Critical Phenomena and Renormalization-Group Theory

Abstract

We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of self-avoiding walks. For each of them, we review the estimates of the critical exponents, of the equation of state, of several amplitude ratios, and of the two-point function of the order parameter. We report results in three and two dimensions. We discuss the crossover phenomena that are observed in this class of systems. In particular, we review the field-theoretical and numerical studies of systems with medium-range interactions. Moreover, we consider several examples of magnetic and structural phase transitions, which are described by more complex Landau-Ginzburg-Wilson Hamiltonians, such as $N$-component systems with cubic anisotropy, O($N$)-symmetric systems in the presence of quenched disorder, frustrated spin systems with noncollinear or canted order, and finally, a class of systems described by the tetragonal Landau-Ginzburg-Wilson Hamiltonian with three quartic couplings. The results for the tetragonal Hamiltonian are original, in particular we present the six-loop perturbative series for the $\beta$-functions. Finally, we consider a Hamiltonian with symmetry $O(n_1)\oplus O(n_2)$ that is relevant for the description of multicritical phenomena.

151 pages. Extended and updated version. To be published in Physics Reports

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• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
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• Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
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• Critical behavior of magnetic systems with extended impurities in general dimensions
• The critical equation of state of the three-dimensional O(N) universality class: N>4
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• Three-dimensional $O(N)$-invariant ${\varphi }^4$ models at criticality for $N\ge 4$
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• Criticality of O(N) symmetric models in the presence of discrete gauge symmetries
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• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
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• Multicritical behavior in frustrated spin systems with noncollinear order
• Equilibrium and non-equilibrium concentration fluctuations in a critical binary mixture
• Different critical behaviors in cubic to trigonal and tetragonal perovskites
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• Critical quantum thermometry and its feasibility in spin systems
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• Multicritical behavior of two-dimensional anisotropic antiferromagnets in a magnetic field
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• Spectrum of anomalous dimensions in hypercubic theories
• The O(N)-model within the Phi-derivable expansion to order lambda^2: on the existence, UV and IR sensitivity of the solutions to self-consistent equations
• Highly resolved spectral functions of two-dimensional systems with neural quantum states
• Renormalization Group on hierarchical lattices in finite dimensional disordered Ising and Blume-Emery-Griffiths Models
• Functional renormalization group in the broken symmetry phase: momentum dependence and two-parameter scaling of the self-energy
• Monte Carlo critical isotherms for Ising lattices
• The multiple symmetry sustaining phase transitions of spin ice
• Universal behavior of coupled order parameters below three dimensions
• Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Critical parameters from trap-size scaling in trapped particle systems
• Critical behavior of the random-anisotropy model in the strong-anisotropy limit
• Critical exponents and intrinsic broadening of the field-induced transition in NiCl${}_2$$\cdot$4SC(NH${}_2$)${}_2$
• Critical Casimir force in the presence of random local adsorption preference
• Critical behavior of the three-dimensional compressible Ising antiferroma gnet at constant volume: a Monte Carlo study
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• The effect of noise on the synchronization dynamics of the Kuramoto model on a large human connectome graph
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Extended Scaling for Ferromagnets
• Universal short time quantum critical dynamics of finite size systems
• Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
• The three-dimensional, three state Potts model in a negative external field
• Magnetic phase diagram of the coupled triangular spin tubes for CsCrF4
• Molecular dynamics simulation of a binary mixture near the lower critical point
• Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy
• Universality classes of three-dimensional $mn$-vector model
• Three-dimensional monopole-free CP(N-1) models
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Heisenberg antiferromagnets with uniaxial exchange and cubic anisotropies in a field
• Precise Critical Exponents of the O(N)-Symmetric Quantum field Model using Hypergeometric-Meijer Resummation
