Holographic p-wave Superconductor with Disorder
arXiv:1407.7526 · doi:10.1007/JHEP07(2015)046
Abstract
We implement the effects of disorder on a holographic p-wave superconductor by introducing a random chemical potential which defines the local energy of the charge carriers. Since there are various possibilities for the orientation of the vector order parameter, we explore the behavior of the condensate in the parallel and perpendicular directions to the introduced disorder. We clarify the nature of various branches representing competing solutions and construct the disordered phase diagram. We find that moderate disorder enhances superconductivity as determined by the value of the condensate. Though we mostly focus on uncorrelated noise, we also consider a disorder characterized by its spectral properties and study in detail its influence on the spectral properties of the condensate and charge density. We find fairly universal responses of the resulting power spectra characterized by linear functions of the disorder power spectrum.
arXiv comment30 pages, 12 figures. v2: References added, typos corrected. v3: Extended discussion of the characteristics of the noise, new sections focused on uncorrelated noise. v4: minor typos corrected, JHEP version
References in corpus (33)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- The many-body localization phase transition
- Holographic Superconductors
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Holographic duality with a view toward many-body physics
- The gravity dual of a p-wave superconductor
- Ergodicity breaking in a model showing many-body localization
- Colorful horizons with charge in anti-de Sitter space
- Locally critical umklapp scattering and holography
- Holographic Lattices Give the Graviton a Mass
- On Holographic p-wave Superfluids with Back-reaction
- Thermo-electric transport in gauge/gravity models with momentum dissipation
- Condensed matter and AdS/CFT
- Hard-gapped Holographic Superconductors
- Disordered horizons: Holography of randomly disordered fixed points
- Disordered Systems and the Replica Method in AdS/CFT
- Analytic study of properties of holographic p-wave superconductors
- Backreacting p-wave Superconductors
- On the structure of typical states of a disordered Richardson model and many-body localization
- Striped phases in the holographic insulator/superconductor transition
- Holographic Superfluids and the Landau Criterion
- Holographic Conductivity in Disordered Systems
- Disorder-Induced Phase Control in Superfluid Fermi-Bose Mixtures
- Disorder-induced superfluidity
- Holographic droplets in p-wave insulator/superconductor transition
- Linear Resistivity from Non-Abelian Black Holes
- On universality of charge transport in AdS/CFT
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- Emergent scale invariance of disordered horizons
- Holographic sliding stripes
- Disorder in Large-N Theories
- A smeared quantum phase transition in disordered holography
- Kasner interiors from analytic hairy black holes
- Perturbatively charged holographic disorder
- The Holographic Disorder-Driven Superconductor-Metal Transition
- Thermal conductivity at a disordered quantum critical point
- On the stability of soliton and hairy black hole solutions of Einstein-Yang-Mills theory with a negative cosmological constant
- On the stability of dyons and dyonic black holes in Einstein-Yang-Mills theory
- Conductivity bound from dirty black holes
- Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
- Coherence effects in disordered geometries with a field-theory dual
- Disorder-dependent superconducting pairing symmetry in doped graphene
- Noisy Branes
- Disorder in AdS/CFT