Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State

Abstract

We present the general theory of clean, two-dimensional, quantum Heisenberg antiferromagnets which are close to the zero-temperature quantum transition between ground states with and without long-range Néel order. For Néel-ordered states, `nearly-critical' means that the ground state spin-stiffness, ${\rho }_s$, satisfies ${\rho }_s\ll J$, where $J$ is the nearest-neighbor exchange constant, while `nearly-critical' quantum-disordered ground states have a energy-gap, $\Delta$, towards excitations with spin-1, which satisfies $\Delta \ll J$. Under these circumstances, we show that the wavevector/frequency-dependent uniform and staggered spin susceptibilities, and the specific heat, are completely universal functions of just three thermodynamic parameters. Explicit results for the universal scaling functions are obtained by a $1/N$ expansion on the $O(N)$ quantum non-linear sigma model, and by Monte Carlo simulations. These calculations lead to a variety of testable predictions for neutron scattering, NMR, and magnetization measurements. Our results are in good agreement with a number of numerical simulations and experiments on undoped and lightly-doped $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$.

81 pages, REVTEX 3.0, smaller updated version, YCTP-xxxx

References in corpus (10)

• Destructive quantum interference in spin tunneling problems
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Large N expansion for frustrated and doped quantum antiferromagnets
• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Finite size and temperature effects in the AF Heisenberg model
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Polylogarithm Identities in a Conformal Field Theory in Three Dimensions
• Theory of Nuclear Spin-Lattice Relaxation in La${}_2$CuO${}_4$ at High Temperatures
• Quantum Phases of the Shraiman-Siggia Model
• Universal Behavior of the Spin-Echo Decay Rate in La_2CuO_4

Cited by in corpus (286)