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Critical stretching of mean-field regimes in spatial networks
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Thermal cycling induced alteration of the stacking order and spin-flip in the room temperature van der Waals magnet Fe${}_5$GeTe${}_2$
• Three-body critical Casimir forces
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Phase Diagram of Boron Carbide With Variable Carbon Composition
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Master crossover functions for the one-component fluid "subclass"
• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
• Salt-induced microheterogeneities in binary liquid mixtures
• Critical Exponents in Two Dimensions and Pseudo-ε Expansion
• Thermodynamic Casimir Effect in Films: the Exchange Cluster Algorithm
• Probing the Mott Physics in $\kappa$-(BEDT-TTF)${}_2$X Salts via Thermal Expansion
• Evidence for Kosterlitz-Thouless and 3D-xy critical behavior in Bi2212
• Disordered vector models: from higher spins to incipient strings
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Third virial coefficient for 4-arm and 6-arm star polymers
• Ising model close to $d=2$
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Improved thermodynamics of SU(2) gauge theory
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Breaking of the gauge symmetry in lattice gauge theories
• Beyond magnons in Nd2ScNbO7: An Ising pyrochlore antiferromagnet with all in all out order and random fields
• The tri-fundamental quartic model
• Bounds on multiscalar CFTs in the epsilon expansion
• Dynamic finite-size scaling at first-order transitions
• Real-space renormalization group for the transverse-field Ising model in two and three dimensions
• Exactly Solvable Model of Monomer-Monomer Reactions on a Two-Dimensional Random Catalytic Substrate
• Bose-Einstein condensate fluctuations versus an interparticle interaction
• Phase diagram and Higgs phases of 3D lattice SU(Nc) gauge theories with multiparameter scalar potentials
• The bi-conical vector model at $1/N$
• Universality Class of the Mott Transition
• Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors
• Classification of critical phenomena in hierarchical small-world networks
• Bootstrapping Mixed MN Correlators in 3D
• Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point
• Alternative flow equation for the functional renormalization group
• Hidden Magnetic Order in Triangular-Lattice Magnet Li2MnTeO6
• Platonic Field Theories
• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
• Changing anyonic ground degeneracy with engineered gauge fields
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• Nonequilibrium critical relaxation in the presence of extended defects
• Microscopic theory of phase transitions in a critical region
• Wilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Asymptotic safety on the lattice: The Nonlinear O(N) Sigma Model
• The low-temperature phase in the two-dimensional long-range diluted XY model
• Polymer size in dilute solutions in the good-solvent regime
• Phase behavior of blocky charge lattice polymers: Crystals, liquids, sheets, filaments and clusters
• Finite size and cut-off effects on the Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Staggered fermions
• First order phase transitions in classical lattice gas spin models
• Pseudo-$\epsilon$ Expansion and Renormalized Coupling Constants at Criticality
• Monte-Carlo study of anisotropic scaling generated by disorder
• Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Direct calculation of the critical Casimir force in a binary fluid
• Pseudo-epsilon expansion and the two-dimensional Ising model
• Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model
• Crossover from low-temperature to high-temperature fluctuations. I. Thermodynamic Casimir forces of isotropic systems
• Crossover from low-temperature to high-temperature fluctuations. II. Nonuniversal thermodynamic Casimir forces of anisotropic systems
• Stochastic lattice models for the dynamics of linear polymers
• On a microcanonical relation between continuous and discrete spin models
• Non-Perturbative U(1) Gauge Theory at Finite Temperature
• Hypergeometric continuation of divergent perturbation series. I. Critical exponents of the Bose-Hubbard model
• Disordered Ising model with correlated frustration
• Bootstrap and Amplitudes: A Hike in the Landscape of Quantum Field Theory
• 3D Ising Model: a view from the Conformal Bootstrap Island
• Scaling behavior of Ising systems at first-order transitions
• Metastable antiphase boundary ordering in CaFe${}_2$O${}_4$
• Evidence for pressure induced unconventional quantum criticality in the coupled spin ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Liquid bridging of cylindrical colloids in near-critical solvents
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• An extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
• Ising antiferromagnet on the 2-uniform lattices
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• Magnetism in Kitaev Quantum Spin Liquid Candidate RuBr${}_3$
• Smooth cutoff formulation of hierarchical reference theory for a scalar phi4 field theory
