Fermions on Lifshitz Background
arXiv:1201.1764 · doi:10.1103/PhysRevD.86.026002
Abstract
We study a non-relativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z = 2. With a natural boundary condition, respecting the symmetries of the model, the resultant retarded Green's function exhibits a number of interesting features including a flat band. We also study the finite temperature and finite chemical potential cases where the geometry is replaced by Lifshitz black hole solutions.
27 pages, 11 figures, V3: Refs. added, Charged fermions added. V4: Gauge field (in Sec. 4) corrected (with no change in results)
References in corpus (14)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Non-relativistic holography
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Real-time response in AdS/CFT with application to spinors
- Black holes in asymptotically Lifshitz spacetime
- Real-time gauge/gravity duality and ingoing boundary conditions
- Holography and ARPES sum-rules
- A Holographic Flat Band
- Holographic fermions in charged Lifshitz theory
- Holographic non-relativistic fermionic fixed point by the charged dilatonic black hole
- Holographic non-relativistic fermionic fixed point and bulk dipole coupling
- Holographic Renormalization for Fermions in Real Time
Cited by in corpus (27)
- Lifshitz holography
- Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
- Holographic fermions in charged Lifshitz theory
- Fluctuation and Dissipation at a Quantum Critical Point
- Thermal Correlators in Holographic Models with Lifshitz scaling
- Holographic fermions in charged dilaton black branes
- Dynamic gap from holographic fermions in charged dilaton black branes
- Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole
- Holographic fermions with running chemical potential and dipole coupling
- Dipole Coupling Effect of Holographic Fermion in Charged Dilatonic Gravity
- Dynamically generated gap from holography in the charged black brane with hyperscaling violation
- Scalar field perturbations of a Lifshitz black hole in conformal gravity in three dimensions
- Mimic the optical conductivity in disordered solids via gauge/gravity duality
- Holographic fermions in asymptotically scaling geometries with hyperscaling violation
- Towards holographic flat bands
- Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
- Hidden horizons in non-relativistic AdS/CFT
- Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
- Holographic fermionic spectrum from Born-Infeld AdS black hole
- Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
- Scalar Boundary Conditions in Hyperscaling Violating Geometry
- Non-Local Deformation of a Supersymmetric Field Theory
- Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
- Environment-induced uncertainties on moving mirrors in quantum critical theories via holography
- Doped holographic fermionic system
- Holographic quantum critical points in Lifshitz space-time
- Holographic fermionic spectrum with Weyl correction