Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

Abstract

We present the critical theory of a number of zero temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the transition of the S = 1/2 square lattice antiferromagnet between the Neel state (which breaks spin rotation invariance) and the paramagnetic valence bond solid (which preserves spin rotation invariance but breaks lattice symmetries). We show that these two states are separated by a second order quantum phase transition. The critical theory is not expressed in terms of the order parameters characterizing either state (as would be the case in Landau-Ginzburg-Wilson theory) but involves fractionalized degrees of freedom and an emergent, topological, global conservation law. A closely related theory describes the superfluid-insulator transition of bosons at half-filling on a square lattice, in which the insulator has a bond density wave order. Similar considerations are shown to apply to transitions of antiferromagnets between the valence bond solid and the Z_2 spin liquid: the critical theory has deconfined excitations interacting with an emergent U(1) gauge force. We comment on the broader implications of our results for the study of quantum criticality in correlated electron systems.

arXiv comment35 pages, 6 figures

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• Ground-state phases of the spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet on the honeycomb lattice
• One-dimensional model for deconfined criticality with ${\mathbb{Z}}_3\times {\mathbb{Z}}_3$ symmetry
• Gross-Neveu Heisenberg criticality: dynamical generation of quantum spin Hall masses
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points
• Self-Consistent Large-$N$ Analytical Solutions of Inhomogneous Condensates in Quantum $\mathbb{C}{P}^{N-1}$ Model
• Continuous phase transition from Néel state to Z_2 spin liquid state on a square lattice
• Thermal valence-bond-solid transition of quantum spins in two dimensions
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Quantum phase transitions of antiferromagnets and the cuprate superconductors
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets
• Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets
• Spin liquids in graphene
• Compact $z=2$ Electrodynamics in 2+1 dimensions: Confinement with gapless modes
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Metal-Insulator Transition with Charge Fractionalization
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Deconfinement in the presence of a Fermi surface
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Slater and Mott insulating states in the SU(6) Hubbard model
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Quasiparticles and order parameter near quantum phase transition in heavy fermion metals
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
• Exploring $SU(N)$ adjoint correlators in $3d$
• Three-dimensional monopole-free CP(N-1) models
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet
• Deconfinement in d=1: A closer look
• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Reclaiming the Lost Conformality in a non-Hermitian Quantum 5-state Potts Model
• A roadmap for bootstrapping critical gauge theories: decoupling operators of conformal field theories in $d>2$ dimensions
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• Boundary states of Three Dimensional Topological Order and the Deconfined Quantum Critical Point
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
• Quantum phase transition, universality and scaling behaviors in the spin-1/2 Heisenberg model with ferromagnetic and antiferromagnetic competing interactions on honeycomb lattice
• Neel to staggered dimer order transition in a generalized honeycomb lattice Heisenberg model
• Non-equilibrium quantum Monte Carlo algorithm for stabilizer Renyi entropy in spin systems
• Line of continuous phase transitions in a three dimensional U(1) model with 1/r^2 current-current interactions
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Deconfined quantum criticality of the O(3) nonlinear $\sigma$ model in two spacial dimensions: A renormalization group study
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
• Valence bond solid phases in a cubic antiferromagnet
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• On non-Fermi liquid quantum critical points in heavy fermion metals
• Effective field theory for Sp(N) antiferromagnets and its phase structure
• Charge-$2e$ Skyrmion condensate in a hidden order state
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Chern-Simons superconductors and their instabilities
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Emergent symmetries and coexisting orders in Dirac fermion systems
• Confinement of monopoles and scaling theory near unconventional critical points
• Quantum Melting of Valence Bond Crystal Insulators and Novel Supersolid Phase at Commensurate Density
• Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
• Confinement of matter fields in compact (2+1)-dimensional QED theory of high-$T_c$ superconductors