• Nonmonotonic specific entropy on the transition line near the QCD critical point
• Critical Casimir forces in the presence of random surface fields
• Fourier Monte Carlo Renormalization Group Approach to Crystalline Membranes
• Crossover from a Kosterlitz-Thouless to a discontinuous phase transition in two-dimensional liquid crystals
• Free Energy and Equation of State of Ising-like Magnet Near the Critical Point
• Quantum groups as hidden symmetries of quantum impurities
• Neutron spin-echo study of the critical dynamics of spin-5/2 antiferromagnets in two and three dimensions
• Spin models with random anisotropy and reflection symmetry
• Network Renormalization
• Two-parameter model predictions and theta-point crossover for linear-polymer solutions
• Relationship between and implications of the isotope and pressure effects on transition temperature, penetration depths and conductivities
• The three-dimensional XY universality class: A high precision Monte Carlo estimate of the universal amplitude ratio A_+/A_-
• Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group
• Six-loop $\epsilon$ expansion of three-dimensional $\text{U}(n)\times \text{U}(m)$ models
• Critical behavior of diluted magnetic semiconductors: the apparent violation and the eventual restoration of the Harris criterion for all regimes of disorder
• Exact solutions and residual regulator dependence in functional renormalisation group flows
• Universal low-temperature behavior of two-dimensional lattice scalar chromodynamics
• Evidence for 3D-xy critical properties in underdoped YBa2Cu3O7+x
• Symmetry and universality of multi-field interactions in $6-\epsilon$ dimensions
• Critical Behaviour of One-particle Spectral Weights in the Transverse Ising Model
• High-temperature series for the bond-diluted Ising model in 3, 4 and 5 dimensions
• Two-parameter scaling of correlation functions near continuous phase transitions
• Surface-induced non-equilibrium dynamics and critical Casimir forces for model B in film geometry
• Exact Lorentz-violating all-loop ultraviolet divergences in scalar field theories
• Critical phenomena at the complex tensor ordering phase transition
• Conformal perturbation of off-critical correlators in the 3D Ising universality class
• Off-equilibrium relaxational dynamics with improved Ising Hamiltonian
• Critical Casimir forces between defects in the 2D Ising model
• Fisher Exponent from Pseudo-$\epsilon$ Expansion
• Line contribution to the critical Casimir force between a homogeneous and a chemically stepped surface
• New applications of the renormalization group method in physics -- a brief introduction
• Critical Casimir forces for O(N) models from functional renormalization
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• The search for the universality class of metric quantum gravity
• Phase diagram of the triangular-lattice Potts antiferromagnet
• $SO(3)$-invariant phase of the $O(N{)}^3$ tensor model
• Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model
• Crystallographic and magnetic structure of UNi${}_4$${}^{11}$B
• Detecting scaling in phase transitions on the truncated Heisenberg algebra
• Dynamic structure factor of the Ising model with purely relaxational dynamics
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Pronounced minimum of the thermodynamic Casimir forces of O($\mathbf{n}$) symmetric film systems: Analytic theory
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
• The specific heat of thin films near the lambda-transition: A Monte Carlo study of an improved three-dimensional lattice model
• Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method
• Extending a Scaling Equation of State to QCD
• Phase boundary and finite temperature crossovers of the quantum Ising model in two dimensions
• SU(3) deconfining phase transition with finite volume corrections due to a confined exterior
• Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0
• Scale without Conformal Invariance in Dipolar Ferromagnets
• Enhancement of field renormalization in scalar theories via functional renormalization group
• Robustness of the O($N$) universality class
• Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables
• Discovering and quantifying nontrivial fixed points in multi-field models
• Field-theory results for three-dimensional transitions with complex symmetries
• Screening masses in the SU(3) pure gauge theory and universality
• Quasi-long-range order in trapped systems
• Emergent XY* transition driven by symmetry fractionalization and anyon condensation
• Screening masses in the SU(3) pure gauge theory and universality
• Structural and Magnetic Transitions in the Planar Antiferromagnet Ba${}_4$Ir${}_3$O${}_{10}$
• Simulation of Transport around the Coexistence Region of a Binary Fluid
• Hidden superuniversality in systems with continuous variation of critical exponents
• Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group
• Two phase transitions in the two-dimensional nematic 3-vector model with no quasi long-range order: Monte Carlo simulation of the density of states
• Nature of continuous phase transitions in interacting topological insulators
