A Holographic model for Non-Relativistic Superconductor

Abstract

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational theory can provide a non-relativistic holographical dual description of a superconductor. There is also a critical temperature like the relativistic case, below which a charged condensation field appears by a second order phase transition and the (DC) conductivity becomes infinite. We also calculated the frequency dependent conductivity.

12 pages, 5 figures, non-relativistic parameter dependence of critical temperature was added

References in corpus (11)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Holographic Superconductors with Various Condensates
• Quantum critical transport, duality, and M-theory
• Hall conductivity from dyonic black holes
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Impure AdS/CFT
• String Theory and Quantum Chromodynamics
• Towards a Novel no-hair Theorem for Black Holes