Particle-hole instability in the holography
arXiv:1006.4789
Abstract
We show that particle-hole pairing is realized in the background of a charged black hole in magnetic field. The pairing instability occurs for sufficiently large fermion charges, which correspond to the Fermi liquid regime. The critical temperature for Fermi liquids is proportinal to the magnetic field and vanishes as we approach the non-Fermi liquid state. The pairing order parameter leads to a relative shift of the Fermi surfaces corresponding to the bulk fermions with spin up and down. The value of the shift in Fermi momentum and the critical temperature are proportional to the effective density of states at the Fermi surface. Our one-loop calculations provide a dual description of the magnetic catalysis for the lowest Landau level in graphene. This analyses may be relevant for the antiferromagnetic behavior in the cuprate superconductors and for the chiral spirals in the chiral magnetic effect. We also discuss thermodynamic and transport properties of a system at the boundary at zero magnetic field. The scaling behavior of the specific heat is for Fermi liquid and for non-Fermi liquid, while the behavior of the DC conductivity is the same in both cases. While it can be difficult to extract transport and hydrodynamic from the lattice, the approach provides a robust frame for nonperturbative calculation of these properties.
56 pages, 7 figures, this work was reported at the workshop "P- and CP-odd Effects in Hot and Dense Matter", BNL, April 26-30, 2010
References in corpus (26)
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Breaking an Abelian gauge symmetry near a black hole horizon
- String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Non-Fermi liquids from holography
- Towards strange metallic holography
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Wave Propagation in Gravitational Systems: Late Time Behavior
- Real-time response in AdS/CFT with application to spinors
- Quarkyonic Chiral Spirals
- Competing order and nature of the pairing state in the iron pnictides
- Semi-Holographic Fermi Liquids
- An Analytic Holographic Superconductor
- Quantum phase transitions in holographic models of magnetism and superconductors
- Quantum oscillations and black hole ringing
- Effect of color superconductivity on the mass and radius of a quark star
- Chiral Magnetic Spiral
- Phase diagram of dense neutral three-flavor quark matter
- From black holes to strange metals
- Transport coefficients and ladder summation in hot gauge theories
- Fermion correlators in non-abelian holographic superconductors
- Cooper pairing near charged black holes
- Toward theory of quantum Hall effect in graphene
- A quantum kinetic equation for Fermi-systems including three-body correlations