• Charting the scaling region of the Ising universality class in two and three dimensions
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Extrapolating the precision of the Hypergeometric Resummation to Strong couplings with application to the $\mathcal{P}\mathcal{T}-$Symmetric $i{\varphi }^3$ Field Theory
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Magneto-Elastic Coupling to Coherent Acoustic Phonon Modes in Ferrimagnetic Insulator GdTiO${}_3$
• Universality versus nonuniversality in asymmetric fluid criticality
• Unusual Coupling Between Field-induced Spin Fluctuations and Spin Density Wave in Intermetallic CeAg2Ge2
• An exact solution on the ferromagnetic Face-Cubic spin model on a Bethe lattice
• Elastic Lattice Polymers
• Lateral critical Casimir force in 2D Ising strip with inhomogeneous walls
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
• Linear magnetoelastic coupling and magnetic phase diagrams of the buckled-kagomé antiferromagnet Cu${}_3$Bi(SeO${}_3$)${}_2$O${}_2$Cl
• Bulk and Boundary Critical Behavior at Lifshitz Points
• Universal Critical Wrapping Probabilities in the Canonical Ensemble
• Stability of fixed points and generalized critical behavior in multifield models
• Quench induced Mott insulator to superfluid quantum phase transition
• Renormalization group approach for Lorentz-violating scalar field theory at all loop orders
• Third-harmonic exponent in three-dimensional N-vector models
• Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
• Interplay of magnetic order and ferroelasticity in the spin-orbit coupled antiferromagnet K${}_2$ReCl${}_6$
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Order indices and entanglement production in quantum systems
• A Self-Adaptive First-Principles Approach for Magnetic Excited States
• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories
• Quasi-stationary criticality of the Order-Parameter of the d=3 Random-Field Ising Antiferromagnet Fe(0.85)Zn(0.15)F2: A Synchrotron X-ray Scattering Study
• Marginal dimensions of the Potts model with invisible states
• Large-$N$ pion scattering at finite temperature: the $f_0(500)$ and chiral restoration
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
• Universality of photon counting below a bifurcation threshold
• The tricritical Ising CFT and conformal bootstrap
• Effective average action based approach to correlation functions at finite momenta
• Quantum Monte Carlo study of topological phases on a spin analogue of Benalcazar-Bernevig-Hughes model
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Dynamics of the critical Casimir force for a conserved order parameter after a critical quench
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Local Spin Glass Order in 1D
• Equation of State for Spin Systems with Goldstone Bosons: the 3d O(4) Case
• Dimensional reduction by pressure in the magnetic framework material CuF${}_2$(D${}_2$O)${}_2$pyz: from spin-wave to spinon excitations
• Diffusiophoresis in a Near-critical Binary Fluid Mixture
• Machine learning phase transitions of the three-dimensional Ising universality class
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Effective Pair Interaction of Patchy Particles in Critical Fluids
• ${\mathbb{Z}}_4$-symmetric perturbations to the XY model from functional renormalization
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• Kallen-Lehman approach to 3D Ising model
• Structure of liquid--vapor interfaces: perspectives from liquid state theory, large-scale simulations, and potential grazing-incidence X-ray diffraction
• Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows
• The Ising Model with Hybrid Monte Carlo
• Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields
• A variance reduced estimator of the connected two-point function in the presence of a broken Z_2 symmetry
• Fluids in porous media: The case of neutral walls
• Universal scalings of Néel temperature, staggered magnetization density, and spinwave velocity of three-dimensional disordered and clean quantum antiferromagnets
• Comments concerning the Ising model and two letters by N.H. March
• Statistical mechanics of phase transitions in elastic media with vanishing thermal expansion
• Critical behavior of frustrated spin systems with nonplanar orderings
• Unconventional ferromagnetism and spin-triplet superconductivity in the imbalanced Kagome-lattice Hubbard model
• Magnetic ground state of the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ at high magnetic fields
• Universal scaling effects of a temperature gradient at first-order transitions
• Crossover from random-exchange to random-field critical behavior in Ising models
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• The three-dimensional gauge-glass model
• Critical Dynamical Exponent of the Two-Dimensional Scalar ${\varphi }^4$ Model with Local Moves
• Critical equation of state of randomly dilute Ising systems
• Multiparameter universality and directional nonuniversality of exact anisotropic critical correlation functions of the two-dimensional Ising universality class
