Quantum Criticality

Abstract

This is a review of the basic theoretical ideas of quantum criticality, and of their connection to numerous experiments on correlated electron compounds. A shortened, modified, and edited version appeared in Physics Today. This arxiv version has additional citations to the literature.

17 pages, 7 figures; (v2) added refs

References in corpus (14)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Progress and perspectives on the electron-doped cuprates
• Onset of antiferromagnetism in heavy fermion metals
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Scattering and Pairing in Cuprate Superconductors
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite

Cited by in corpus (230)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Lectures on hydrodynamic fluctuations in relativistic theories
• Hydrodynamics of electrons in graphene
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• What can gauge-gravity duality teach us about condensed matter physics?
• Locally critical umklapp scattering and holography
• Pressure induced superconductivity on the border of magnetic order in MnP
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Planckian Dissipation in Metals
• Quantum critical regime in a quadratically-driven nonlinear photonic lattice
• Memory matrix theory of magnetotransport in strange metals
• The Strange Metal State of the Electron-Doped Cuprates
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb${}_2$O${}_6$
• Coherence susceptibility as a probe of quantum phase transitions
• Incoherent transport in clean quantum critical metals
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• An upper bound on transport
• Magnetotransport in a model of a disordered strange metal
• Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
• Coherent and dissipative dynamics at quantum phase transitions
• Cascade of phase transitions in the vicinity of a quantum critical point
• Bad Metals from Fluctuating Density Waves
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Charge diffusion and the butterfly effect in striped holographic matter
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet Ca${}_2$RuO${}_4$
• Quantum criticality in the spin-$1/2$ Heisenberg chain system copper pyrazine dinitrate
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Hidden $T$-Linear Scattering Rate in Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$ Revealed by Optical Spectroscopy
• Dynamical quantum phase transitions in discrete time crystals
• Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Quenched nematic criticality separating two superconducting domes in an iron-based superconductor under pressure
• Diffusivities bounds and chaos in holographic Horndeski theories
• Lifshitz Hydrodynamics
• Multipartite Entanglement at Finite Temperature
• Approaching quantum criticality in a partially geometrically frustrated heavy-fermion metal
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• The Pauli exclusion principle at strong coupling: Holographic matter and momentum space
• Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
• Anomalous critical fields in quantum critical superconductors
• The Phase Diagram in Electron-Doped LCCO
• Quantum-critical spin dynamics in quasi-one-dimensional antiferromagnets
• Microscopic coexistence of antiferromagnetic order and superconductivity in Ba${}_{0.77}$K${}_{0.23}$Fe${}_2$As${}_2$
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Observing the origin of superconductivity in quantum critical metals
• Counterdiabatic driving of the quantum Ising model
• Unbalanced Holographic Superconductors and Spintronics
• Critical Casimir Effect: Exact Results
• Universality and scaling in a charge two-channel Kondo device
• Theory of the Strange Metal Sr${}_3$Ru${}_2$O${}_7$
• Correlation between scale-invariant normal state resistivity and superconductivity in an electron-doped cuprate
• Spin-Fluctuation-Induced Non-Fermi-Liquid Behavior with suppressed superconductivity in LiFe${}_{1-x}$Co${}_x$As
• Pure nematic quantum critical point accompanied by a superconducting dome
• Superconductivity at the onset of spin-density-wave order in a metal
• Bad-Metallic Behavior of Doped Mott Insulators
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Evolution of transport properties of BaFe2-xRuxAs2 in a wide range of isovalent Ru substitution
• Unconventional Quantum Critical Points
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Optical conductivity of iron-based superconductors
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Towards a Holographic Realization of Homes' Law
• Quantum critical charge response from higher derivatives: is more different?
• Normal state spin dynamics in the iron-pnictide superconductors BaFe2(As1-xPx)2 and Ba(Fe1-xCox)2As2 probed with NMR measurements
• Fermi Surface reconstruction and anomalous low temperature resistivity in electron-doped La2-xCexCuO4
• Width of the longitudinal magnon in the vicinity of the O(3) quantum critical point
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Lifshitz Scale Anomalies
• Universal linear in temperature resistivity from black hole superradiance
• Sound waves and resonances in electron-hole plasma
• Resistivity bound for hydrodynamic bad metals
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• Quantum phase transitions in Dirac fermion systems
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Unconventional Mott Transition in KxFe2-ySe2
