Minding the Gap in N=4 Super-Yang-Mills
arXiv:1312.7347 · doi:10.1103/PhysRevD.91.046011
Abstract
We analyze fermionic response in the geometry holographically dual to zero-temperature N=4 Super-Yang-Mills theory with two equal nonvanishing chemical potentials, which is characterized by a singular horizon and zero ground state entropy. We show that fermionic fluctuations are completely stable within a gap in energy around a Fermi surface singularity, beyond which non-Fermi liquid behavior returns. This gap disappears abruptly once the final charge is turned on, and is associated to a discontinuity in the corresponding chemical potential. We also show that the singular near-horizon geometry lifts to a smooth AdS_3 x R^3, and interpret the gap as a region where the quasiparticle momentum is spacelike in six dimensions due to the momentum component in the Kaluza-Klein direction, corresponding to the final charge.
50 pages, 9 figures, LaTeX
References in corpus (14)
- Quantum Criticality in Heavy Fermion Metals
- Effective Holographic Theories for low-temperature condensed matter systems
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Holographic duality and the resistivity of strange metals
- Electron stars for holographic metallic criticality
- Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
- Fermionic Operator Mixing in Holographic p-wave Superfluids
- Fermi surfaces and gauge-gravity duality
- Dynamical Gap and Cuprate-like Physics from Holography
- From black holes to strange metals
- Strange Metals in One Spatial Dimension
- On Holographic Entanglement Entropy of Charged Matter
- Fluctuations in finite density holographic quantum liquids
- AdS/CFT and Landau Fermi liquids
Cited by in corpus (10)
- Holographic quantum matter
- Fermi surface behavior in the ABJM M2-brane theory
- Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling
- Holographic Fermi surfaces at finite temperature in top-down constructions
- Gapped Fermions in Top-down Holographic Superconductors
- Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry
- Encoded information of mixed correlations: the views from one dimension higher
- Confinement/deconfinement transition from symmetry breaking in gauge/gravity duality
- Holographic thermal correlators from recursions
- Fermionic spectrum from a domain wall in five dimensions