• "Deconfined" quantum critical points
• Continuous Quantum Phase Transitions
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Quantum Field Theory in the Large N Limit: a review
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Quantum magnetism and criticality
• Quantum Criticality: competing ground states in low dimensions
• Amplitude / Higgs Modes in Condensed Matter Physics
• Resonant x-ray scattering studies of charge order in cuprates
• Quantum Criticality
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Quantum critical transport, duality, and M-theory
• Quantum criticality with two length scales
• Spin-1/2 Kagome Like Lattice in Volborthite Cu3V2O7(OH)2-H2O
• F-Theorem without Supersymmetry
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Magnetic scaling in cuprate superconductors
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Landau theory of quantum spin glasses of rotors and Ising spins
• Theory of spin excitations in undoped and underdoped cuprates
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Onset of many-body chaos in the $O(N)$ model
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Criticality in correlated quantum matter
• Algebraic charge liquids
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets
• The resonance peak in cuprate superconductors
• The Conformal Bootstrap at Finite Temperature
• Measurement of magnetic excitations in the two-dimensional antiferromagnetic Sr2CuO2Cl2 insulator using resonant x-ray scattering:Evidence for extended interactions
• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb${}_2$O${}_6$
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• The Higgs mode in a two-dimensional superfluid
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Finite-size scaling at quantum transitions
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Universal conductivity and central charges
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Condensed matter and AdS/CFT
• Phase ordering kinetics of the Bose gas
• Phase Transition, Longitudinal Spin Fluctuations and Scaling in a Two-Layer Antiferromagnet
• Ground states of quantum antiferromagnets in two dimensions
• Coherent and dissipative dynamics at quantum phase transitions
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Pressure-Tuned Exchange Coupling of a Quantum Spin Liquid in the Molecular Triangular Lattice $\kappa$-(ET)${}_2$Ag${}_2$(CN)${}_3$
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• NMR relaxation in half-integer antiferromagnetic spin chains
• Finite temperature correlations in the one-dimensional quantum Ising model
• The critical O(N) CFT: Methods and conformal data
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Anomalous fluctuations in phases with a broken continuous symmetry
• Simulating excitation spectra with projected entangled-pair states
• Monte Carlo Study of the S=1/2 and S=1 Heisenberg Antiferromagnet on a Spatially Anisotropic Square Lattice
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Magnetic Phases of the 2D Hubbard Model at Low Doping
• Deconfined criticality critically defined
• Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
• The quasi-normal modes of quantum criticality
• Curie Temperature of Emerging Two-Dimensional Magnetic Structures
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Multipoint correlators of conformal field theories: implications for quantum critical transport
• Theory of quantum impurities in spin liquids
• Critical Spin Liquid versus Valence Bond Glass in Triangular Lattice Organic $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• Multi-critical point in a diluted bilayer Heisenberg quantum antiferromagnet
• Mutually attracting spin waves in the square-lattice quantum antiferromagnet
• Central mode and spin confinement near the boundary of the superconducting phase in YBa2Cu3O6.353 (Tc=18 K)
• Electronic and Magnetic Structure of LaCuO${}_{2.5}$
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• Low temperature broken symmetry phases of spiral antiferromagnets
• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Destruction of Neel order in the cuprates by electron-doping
• Quantum Phase Transition in the Frustrated Heisenberg Antiferromagnet
• The amplitude mode in three-dimensional dimerized antiferromagnets
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Universal, finite temperature, crossover functions of the quantum transition in the Ising chain in a transverse field
• The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures
• 1/N Expansion for Critical Exponents of Magnetic Phase Transitions in CP^{N-1} Model at 2<d<4
• Quantum Phase Transitions in Coupled Dimer Compounds
• Universal transport near a quantum critical Mott transition in two dimensions
• Techniques to measure quantum criticality in cold atoms
• Two-particle decay and quantum criticality in dimerized antiferromagnets
• Goldstone and Higgs modes of photons inside a cavity
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
• Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
• Nonordinary edge criticaliy of two-dimensional quantum critical magnets
• Neel order, quantum spin liquids and quantum criticality in two dimensions
• Direct calculation of the spin stiffness on square, triangular and cubic lattices using the coupled cluster method
• Temperature crossovers in cuprates
• Entanglement guided search for parent Hamiltonians
• Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors
• Semi-Lorentz invariance, unitarity, and critical exponents of symplectic fermion models
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• Wess-Zumino-Witten Terms in Graphene Landau Levels
• Spin-Charge Separation in the $t-J$ Model: Magnetic and Transport Anomalies
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Quantum criticality in the two-dimensional periodic Anderson model
• Velocity of excitations in ordered, disordered and critical antiferromagnets
• Critical behavior in the presence of an order-parameter pinning field
• Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• Quantum Phase Transition in a Heisenberg Antiferromagnet on a Square Lattice with Strong Plaquette Interactions
• Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets
• Quantum critical dynamics of a S = 1/2 antiferromagnetic Heisenberg chain studied by 13C-NMR spectroscopy
• Quantum phase transitions of correlated electrons in two dimensions
• Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