• Universal Critical Behavior of Percolation in Orientationally Ordered Janus Particles and Other Anisotropic Systems
• Condensate density of interacting bosons: a functional renormalization group approach
• Computation of the dynamic critical exponent of the three-dimensional Heisenberg model
• Quantum Field Theories and Critical Phenomena on Defects
• Pressure effects on the superconducting properties of YBa_2Cu_4O_8
• Three-dimensional monopole-free CP${}^{N-1}$ models: Behavior in the presence of a quartic potential
• Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and ${\mathrm{RP}}^2$ models: zero-temperature phase transition versus finite-temperature crossover
• The spectrum of massive excitations of 3d 3-state Potts model and universality
• An Ising Model for Metal-Organic Frameworks
• Isothermal transport of a near-critical binary fluid mixture through a capillary tube with the preferential adsorption
• Microcanonical finite-size scaling in specific heat diverging 2nd order phase transitions
• Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test
• Spin correlation in trigonal EuMn${}_2$As${}_2$
• The phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet
• Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
• Anomaly and a QCD-like phase diagram with massive bosonic baryons
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• A New Approach to Real Space Renormalization Group Treatment of Ising Model for Square and Simple Cubic Lattice
• Multiparameter universality and conformal field theory for anisotropic confined systems: test by Monte Carlo simulations
• Thermal critical dynamics from equilibrium quantum fluctuations
• Towards a fully automated computation of RG-functions for the 3-$d$ O(N) vector model: Parametrizing amplitudes
• Quantum and Thermal Phase Transitions in a Bosonic Atom-Molecule Mixture in a Two-dimensional Optical Lattice
• Conductance distribution near the Anderson transition
• Multicritical behavior of the two-dimensional transverse Ising metamagnet in a longitudinal magnetic field
• Magnons in a two dimensional transverse field XXZ model
• Chiral Symmetry Restoration for the large-$N$ pion gas
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• $W$ : an alternative phenomenological coupling parameter for model systems
• Critical properties of dissipative quantum spin systems in finite dimensions
• Infinite distances in multicritical CFTs and higher-spin holography
• Multicomponent gauge-Higgs models with discrete Abelian gauge groups
• The ordinary surface universality class of the three-dimensional O($N$) model
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• Statistics of Feynman amplitudes in ${\varphi }^4$-theory
• Exceptionally Slow, Long Range, and Non-Gaussian Critical Fluctuations Dominate the Charge Density Wave Transition
• All-loop order critical exponents for massless scalar field theory with Lorentz violation in the BPHZ method
• Effective interaction between a colloid and a soft interface near criticality
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Fisher zeros in the Kallen-Lehmann approach to 3D Ising model
• Inverse scattering-theory approach to the exact large-$n$ solutions of $O(n)$ ${\varphi }^4$ models on films and semi-infinite systems bounded by free surfaces
• Low-frequency, wideband study of an active repeater, FRB 20240114A, with the GMRT
• Universality in long-range interacting systems: the effective dimension approach
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Critical Behaviour of the Fuzzy Sphere
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Higher moments of charge fluctuations in QCD at high temperature
• Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases
• Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; Resummation of perturbative renormalization functions from field theories
• Influence of long-range correlated quenched disorder on the adsorption of long flexible polymer chains on a wall
• Conformal perturbation theory confronts lattice results in the vicinity of a critical point
• Diffeomorphism symmetry effect on the O(N ) universality class
• An Analytic Equation of State for Ising-like Models
• Self-averaging in the random 2D Ising ferromagnet
• Phase Diagram Structure of Topological Mott Transition for Zero-gap Semiconductors beyond Conventional Landau-Ginzburg-Wilson Scenario
• Two- and three-point functions at criticality: Monte Carlo simulations of the three-dimensional $(q+1)$-state clock model
• Hydrodynamic collective modes for cold trapped gases
• Duality and Fisher zeros in the 2D Potts model on square lattice
• Bi- and tetracritical phase diagrams in three dimensions
• Lattice vibration as a knob for novel quantum criticality: Emergence of supersymmetry from spin-lattice coupling
• Density of states of continuous and discrete spin models: a case study
• Generalization of the Central Limit Theorem to Critical Systems: Revisiting Perturbation Theory
• Anomalous Dimensions in Hypercubic Theories
• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Scattering length from holographic duality
• Critical dynamics of diluted relaxational models coupled to a conserved density (diluted model C)
