Schrodinger Fermi Liquids

Abstract

A class of strongly interacting many-body fermionic systems in 2+1D non-relativistic conformal field theory is examined via the gauge-gravity duality correspondence. The 5D charged black hole with asymptotic Schrodinger isometry in the bulk gravity side introduces parameters of background density and finite particle number into the boundary field theory. We propose the holographic dictionary, and realize a quantum phase transition of this fermionic liquid with fixed particle number by tuning the background density $\beta$ at zero temperature. On the larger $\beta$ side, we find the signal of a sharp quasiparticle pole on the spectral function A(k,w), indicating a well-defined Fermi surface. On the smaller $\beta$ side, we find only a hump with no sharp peak for A(k,w), indicating the disappearance of Fermi surface. The dynamical exponent $z$ of quasiparticle dispersion goes from being Fermi-liquid-like $z\simeq 1$ scaling at larger $\beta$ to a non-Fermi-liquid scaling $z\simeq 3/2$ at smaller $\beta$. By comparing the structure of Green's function with Landau Fermi liquid theory and Senthil's scaling ansatz, we further investigate the behavior of this quantum phase transition.

26 pages, many figures of spectral functions A(k,w). v2: add a new Fig, several clarifications, and discussions about holographic renormalization. Program code shared via a URL link in the manuscript

References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Heavy Fermions and Quantum Phase Transitions
• Nonrelativistic conformal field theories
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Real-time response in AdS/CFT with application to spinors
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• Electron stars for holographic metallic criticality
• Holography for Schrodinger backgrounds
• Fermi surfaces and gauge-gravity duality
• Electron star birth: A continuous phase transition at nonzero density
• Black holes and non-relativistic quantum systems
• Sum Rules from an Extra Dimension
• The particle number in Galilean holography
• Non-relativistic metrics with extremal limits
• The Spin of Holographic Electrons at Nonzero Density and Temperature
• Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics
• Ideal gas matching for thermal Galilean holography
• Non-relativistic metrics from back-reacting fermions

Cited by in corpus (6)

• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• Particle Number and 3D Schroedinger Holography
• Holographic fermionic spectrum from Born-Infeld AdS black hole
• Holographic charge diffusion in non relativistic branes
• Doped holographic fermionic system
• Holographic fermionic spectrum with Weyl correction