventions of [25]. Let us consider the following action:…”

Section: Setup and Solutionsmentioning

confidence: 99%

Chiral edge currents in a holographic Josephson junction

Rozali

Vincart-Emard

2014

J. High Energ. Phys.

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We discuss the Josephson effect and the appearance of dissipationless edge currents in a holographic Josephson junction configuration involving a chiral, time-reversal breaking, superconductor in 2+1 dimensions. Such a superconductor is expected to be topological, thereby supporting topologically protected gapless Majorana-Weyl edge modes. Such modes can manifest themselves in chiral dissipationless edge currents, which we exhibit and investigate in the context of our construction. The physics of the Josephson current itself, though expected to be unconventional in some non-equilibrium settings, is shown to be conventional in our setup which takes place in thermal equilibrium. We comment on various ways in which the expected Majorana nature of the edge excitations, and relatedly the unconventional nature of topological Josephson junctions, can be verified in the holographic context.

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Pseudogap and time reversal breaking in a holographic superconductor

Cited by 123 publications

References 45 publications

Characteristic length of an AdS/CFT superconductor

Characteristic length of an AdS/CFT superconductor

Holographic phase transitions from higgsed, non abelian charged black holes

Chiral edge currents in a holographic Josephson junction

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