Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
An Analytic Holographic Superconductor
8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1 dimensional field theory, the phase transition occurs when a scalar operator of scaling dimension two gets a vacuum expectation value. We calculate current-current correlation functions along with the speed of second sound near the critical temperature. We also make some remarks about critical exponents. An analytic treatment is possible because an underlying Heun equation describing the zero mode of the phase transition has a polynomial solution. Amusingly, the treatment here may generalize for an order parameter with any integer spin, and we propose a Lagrangian for a spin two holographic superconductor.
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The nonlinear coefficient λ controls the inverse periodicity of Kasner exponent oscillations in the interior of holographic black holes near the superfluid critical point.
In a holographic superfluid, the speed of a topological-defect-driven invasion front has a maximum at a particular quench endpoint, which the authors propose as a new nonequilibrium supercritical crossover line.
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
Numerical holographic study finds nonlinear electrodynamics suppresses s and p condensates differently, induces spontaneous charge accumulation outside the horizon, and modifies optical conductivity with a minimum in the imaginary part.
Proposes a holographic SNS junction in Einstein-Maxwell-charged-scalar AdS4 theory where the near-extremal RN-AdS throat supplies an infrared scaling mechanism for the Josephson critical current and phase stiffness after ordinary spatial suppression is removed.
Prior works on higher-derivative corrections to holographic superconductors may employ an incorrect AdS/CFT dictionary, so that the direction of change in spontaneous condensate depends on the specific model with no universal rule.
citing papers explorer
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Phase separation seeded by Z2 and U(1) topological defects from holography
Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
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Interior structure of black holes with nonlinear terms
The nonlinear coefficient λ controls the inverse periodicity of Kasner exponent oscillations in the interior of holographic black holes near the superfluid critical point.
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Nonequilibrium crossover in the supercritical region from quench dynamics
In a holographic superfluid, the speed of a topological-defect-driven invasion front has a maximum at a particular quench endpoint, which the authors propose as a new nonequilibrium supercritical crossover line.
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Effective Field Theory for Superconducting Phase Transitions
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
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Holographic s+p superconductors with nonlinear electrodynamics
Numerical holographic study finds nonlinear electrodynamics suppresses s and p condensates differently, induces spontaneous charge accumulation outside the horizon, and modifies optical conductivity with a minimum in the imaginary part.
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Near extremal RN-AdS control of holographic Josephson transport
Proposes a holographic SNS junction in Einstein-Maxwell-charged-scalar AdS4 theory where the near-extremal RN-AdS throat supplies an infrared scaling mechanism for the Josephson critical current and phase stiffness after ordinary spatial suppression is removed.
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Comments on higher-derivative corrections in the AdS/CFT duality
Prior works on higher-derivative corrections to holographic superconductors may employ an incorrect AdS/CFT dictionary, so that the direction of change in spontaneous condensate depends on the specific model with no universal rule.
- The dual Ginzburg-Landau theory for a holographic superfluid/superconductor: Critical dynamics