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Adiabatic physics of an exchange-coupled spin-dimer system: magnetocaloric effect, zero-point fluctuations, and possible two-dimensional universal behavior
• Pressure-induced quantum critical and multicritical points in a frustrated spin liquid
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Nucleation in finite topological systems during continuous metastable quantum phase transitions
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• A quantum phase transition in the one-dimensional water chain
• Variational autoencoder reconstruction of complex many-body physics
• One-dimensional Quantum Spin Dynamics of Bethe String States
• Aspects of Non-Relativistic Quantum Field Theories
• Probing a topological quantum critical point in semiconductor-superconductor heterostructures
• Hedgehog Spin-vortex Crystal Antiferromagnetic Quantum Criticality in CaK(Fe1-xNix)4As4 Revealed by NMR
• Magnetic field-tuned quantum criticality in a Kondo insulator
• Thermal-transport studies of Two-dimensional Quantum Spin Liquids
• Maltese Cross anisotropy in Ho0.8Lu0.2B12 antiferromagnetic metal with dynamic charge stripes
• Holographic incoherent transport in Einstein-Maxwell-dilaton Gravity
• Iron-based superconductors: teenage, complex, challenging
• Combining micro- and macroscopic probes to untangle single-ion and spatial exchange anisotropies in a $S=1$ quantum antiferromagnet
• Numerical studies of ground state fidelity of the Bose-Hubbard model
• Nuclear magnetic resonance study of the magnetic-field-induced ordered phase in the NiCl2-4SC(NH2)2 compound
• Paramagnetic to ferromagnetic phase transition in lightly Fe-doped Cr${}_2$B
• Low-temperature ordered phases of the spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$
• Anomalous quantum criticality in the electron-doped cuprates
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Casimir force in the O(n -> infinity) model with free boundary conditions
• Ward Identity and Homes' Law in a Holographic Superconductor with Momentum Relaxation
• Suppression of indirect exchange and symmetry breaking in antiferromagnetic metal with dynamic charge stripes
• A Near-Ideal Molecule-Based Haldane Spin-Chain
• Inverse correlation between quasiparticle mass and Tc in a cuprate high-Tc superconductor
• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• Upper bound of the charge diffusion constant in holography
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Quantum critical response: from conformal perturbation theory to holography
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Temperature-linear Resistivity in Twisted Double Bilayer Graphene
• Locating quantum critical points with Kibble-Zurek quenches
• Scaling of geometric phase versus band structure in cluster-Ising models
• Spin dynamics in pressure-induced magnetically-ordered phases in PHCC
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Quantum critical scaling in the disordered itinerant ferromagnet UCo${}_{1-x}$Fe${}_x$Ge
• Lifshitz Superfluid Hydrodynamics
• Generalized dynamic scaling for quantum critical relaxation in imaginary time
• Comparing numerical methods for hydrodynamics in a one-dimensional lattice spin model
• Superconductivity from a melted insulator
• Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Holographic dissipation prefers the Landau over the Keldysh form
• Topological Phase Transitions in Line-nodal Superconductors
• Universal Finite Temperature Properties of a Three Dimensional Quantum Antiferromagnet in the Vicinity of a Quantum Critical Point
• Flipping of antiferromagnetic to superconducting states in pressurized quasi-one-dimensional manganese-based compounds
• Negative thermal expansion near the precipice of structural stability in open perovskites
• Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome
• Squeezed Ground States in a Spin-1 Bose-Einstein Condensate
• Checkerboard-type patterns of charge stripes in two-gap superconductor ZrB12
• Quantum XY criticality in a two-dimensional Bose gas near the Mott transition
• Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene
• Phase diagram of CeSb${}_2$ from magnetostriction and magnetization measurements: Evidence for ferrimagnetic and antiferromagnetic states
• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• Diffusivities bounds in the presence of Weyl corrections
• Quantum criticality of a Bose gas in an optical lattice near the Mott transition
• Dynamic Properties of Two-Dimensional Latticed Holographic System
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• Spin-orbital excitons and their potential condensation in pentavalent iridates
• The magnetic ground state of two isostructual polymeric quantum magnets, [Cu(HF${}_2$)(pyrazine)${}_2$]SbF${}_6$ and [Co(HF${}_2$)(pyrazine)${}_2$]SbF${}_6$, investigated with neutron powder diffraction
• A frustrated spin-1/2 Heisenberg antiferromagnet on a chevron-square lattice
• Reducing the strain required for ambient-pressure superconductivity in bilayer nickelates
• Nodal superconductivity and non-Fermi-liquid behavior in Ce2PdIn8 studied by 115In nuclear quadrupole resonance
• Deconfined criticality in bilayer graphene
• Quantum criticality of bosonic systems with the Lifshitz dispersion
• Entropy balance in holographic superconductors
• High-Pressure Phase Diagram of NdFeAsO${}_{0.9}$F${}_{0.1}$: Disappearance of superconductivity on the verge of ferromagnetism from nd moments
