Toward a Holographic Model of Superconducting Fermions
arXiv:0811.0198 · doi:10.1088/1126-6708/2009/01/074
Abstract
We use the AdS/CFT correspondence to study N=4 supersymmetric SU(Nc) Yang-Mills theory, in the limits of large Nc and large 't Hooft coupling, coupled to a number Nf of massless hypermultiplet fields in the fundamental representation of the gauge group. We identify a U(1) subgroup of the R-symmetry under which the fermions in the hypermultiplet are charged but the scalars are not. All the hypermultiplet fields are also charged under a U(1) baryon number symmetry. We introduce an external magnetic field for the baryon number U(1), which triggers the spontaneous breaking of the U(1) R-symmetry, and we then introduce a chemical potential for the U(1) R-charge, producing a state with a nonzero density of the U(1) R-charge. The system should then exhibit superconductivity of the U(1) R-charge. The dual supergravity description is a number Nf of D7-branes in AdS5 x S5 with angular momentum on the S5 and a worldvolume magnetic field. We study the zero-temperature thermodynamics of the system, and find that for sufficiently large magnetic field the system prefers to be in the symmetry-broken phase. For smaller magnetic fields we find a discontinuous free energy, indicating that our gravitational setup does not capture all equilibrium states of the field theory.
32 pages, 22 eps files in 9 figures
References in corpus (21)
- Building an AdS/CFT superconductor
- Holographic Superconductors with Various Condensates
- Metallic AdS/CFT
- Quantum critical transport, duality, and M-theory
- Holographic Phase Transitions with Fundamental Matter
- Colorful horizons with charge in anti-de Sitter space
- Holographic spectral functions and diffusion constants for fundamental matter
- Superconductivity from gauge/gravity duality with flavor
- AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
- Flavoured Large N Gauge Theory in an External Magnetic Field
- Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
- Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
- Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory
- Gravity Dual of a Quantum Hall Plateau Transition
- Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
- A Topology-Changing Phase Transition and the Dynamics of Flavour
- Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field
- Fragmentation of Spinning Branes
- Spinning Dragging Strings
- Universality in the Large N_c Dynamics of Flavour: Thermal Vs. Quantum Induced Phase Transitions
- R-Charge Chemical Potential in a 2+1 Dimensional System
Cited by in corpus (6)
- Hydrodynamics of Holographic Superconductors
- Flavor Superconductivity from Gauge/Gravity Duality
- Holographic Responses of Fermion Matter
- The Stress-Energy Tensor of Flavor Fields from AdS/CFT
- Holographic Flavor Transport in Arbitrary Constant Background Fields
- Three Roads to Probe-Brane Superconductivity