• Investigation of ferromagnetic domain behavior and phase transition at nanoscale in bilayer manganites
• Scaling properties of the projected SO(5) model in three dimensions
• Continuous demixing transition of binary liquids: finite-size scaling from the analysis of sub-systems
• Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge
• Quantum critical properties of Bose-Hubbard models
• Lattice radial quantization by cubature
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Ordering
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• The puzzle of bicriticality in the XXZ antiferromagnet
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Spontaneous breaking of finite group symmetries at all temperatures
• Anisotropy of a Cubic Ferromagnet at Criticality
• Solvent mediated forces in critical fluids
• Critical exponents in coupled phase-oscillator models on small-world networks
• Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon
• A geometrical interpretation of critical exponents
• Universal Amplitude Ratios for Constrained Critical Systems
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Critical exponents from two-particle irreducible 1/N expansion
• Fluctuation induced forces in critical films with disorder at their surfaces
• Large-N_f chiral transition in the Yukawa model
• Critical scaling to infinite temperature
• Static and dynamic structure factors in three-dimensional randomly diluted Ising models
• Critical surface adsorption of confined binary liquids with locally conserved mass and composition
• Phase diagram of the 4D U(1) model at finite temperature
• Incompleteness of the large-$N$ analysis of the $O(N)$ models: Nonperturbative cuspy fixed points and their nontrivial homotopy at finite $N$
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
• Dipole Ordering of Water Molecules in Cordierite: Monte Carlo Simulations
• Scaling Behavior of the Heisenberg Model in Three Dimensions
• Liquid-gas phase transition at and below the critical point
• Coexistence of Commensurate and Incommensurate Antiferromagnetic Groundstates in Co${}_x$NbSe${}_2$ Single Crystal
• Monte Carlo study of the critical properties of the three-dimensional 120-degree model
• Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
• Effective potential of the three-dimensional Ising model: the pseudo-$\epsilon$ expansion study
• The Universal Equation of State near the Critical Point of QCD
• Universal Large-order asymptotic behavior of the Strong-coupling and High-Temperature series expansions
• Universal scaling in real dimension
• ${\varphi }^4$ lattice model with cubic symmetry in three dimensions: RG-flow and first order phase transitions
• Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
• Monomer-dimer tensor-network basis for qubit-regularized lattice gauge theories
• Charged critical behavior and nonperturbative continuum limit of three-dimensional lattice SU($N_c$) gauge Higgs models
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Corrections to scaling in the 3D Ising model: a comparison between MC and MCRG results
• Finite-Size Scaling at fixed Renormalization-Group invariant
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models
• Derivation of the critical point scaling hypothesis using thermodynamics only
• Validity of Harris criterion for two-dimensional quantum spin systems with quenched disorder
• Properties of the $\epsilon$-Expansion, Lagrange Inversion and Associahedra and the $O(1)$ Model
• Possibility of a continuous phase transition in random-anisotropy magnets with ageneric random-axis distribution
• Quasiparticle Relaxation Dynamics in URu${}_{2-x}$Fe${}_x$Si${}_2$ Single Crystals
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Exact solution for the order parameter profiles and the Casimir force in ${}^4$He superfluid films in an effective field theory
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Finite-size scaling of the magnetization probability density for the critical Ising model in slab geometry
• Stability of the Griffiths phase in the 2D Potts model with correlated disorder
• Critical Casimir forces between planar and crenellated surfaces
• Small clusters Renormalization Group in 2D and 3D Ising and BEG models with ferro, antiferro and quenched disordered magnetic interactions
• Universal Amplitude Ratios in the Ising Model in Three Dimensions
• Improvement of Monte Carlo estimates with covariance-optimized finite-size scaling at fixed phenomenological coupling
• Corrections to scaling in multicomponent polymer solutions
• Model C critical dynamics of random anisotropy magnets
• Muon spin relaxation study of LaTiO3 and YTiO3
• Thermodynamics of two lattice ice models in three dimensions
• Critical sound attenuation in a diluted Ising system
• A new class of short distance universal amplitude ratios
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Universal scaling of three-dimensional dimerized quantum antiferromagnets on bipartite lattices
• Classifying irreducible fixed points of five scalar fields in perturbation theory
• Finding the Dominant Zero of the Energy Probability Distribution