• Ground-state long-range order in quasi-one-dimensional Heisenberg quantum antiferromagnets: High-order coupled-cluster calculations
• Tensor network study of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ model: incommensurate spiral order, mixed valence-bond solids, and multicritical points
• A 2D quantum antiferromagnet with a four-fold degenerate valence-bond-solid ground state
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Phases and Exotic Phase Transitions of a Two-Dimensional Su-Schrieffer-Heeger Model
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• A high-order study of the quantum critical behavior of a frustrated spin-$\frac{1}{2}$ antiferromagnet on a stacked honeycomb bilayer
• Correlated valence-bond states
• Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet
• Spectrum of conformal gauge theories on a torus
• Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices
• Quantum Phase Transitions beyond the Landau's Paradigm in Sp(4) Spin System
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Kondo physics in the algebraic spin liquid
• Evidence for pressure induced unconventional quantum criticality in the coupled spin ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Edge and impurity response in two-dimensional quantum antiferromagnets
• Emergent topological excitations in a two-dimensional quantum spin system
• Phase diagram of the Heisenberg antiferromagnet with four-spin interactions
• Generic "Unnecessary" Quantum Critical Points with Minimal Degrees of Freedom
• Holography and condensed matter
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Phases and phase transitions in a $U(1)\times U(1)$ system with $\theta =2\pi /3$ mutual statistics
• Competing orders in the Dirac-like electronic structure and the non-linear sigma model with the topological terms
• Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice
• Theoretical constraints for the magnetic-dimer transition in two-dimensional spin models
• Deconfined criticality in bilayer graphene
• Elementary excitations in the ordered phase of spin-1/2 J1-J2 model on square lattice
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Conformality and self-duality of $N_f=2$ QED${}_3$
• Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Zero sound and higher-form symmetries in compressible holographic phases
• First-order Néel-cVBS transition in a model square lattice $S=1$ antiferromagnet
• Superconductivity from Doublon Condensation in the Ionic Hubbard Model
• Average-exact mixed anomalies and compatible phases
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• Deconfined criticality and bosonization duality in easy-plane Chern-Simons two-dimensional antiferromagnets
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Resummation-based updates for Stochastic Series Expansion Quantum Monte Carlo
• Unconventional quantum phase transitions in a one-dimensional Lieb-Schultz-Mattis system
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Quantum Destruction of Spiral Order in Two Dimensional Frustrated Magnets
• Spin dynamics and continuum spectra of the honeycomb J1-J2 antiferromagnetic Heisenberg model
• Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets
• Deconfined Quantum Critical Point: A Review of Progress
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• SU(N) Heisenberg model with multi-column representations
• Global anomaly matching in higher-dimensional ${\mathbb{CP}}^{N-1}$ model
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
• Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries
• Machine Learning the Operator Content of the Critical Self-Dual Ising-Higgs Gauge Model
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Frozen deconfined quantum criticality
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Critical properties of metallic and deconfined quantum phase transitions in Dirac systems
• Limits to magnetic quantum criticality from nuclear spins
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• Deconfined quantum criticality and logarithmic violations of scaling from emergent gauge symmetry
• Numerical studies of various Neel-VBS transitions in SU(N) anti-ferromagnets
• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain
• Topological terms on topological defects: a quantum Monte Carlo study
• Fermion-induced Dynamical Critical Point
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Classical phase diagram of the stuffed honeycomb lattice
• Antiferromagnetic metal to heavy-fermion metal quantum phase transition in the Kondo lattice model: A strong coupling approach
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• Three-dimensional monopole-free CP${}^{N-1}$ models: Behavior in the presence of a quartic potential
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Slightly broken higher-spin current in bosonic and fermionic QED in the large-$N$ limit
• Dynamical signatures of the one-dimensional deconfined quantum critical point
• Dual dynamic scaling in deconfined quantum criticality
• Characterization of randomness in quantum circuits of continuous gate sets
• Two-parameter scaling theory of the longitudinal magnetoconductivity in a Weyl metal phase: Chiral anomaly, weak disorder, and finite temperature