• Quantum critical scaling behavior of deconfined spinons
• Solving the puzzle of an unconventional phase transition for a 2d dimerized quantum Heisenberg model
• Information scrambling at finite temperature in local quantum systems
• Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model
• Spin Dynamics of a $J_1-J_2$ Antiferromagnet and its Implications for Iron Pnictides
• Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
• Heisenberg antiferromagnet on Cayley trees: low-energy spectrum and even/odd site imbalance
• Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential
• Universal thermal and electrical transport near the superconductor-metal quantum phase transition in nanowires
• Quantum noise spectroscopy of dynamical critical phenomena
• A square lattice algebraic spin liquid with SO(5) symmetry
• Dynamical response near quantum critical points
• Thermodynamics and magnetism in the 2D-3D crossover of the Hubbard model
• Nonlocal Kondo effect and quantum critical phase in heavy fermion metals
• Constraining quantum critical dynamics: 2+1D Ising model and beyond
• Spin-Peierls instability of the U(1) Dirac spin liquid
• On the confinement of spinons in the $C{P}^{M-1}$ model
• d_{x^2-y^2}-Wave Pairing Fluctuations and Pseudo Spin Gap in Two-Dimensional Electron Systems
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Quantum phase transitions in disordered dimerized quantum spin models and the Harris criterion
• Unconventional U(1) to ${\mathbf{Z}}_{\mathbf{q}}$ cross-over in quantum and classical $\mathbf{q}$-state clock models
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Resonant magnetic mode in superconducting 2-leg ladders
• Magnetic susceptibility anisotropies in a two-dimensional quantum Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Bond-Operator Mean Field Theory for the Bilayer Heisenberg Model
• Field dependence of the magnetic spectrum in anisotropic and Dzyaloshinskii-Moriya antiferromagnets: I. Theory
• Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
• Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet
• Interplay of frustration and magnetic field in the two-dimensional quantum antiferromagnet Cu(tn)Cl${}_2$
• Decay and renormalization of a longitudinal mode in a quasi-two-dimensional antiferromagnet
• Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states
• Strongly correlated superconductivity with long-range spatial fluctuations
• Quantum phases and phase transitions of Mott insulators
• The Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Universal Neel Temperature in Three-Dimensional Quantum Antiferromagnets
• Duality, Magnetic space group and their applications to quantum phases and phase transitions on bipartite lattices in several experimental systems
• Topotactic-hydrogen forms chains in $AB$O${}_2$ nickelate superconductors
• Neutron Scattering, Magnetometry, and Quantum Monte Carlo Study of the Randomly-Diluted Spin-1/2 Square-Lattice Heisenberg Antiferromagnet
• Spin dynamics in lightly doped La${}_{2-x}$Sr${}_x$CuO${}_4$: Relaxation function within the $t-J$ model
• Casimir Energy and Modularity in Higher-dimensional Conformal Field Theories
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Quantum phase transitions in antiferromagnets and superfluids
• Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Finite temperature properties of the two-dimensional SU(2) Kondo-necklace
• The Quantum Critical Higgs
• Dissipation and Tunnelling in Quantum Hall Bilayers
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Universal Finite Temperature Properties of a Three Dimensional Quantum Antiferromagnet in the Vicinity of a Quantum Critical Point
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome
• Phenomenological model of protected behavior in the cuprate superconductors
• Finite size scaling investigations in the quantum ${\varphi }^4$-model with long-range interaction
• Electronic self-energy and triplet pairing fluctuations in the vicinity of a ferromagnetic instability in 2D systems: the quasistatic approach
• Hubbard model with Rashba or Dresselhaus spin-orbit coupling and Rotated Anti-ferromagnetic Heisenberg Model
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• Spin-wave condensation and quantum melting of long-range antiferromagnetic order in t-J model
• Stripe glasses in ferromagnetic thin films
• Criticality and Mott-glass phase in a disordered 2D quantum spin systems
• On the Free-Energy of Three-Dimensional CFTs and Polylogarithms
• Renormalization group analysis of the quantum non-linear sigma model with a damping term
• Correlated valence-bond states
• Dynamics near the critical point: the hot renormalization group in quantum field theory
• Charge and spin density wave ordering transitions in strongly correlated metals
• Quantum-Critical transport at a semimetal-to-insulator transition on the honeycomb lattice
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Tight-binding model and ab initio calculation of silicene with strong spin-orbit coupling in low-energy limit
• Spin Gaps in High Temperature Superconductors
• Quantum Group based Modeling for the description of high temperature superconductivity and antiferromagnetism: Some supporting evidence
• Honeycomb antiferromagnet with a triply degenerate dimer ground state
• Nematic Bond Theory of Heisenberg Helimagnets
• Thermally fluctuating superconductors in two dimensions
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Classification of magnons in Rotated Ferromagnetic Heisenberg model and their competing responses in transverse fields
• Magnetic quantum phase transitions of the antiferromagnetic J_{1}-J_{2} Heisenberg model
• Magnetic properties of lightly doped antiferromagnetic YBa${}_2$Cu${}_3$O${}_y$
• Quantum Non-Magnetic state near Metal-Insulator Transition - a Possible Candidate of Spin Liquid State
• Weakly frustrated two-dimensional Heisenberg antiferromagnets: thermodynamic properties from a non-perturbative approach
• Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model
• Spectral functions of 2D systems with coupling of electrons to collective or localized spin degrees of freedom
• On the contrasting spin dynamics of $L{a}_{2-x}S{r}_{x}Cu{O}_4$, $N{d}_{2-x}C{e}_{x}Cu{O}_4$ and $YB{a}_{2}C{u}_3{O}_{6+x}$ near half filling
• Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
• Universal scalings of Néel temperature, staggered magnetization density, and spinwave velocity of three-dimensional disordered and clean quantum antiferromagnets
