Holographic non-Fermi liquid fixed points

Abstract

Techniques arising from string theory can be used to study assemblies of strongly-interacting fermions. Via this `holographic duality', various strongly-coupled many body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared fixed point theory which is represented by an AdS_2 region in the dual gravitational description. Here we describe in detail the gravity calculation of this IR correlation function. This article is a contribution to a special issue of Phil. Trans. A on the normal state of the cuprates; as such, we also provide some review and context.

28 pages, many figures

References in corpus (25)

• Building an AdS/CFT superconductor
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Flux Compactification
• Lectures on Holographic Superfluidity and Superconductivity
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Holographic metals and the fractionalized Fermi liquid
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Introduction to Holographic Superconductors
• Real-time response in AdS/CFT with application to spinors
• Semi-Holographic Fermi Liquids
• Electron stars for holographic metallic criticality
• Physics of String Flux Compactifications
• Quantum phase transitions in holographic models of magnetism and superconductors
• Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm
• Central Charge for AdS_2 Quantum Gravity
• Photoemission "experiments" on holographic superconductors
• Quantum criticality and black holes
• Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
• Holographic Fermi arcs and a d-wave gap
• Strange metals and the AdS/CFT correspondence
• A controlled expansion for certain non-Fermi liquid metals
• Fermion correlators in non-abelian holographic superconductors
• Hidden Charge 2e Boson in Doped Mott Insulators: Field Theory of Mottness
• Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators

Cited by in corpus (53)

• Bekenstein-Hawking Entropy and Strange Metals
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Locally critical umklapp scattering and holography
• Entropy production, viscosity bounds and bumpy black holes
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Vortices in holographic superfluids and superconductors as conformal defects
• Charge transport by holographic Fermi surfaces
• Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• A quantum electron star
• Pole-skipping points in 2D gravity and SYK model
• Isolated zeros destroy Fermi surface in holographic models with a lattice
• Charged Quantum Fields in AdS${}_2$
• Two-point Functions in a Holographic Kondo Model
• Holographic Spectral Functions with Momentum Relaxation
• Charged black holes in Horava gravity
• Fermi surface behavior in the ABJM M2-brane theory
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Boomerang RG flows in M-theory with intermediate scaling
• Spinor Particle Creation in Near Extremal Reissner-Nordstrom Black Holes
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices
• Thermodynamics and transport of holographic nodal line semimetals
• Minding the Gap in N=4 Super-Yang-Mills
• Mott transition with Holographic Spectral function
• Holographic Kondo and Fano Resonances
• Holographic Brownian motion at finite density
• Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
• Schwarzian correction to quantum correlation in SYK model
• Hidden horizons in non-relativistic AdS/CFT
• Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Studying the holographic Fermi surface in the scalar induced anisotropic background
• Chiral 2D "Strange Metals" from N = 4 SYM
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Strange metal crossover in the doped holographic superconductor
• Topological Non-Fermi Liquid
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Pair production from Reissner-Nordström-anti-de Sitter black holes
• Semi-local Quantum Criticality and the Instability of Extremal Planar Horizons
• Fermionic spectral functions in backreacting p-wave superconductors at finite temperature
• Doped holographic fermionic system
• Holographic Fermi Liquids in a Spontaneously Generated Lattice
• Transport in a One-Dimensional Hyperconductor
• Thermal Product Formula for Shear Modes
• Holographic Lieb lattice and gapping its Dirac band
• Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models
• Recurrence Relations for Finite-Temperature Correlators via AdS${}_2$/CFT${}_1$
• Evolution of holographic Fermi surface from non-minimal couplings
• Holographic mean field theory and Kondo lattice