• Competing Bose-Glass physics with disorder-induced Bose-Einstein condensation in the doped $S=1$ antiferromagnet Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at high magnetic fields
• Renormalization group analysis of competition between distinct order parameters
• Quantum correlated cluster mean-field theory applied to the transverse Ising model
• Quantum Criticality in the 122 Iron Pnictide Superconductors Emerging from Orbital-Selective Mottness
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• Spin-1/2 $J_1$-$J_2$ Heisenberg model on a cross-striped square lattice
• Field-induced incommensurate ordering in the Heisenberg chains coupled by Ising interaction: Model for the ytterbium aluminum perovskite YbAlO${}_3$
• Critical and near critical phase behaviour and interplay between the thermodynamic Casimir and van der Waals forces in confined non-polar fluid medium with competing surface and substrate potentials
• Many-body energy invariant for $T$-linear resistivity
• Atomic-scale imaging of emergent order at a magnetic-field-induced Lifshitz transition
• Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
• Efficient neural-network based variational Monte Carlo scheme for direct optimization of excited energy states in frustrated quantum systems
• Inhomogeneous superconductivity in LuxZr1-xB12 dodecaborides with dynamic charge stripes
• Twist-tuned quantum criticality in moiré bilayer graphene
• Holographic model for antiferromagnetic quantum phase transition induced by magnetic field
• Magnetism of the antiferromagnetic spin-$\frac{3}{2}$ dimer compound CrVMoO${}_7$ having an antiferromagnetically ordered state
• Fingerprints of quantum criticality in locally resolved transport
• Linear-in-temperature conductance in two-dimensional electron fluids
• Conductivity bound from dirty black holes
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Holographic antiferromganetic quantum criticality and AdS${}_2$ scaling limit
• ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
• Magnetic phase diagram of the triangular antiferromagnetic $C{s}_{2}CuC{l}_{4-x}B{r}_x$ mixed system
• In-situ uniaxial pressure cell for X-ray and neutron scattering experiments
• Crossover from charge density wave stabilized antiferromagnetism to superconductivity in Nd${}_{1-x}$La${}_x$NiC${}_2$ compounds
• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Lattice vibration as a knob for novel quantum criticality: Emergence of supersymmetry from spin-lattice coupling
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Sketching phase diagrams using low-depth variational quantum algorithms
• Asymmetric phase diagram and dimensional crossover in a system of spin-1/2 dimers under applied hydrostatic pressure
• Quantum criticality in chains of planar rotors with dipolar interactions
• Violation of the Spin Statistics Theorem and the Bose-Einstein Condensation of Particles with Half Integer Spin
• Observation of non-Fermi liquid physics in a quantum critical metal via quantum loop topography
• Planckian Dissipation and non-Ginzburg-Landau Type Upper Critical Field in Bi2201
• Tomonaga-Luttinger liquid and quantum criticality in spin-1/2 antiferromagnetic Heisenberg chain C14H18CuN4O10 via Wilson ratio
• Swapping Floquet time crystal
• Learning quantum dissipation by the neural ordinary differential equation
• Engineering Holographic Superconductor Phase Diagrams
• Magnon Bose-Einstein Condensation and Superconductivity in a Frustrated Kondo Lattice
• Construction of spin models displaying quantum criticality from quantum field theory
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Critical spin-$\frac{1}{2}$ tetramer compound CuInVO${}_5$: Exploring the vicinity of two multimerized singlet states
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Excitonic ordering in strongly correlated spin crossover systems: induced magnetism and excitonic excitation spectrum
• Information theoretic measures for Lifshitz system
• Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
• Gapped dilatons in scale invariant superfluids
• Ultrafast Relaxation Dynamics of Spin-Density Wave Order in BaFe${}_2$As${}_2$ under High Pressures
• Rényi entropy of quantum anharmonic chain at non-zero temperature
• An effective framework for strange metallic transport
• Mixed system $C{s}_{3}C{u}_{3}C{l}_{8-x}B{r}_{x}OH$ with weakly connected Cu-triangles
• Total Moment Sum Rule for Magnets in the Vicinity of Quantum Critical Point
• Evidence from on-site atom number fluctuations for a quantum Berezinskii-Kosterlitz-Thouless transition in the one-dimensional Bose-Hubbard model
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$
• Towards Excitations and Dynamical Quantities in Correlated Lattices with Density Matrix Embedding Theory
• Exploring the exotic f states of prototype compounds CeSb and USb
• A holographic realization of correlation and mutual information
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Boost of critical current density near quantum critical points in FeSe-Based superconductors with two superconducting domes
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Testing density functional theory in a quantum Ising chain
• Renormalization formalism for superconducting phase transition with inner-Cooper-pair dynamics
• Impurity-induced magnetization in three dimensional antiferromagnet at quantum critical point
• BCS-BEC Crossover of Triplet Exciton Condensation in Bilayer Systems
• Broken Lifshitz invariance, spin waves and hydrodynamics
• On non-canonical degrees of freedom
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering