Holographic Experiments on Defects

Abstract

Using the AdS/CFT correspondence, we study the anisotropic charge transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We focus on the cases of a finite external background magnetic field, finite net charge density and finite mass and their combinations. In this context, we also discuss the limitations due to operator mixing that appears in a few situations and that we ignore in our analysis. At high frequencies, we discover a spectrum of quasi-particle resonances due to the magnetic field and finite density and at small frequencies, we perform a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper. We further study the hydrodynamic regime and the relaxation properties, from which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we furthermore extend earlier results from the literature to find an interesting self-duality under a transformation of the conductivity and the exchange of density and magnetic field.

76 pages, 45 figures (jpg and pdf), IJMPA style; section on operator mixing and references added, typos fixed, final version published in IJMPA

References in corpus (10)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Quantum critical transport, duality, and M-theory
• Holographic Phase Transitions with Fundamental Matter
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Impure AdS/CFT
• Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
• String Theory on Thin Semiconductors: Holographic Realization of Fermi Points and Surfaces
• Mesons and Higgs branch in defect theories

Cited by in corpus (7)

• Conformal Phase Transitions at Weak and Strong Coupling
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model
• A strongly coupled anyon material
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Three Roads to Probe-Brane Superconductivity
• Physical Response Functions of Strongly Coupled Massive Quantum Liquids