• Duality of a compact topological superconductor model and the Witten effect
• Fermion-induced quantum critical point in the Landau-Devonshire model
• Two-Fluid Description for Iron-Based Superconductors
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Boundary Criticality of Topological Quantum Phase Transitions in $2d$ systems
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Frustrated Heisenberg antiferromagnet on the honeycomb lattice with spin quantum number $s\ge 1$
• Multicomponent gauge-Higgs models with discrete Abelian gauge groups
• Detecting emergent continuous symmetries at quantum criticality
• Caution on Gross-Neveu criticality with a single Dirac cone: Violation of locality and its consequence of unexpected finite-temperature transition
• Anisotropic deconfined criticality in Dirac spin liquids
• Tensor-product representations for string-net condensed states
• Freezing of an unconventional two-dimensional plasma
• Emergent criticality in fully frustrated quantum magnets
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
• Exact Solution to the Quantum and Classical Dimer Models on the Spectre Aperiodic Monotiling
• QED's in $2+1$ dimensions: complex fixed points and dualities
• Deconfined quantum criticality in SU(3) antiferromagnets on the triangular lattice
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Topologically twisted renormalization group flow and its holographic dual
• Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice
• Current-loops, phase transitions, and the Higgs mechanism in Josephson-coupled multi-component superconductors
• Matter fields near quantum critical point in (2+1)-dimensional U(1) gauge theory
• Violation of the Spin Statistics Theorem and the Bose-Einstein Condensation of Particles with Half Integer Spin
• Heavy electrons from Hund's rule and short-range Antiferromagnetism
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Persistent superfluid phase in a three-dimensional quantum XY model with ring exchange
• Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• Topological physics in quantum critical systems
• Low-energy singlet sector in spin-$\frac{1}{2}$ $J_1$--$J_2$ Heisenberg model on square lattice
• Skyrmions in a density wave state: a mechanism for chiral superconductivity
• Bandwidth-control vs. doping-control Mott transition in the Hubbard model
• Elementary Excitations of Quantum Critical 2+1 D Antiferromagnets
• Magnetic field-driven transition between valence bond solid and antiferromagnetic order in distorted triangular lattice
• Influence of the quantum zero-point motion of a vortex on the electronic spectra of s-wave superconductors
• Floquet Flux Attachment in Cold Atomic Systems
• Synchronization transition in the double dimer model on the cubic lattice
• Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point
• The $SO(3)\times SO(3)\times U(1)$ Hubbard model on a square lattice in terms of $c$ and $\alpha \nu$ fermions and deconfined $\eta$-spinons and spinons
• Vertex correction and Ward identity in the U(1) gauge theory with Fermi surface
• Multi-critical point and unified description of broken-symmetry phases in spin-1/2 anti-ferromagnets on a square lattice
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Critical particle-hole composites at twice the Fermi wave vector in U(1) spin liquid with a Fermi surface
• Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Charged critical behavior and nonperturbative continuum limit of three-dimensional lattice SU($N_c$) gauge Higgs models
• Fractionalized Fermi liquids and the cuprate phase diagram
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Deconfined quantum criticality in the two dimensional Kondo lattice model
• Simulating spin systems with Majorana networks
• Translation-Invariant Parent Hamiltonians of Valence Bond Crystals
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Competition between superconductivity and charge density waves
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic order
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Disturbing news about the $d=2+\epsilon$ expansion
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Nonlinear Lifshitz Photon Theory in Condensed Matter Systems
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Monopoles, confinement and charge localization in the t-J model with dilute holes
• Quasiuniversality from all-in-all-out Weyl quantum criticality in pyrochlore iridates
• Continuous topological phase transition between ${\mathbb{Z}}_2$ topologically ordered phases
• Extended dual description of Mott transition beyond two-dimensional space
• Quantum critical scaling of altermagnetism
• Triplon mean-field analysis of an antiferromagnet with degenerate Shastry-Sutherland ground states
• Spin-Peierls instability of deconfined quantum critical points
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• Bandwidth controlled quantum phase transition between an easy-plane quantum spin Hall state and an s-wave superconductor
• Low-energy parameters and spin gap of a frustrated spin-$s$ Heisenberg antiferromagnet with $s\le \frac{3}{2}$ on the honeycomb lattice
• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
• Mott insulating states of the anisotropic SU(4) Dirac fermions
• Persistent Corner Spin Mode at the Quantum Critical Point of a Plaquette Heisenberg Model
• Bose-Einstein condensation of deconfined spinons in two dimensions
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory
• Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Deconfined quantum criticality and generalised exclusion statistics in a non-hermitian BCS model
• Possible phases of the spin-$1/2$ $XXZ$ model on a honeycomb lattice by boson-vortex duality
• Thermodynamic and Dynamical Signatures of a Quantum Spin-Hall Insulator to Superconductor Transition
• A Fuzzy Sphere Journey in Critical Phenomena
• Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets
• Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet
• Nematic Antiferromagnetism and Deconfined Criticality from the Interplay between Electron-Phonon and Electron-Electron Interactions
• Cancellation of IR Divergences in 3d Abelian Gauge Theories
• Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• The non-analytic momentum dependence of spin susceptibility of Heisenberg magnets in paramagnetic phase and its effect on critical exponents
• Relaxation Critical Dynamics with Emergent Symmetry
• Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment
• Confinement/deconfinement transition from symmetry breaking in gauge/gravity duality
• Deconfined Quantum Critical Point with Non-locality
• Monopole hierarchy in transitions out of a Dirac spin liquid
• Interplay between interaction and chiral anomaly in the holographic approach
• Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality
• Anomalous thermal broadening from an infrared catastrophe in two-dimensional quantum antiferromagnets
• Critical structure and emergent symmetry of Dirac fermion systems
• Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
• Deconfined Quantum Criticality among Grand Unified Theories
• Zero Curvature Condition for Quantum Criticality
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Analogs of deconfined quantum criticality for non-invertible symmetry breaking in 1d
• Scalar gauge-Higgs models with discrete Abelian symmetry groups
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Frustrated Bose ladder with extended range density-density interaction
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Haldane's Instanton in 2D Heisenberg model revisited: along the Avenue of Topology
• Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators
• Deconfined quantum criticality on a triangular Rydberg array
• "Self-Dual" Quantum Critical Point on the surface of $3d$ Topological Insulator
• Stoner instability revisited: Emergence of local quantum criticality?
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Phase transitions and composite order in $\mathrm{U}(1{)}^N$ lattice London models
• Stability of algebraic spin liquids coupled to quantum phonons
• Non-Landau Quantum Phase Transitions and nearly-Marginal non-Fermi Liquid
• BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics
• Quantum criticality at finite temperature for two-dimensional $J{Q}_3$ models on the square and the honeycomb lattices
• Collective dynamics of Fermi-surface fluctuations in an interacting Weyl metal phase
• Competition between Neel, Haldane nematic, plaquette valence bond solid, and $(\pi ,\pi )$ valence bond solid phases in SU(N) analogs of $S=1$ square-lattice antiferromagnets
• From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions
• Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
• Fermionic skyrmions and bosonization for a Gross-Neveu transition
• Unconventional criticality in $O(D)$-invariant loop-constrained Landau theory
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Short-time critical dynamics in the classical cubic dimer model
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions
• Phonon anomalies and critical scaling in the spin-$1/2$ trimer chain Na${}_2$Cu${}_3$Ge${}_4$O${}_{12}$
• Critical behavior of QED${}_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge
• Fermion zero mode and superfluid weight
• Note on Monopole Operators in Chern-Simons-Matter Theories
• Generalized symmetry enriched criticality in (3+1)d
• Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J{Q}_3$ model on the honeycomb lattice
• Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State
• Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model
• Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet
• Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio
• Viewpoint: duality for fermionic vortices
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model
• When Wannier centers jump: Critical points between atomic insulating phases
• Effects of a strict site-occupation constraint in the description of quantum spin systems at finite temperature
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Deconfined quantum criticality with internal supersymmetry
• Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality
• Fermionic criticality with enlarged fluctuations in Dirac semimetals