• Universal Scaling of the Neel Temperature of Near-Quantum-Critical Quasi-Two-Dimensional Heisenberg Antiferromagnets
• Scaling relations in quasi-two-dimensional Heisenberg antiferromagnet
• Topological depletions and sub-leading scalings across topological phase transitions
• Magnetic Catalysis in Antiferromagnetic Films
• Exciton condensation in bilayer spin-orbit insulator
• Classification for the universal scaling of Néel temperature and staggered magnetization density of three-dimensional dimerized spin-1/2 antiferromagnets
• Non-linear soliton confinement in weakly coupled antiferromagnetic spin chains
• Goldstone Boson Interaction in D=2+1 (Pseudo-)Lorentz-Invariant Systems with a Spontaneously Broken Internal Rotation Symmetry
• First ESR Detection of Higgs Amplitude Mode and Analysis with Extended Spin-Wave Theory in Dimer System KCuCl${}_3$
• Spin dynamics across the superfluid-insulator transition of spinful bosons
• Fermi Surface Resonance and Quantum Criticality in Strongly Interacting Fermi Gases
• Theory of the Normal State of Cuprate Superconducting Materials
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Crossover from Spin-Density-Wave to Neel-like Ground state
• Spin-flop transitions and spin-wave gaps in La_2CuO_4
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Magnetic field-driven transition between valence bond solid and antiferromagnetic order in distorted triangular lattice
• Effective action approach to a bi-layer frustrated antiferromagnet
• Typicality at quantum-critical points
• Spin wave analysis of Heisenberg magnets in restricted geometries
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Dimer Expansion Study of the Bilayer Square Lattice Frustrated Quantum Heisenberg Antiferromagnet
• Effective Sublattice Magnetization and Neel Temperature in Quantum Antiferromagnets
• Quasielastic neutron scattering from two dimensional antiferromagnets at a finite temperature
• Elementary Excitations of Quantum Critical 2+1 D Antiferromagnets
• Critical exponents of nonlinear sigma model on Grassmann manifold $U(N)/U(m)U(N-m)$ by $1/N$ expansion
• Quasiparticle structure and coherent propagation in the $t-J_z-J_{\perp }$ model
• Quantum incommensurate Skyrmion crystals and Commensurate to In-commensurate transitions in cold atoms and materials with spin orbit couplings in a Zeeman field
• Spin and charge order in Mott insulators and d-wave superconductors
• Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Exciton correlations and input-output relations in non-equilibrium exciton superfluids
• Quantum phase transitions in magnetism and superconductivity: emergent spin topology seen with neutrons
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Magnetic properties of cuprate perovskites in the normal state
• Universal quantum criticality at finite temperature for two-dimensional disordered and clean dimerized spin-$\frac{1}{2}$ antiferromagnets
• Longitudinal and transverse static spin fluctuations in layered ferro- and antiferromagnets
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Bilocal quantum criticality
• Interplay of frustration and quantum fluctuations in a spin-1/2 anisotropic square lattice
• Magnetic Behavior of the Cuprate Superconductors
• Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Néel transition, spin fluctuations, and pseudogap in underdoped cuprates by a Lorentz invariant four-fermion model in 2+1 dimensions
• Colossal quasiparticle radiation in the Lifshitz spin liquid phase of a two-dimensional quantum antiferromagnet
• Universal scaling of three-dimensional dimerized quantum antiferromagnets on bipartite lattices
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Evidence of electron fractionalization in the Hall coefficient at Mott criticality
• Anomalous thermal broadening from an infrared catastrophe in two-dimensional quantum antiferromagnets
• Quantum critical dynamics for a prototype class of insulating antiferromagnets
• Finite Temperature at Finite Places
• Critical Exponents in a Quantum Phase Transition of an Anisotropic 2D Antiferromagnet
• Invariant spin coherent states and the theory of quantum antiferromagnet in a paramagnetic phase
• Relaxation Critical Dynamics with Emergent Symmetry
• Quantum Criticality for Extended Nodes on a Bethe Lattice in the Large Connectivity Limit
• Universal properties of frustrated spin systems: 1/N-expansion and renormalization group approaches
• Phases of the 2D Hubbard model at low doping
• Topological Excitations and their Contribution to Quantum Criticality in 2+1 D Antiferromagnets
• The non-analytic momentum dependence of spin susceptibility of Heisenberg magnets in paramagnetic phase and its effect on critical exponents
• Manipulating Goldstone modes via the superradiant light in a bosonic lattice gas inside a cavity
• Sublattice Magnetization and Néel Transition in the 2D Quantum Heisenberg Antiferromagnet
• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study
• Spectral damping without quasiparticle decay: The dynamic structure factor of two-dimensional quantum Heisenberg antiferromagnets
• Extraordinary magnetic response of an anisotropic 2D antiferromagnet via site-dilution
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field
• Criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model
• Putative magnetic quantum criticality in (Sr${}_{\text{1-x}}$La${}_{\text{x}}$)${}_{\text{3}}$Ir${}_{\text{2}}$O${}_{\text{7}}$
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Mott glass phase in a diluted bilayer Heisenberg quantum antiferromagnet
• Quantum criticality at finite temperature for two-dimensional $J{Q}_3$ models on the square and the honeycomb lattices
• Sudden and slow quenches into the antiferromagnetic phase of ultracold fermions
• Interplay of Quantum and Thermal Fluctuations in Two-Dimensional Randomly Pinned Charge Density Waves
• Frequency dependence of temporal spin stiffness and short-range magnetic order in the doped two-dimensional Hubbard model
• Dynamics and transport near quantum-critical points
• Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system
• Tuning order in cuprate superconductors
• Slow-Goldstone mode generated by order from quantum disorder and its experimental detection
• The Two-Dimensional Infinite Heisenberg Classical Square Lattice: Exact Theory and Experimental Results
• Bose-Einstein condensations of magnons in quantum magnets with spin-orbit coupling in a Zeeman field