Strange metals and the AdS/CFT correspondence

Abstract

I begin with a review of quantum impurity models in condensed matter physics, in which a localized spin degree of freedom is coupled to an interacting conformal field theory in d = 2 spatial dimensions. Their properties are similar to those of supersymmetric generalizations which can be solved by the AdS/CFT correspondence; the low energy limit of the latter models is described by a AdS2 geometry. Then I turn to Kondo lattice models, which can be described by a mean- field theory obtained by a mapping to a quantum impurity coupled to a self-consistent environment. Such a theory yields a 'fractionalized Fermi liquid' phase of conduction electrons coupled to a critical spin liquid state, and is an attractive mean-field theory of strange metals. The recent holographic description of strange metals with a AdS2 x R2 geometry is argued to be related to such mean-field solutions of Kondo lattice models.

19 pages, 4 figures; Plenary talk at Statphys24, Cairns, Australia, July 2010; (v2) added refs; (v3) more refs

References in corpus (49)

• Large N Field Theories, String Theory and Gravity
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Building an AdS/CFT superconductor
• "Deconfined" quantum critical points
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Quantum Criticality in Heavy Fermion Metals
• Breaking an Abelian gauge symmetry near a black hole horizon
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Fractionalized Fermi liquids
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Towards strange metallic holography
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Quantum critical transport, duality, and M-theory
• Wilson Loops in the Large N Limit at Finite Temperature
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Real-time response in AdS/CFT with application to spinors
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Quantum Impurity in a Nearly Critical Two Dimensional Antiferromagnet
• Spatial Correlations in Dynamical Mean Field Theory
• Quantum phase transitions in holographic models of magnetism and superconductors
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• Heavy-fermion and spin-liquid behavior in a Kondo lattice with magnetic frustration
• Critical local moment fluctuations in the Bose-Fermi Kondo model
• Quantum oscillations and black hole ringing
• Effective action approach to strongly correlated fermion systems
• Spin-Flavor Separation and Non-Fermi Liquid Behavior in the Multichannel Kondo Problem: A Large N Approach
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Ground states of a frustrated quantum spin chain with long-range interactions
• Holographic Lattices, Dimers, and Glasses
• Quantum criticality and black holes
• Mott Transition in a Valence Bond Solid Insulator with a Triangular Lattice
• Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
• Theory of quantum impurities in spin liquids
• Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
• Quantum impurity in an antiferromagnet: non-linear sigma model theory
• Susceptibility of the 2D S=1/2 Heisenberg antiferromagnet with an impurity
• Impurity induced spin texture in quantum critical 2D antiferromagnets
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Static hole in a critical antiferromagnet: field-theoretic renormalization group
• Spin orthogonality catastrophe in two-dimensional antiferromagnets and superconductors
• Impurity effects at finite temperature in the two-dimensional S=1/2 Heisenberg antiferromagnet
• Dynamical Mean-Field Theory of Resonating Valence Bond Antiferromagnets
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Edge and impurity response in two-dimensional quantum antiferromagnets
• Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets

Cited by in corpus (51)

• The Spectrum in the Sachdev-Ye-Kitaev Model
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• What can gauge-gravity duality teach us about condensed matter physics?
• Holographic Fermi Surfaces and Entanglement Entropy
• Numerical study of fermion and boson models with infinite-range random interactions
• The Bulk Dual of SYK: Cubic Couplings
• Viscosity and scale invariance in the unitary Fermi gas
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Theory of a Planckian metal
• Three Dimensional View of the SYK/AdS Duality
• Magnetotransport in a model of a disordered strange metal
• The Spectrum of Excitations of Holographic Wilson Loops
• Fermi surfaces and gauge-gravity duality
• Holographic non-Fermi liquid fixed points
• Sr3Ru2O7: Thermodynamics of Phase Formation in a Quantum Critical Metal
• One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
• Holographic metals at finite temperature
• A Holographic Model of the Kondo Effect
• Holography of charged dilatonic black branes at finite temperature
• A maximally supersymmetric Kondo model
• Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice
• Universal linear in temperature resistivity from black hole superradiance
• Comb tensor networks
• The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model
• Magnetic field in holographic superconductor with dark matter sector
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• Similarity between the kinematic viscosity of quark-gluon plasma and liquids at the viscosity minimum
• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
• Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon
• A defect action for Wilson loops
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Models of phase stability in Jackiw-Teitelboim gravity
• The thermal bootstrap for the critical O(N) model
• SYK/AdS duality with Yang-Baxter deformations
• Diving inside holographic metals
• Demystifying the Holographic Mystique
• Conformal line defects at finite temperature
• SYK Model with global symmetries in the double scaling limit
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Statistical Mechanics of Exponentially Many Low Lying States
• On the applicability of holography in thermodynamic equilibrium
• Holographic mean field theory and Kondo lattice
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Searching for emergent spacetime in spin glasses
• Holographic superfluid sound modes with bulk acoustic black hole