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Spin models in three dimensions: Adaptive lattice spacing
• On the new universality class in structurally disordered $n$-vector model with long-range interactions
• Effective and asymptotic criticality of structurally disordered magnets
• New critical behavior in unconventional ferromagnetic superconductors
• On the occurrence of Berezinskii-Kosterlitz-Thouless behavior in highly anisotropic cuprate superconductors
• Magnetic field induced 3D to 1D crossover in Sr0:9La0:1CuO2
• Critical dynamics in trapped particle systems
• Magnetic field induced 3D to 1D crossover in type II superconductors
• Interaction anisotropy and random impurities effects on the critical behaviour of ferromagnets
• $F_4$ symmetric ${\varphi }^3$ theory at four loops
• On the six-loop scaling dimensions of the $({\varphi }^2{)}^n$ operators in $d=3$
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
• Dissipative dynamics of topological defects in frustrated Heisenberg spin systems
• Percolation of systems having hyperuniformity or giant number-fluctuations
• Polymer models with optimal good-solvent behavior
• Small numerators canceling small denominators of the high-temperature scaling variables: a systematic explanation in arbitrary dimensions
• Universality in nontrivial continuum limits: a model calculation
• Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties
• Exact solution of the three-dimensional (3D) Z2 lattice gauge theory
• Evidence of Coulomb liquid phase in few-electron droplets
• Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry
• Hyperscaling violation in Ising Spin Glasses
• Equilibriumlike extension of the invaded cluster algorithm
• Unconventional minimal subtraction and Callan-Symanzik methods for Lorentz-violating scalar field theories at all loop orders
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
• Describing phase transitions in field theory by self-similar approximants
• Finite-size corrections from the subleading magnetic scaling field for the Ising and Potts models in two dimensions
• Critical region of D-dimensional spins: Extension and analysis of the hierarchical reference theory
• Generalized belief propagation for the magnetization of the simple cubic Ising model
• Critical fluctuations in the spin-orbit Mott insulator Sr${}_3$Ir${}_2$O${}_7$
• Two-loop Feynman integrals for ${\varphi }^4$ theory with long-range correlated disorder
• Fast algorithm for topologically disordered lattices with constant coordination number
• Dynamical generation of a gauge symmetry in the Double-Exchange model
• Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
• Universality in the partially anisotropic three-dimensional Ising lattice
• Exploring percolation phase transition in the three-dimensional Ising model with machine learning
• A compared analysis of the susceptibility in the O(N) theory
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Anisotropic XY antiferromagnets in a field
• Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in $O(N)$ models
• Probing the two-scale-factor universality hypothesis by exact rotation symmetry-breaking mechanism
• Critical exponents and amplitude ratios of scalar nonextensive $q$-field theories
• Charged and neutral fixed points in the O(N)+O(N)-model with Abelian gauge fields
• Failures of meso-phase hypothesis near vapor-liquid critical point
• Nucleation dynamics in 2d cylindrical Ising models and chemotaxis
• Universal effective couplings of the three-dimensional $n$-vector model and field theory
• Self-consistent renormalization group approach to continuous phase transitions in alloys. Application to ordering in $\beta$-brass
• Universal Routing of Light via Optical Thermodynamics
• Cancellation of IR Divergences in 3d Abelian Gauge Theories
• Solutions for correlations along the coexistence curve and at the critical point of a kagomé lattice gas with three-particle interactions
• A Fuzzy Sphere Journey in Critical Phenomena
• Surface critical behavior of the three-dimensional O(3) model
• Competing magnetic phases in the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ probed by NMR
• Critical Behavior of the Three-Dimensional Random Anisotropy Heisenberg Model
• Model C critical dynamics of disordered magnets
• Critical Behaviour of Structure Factors at a Quantum Phase Transition
• Critical behavior of two-dimensional fully frustrated XY systems
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Sensitivity of the thermodynamics of two-dimensional systems towards the topological classes of their surfaces
• Interfacial Tensions near Critical Endpoints: Experimental Checks of EdGF Theory
• Probing superconductivity in MgB2 confined to magnetic field tuned cylinders by means of critical fluctuations
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Entanglement in the Quantum Spherical Model -- a Review
• 3D-xy critical properties of YBa2Cu4O8 and magnetic field induced 3D to 1D crossover
• Antiferromagnetic order in a layered magnetic topological insulator MnBi${}_2$Se${}_4$ probed by resonant soft x-ray scattering
• Continuous Dimer Angles on the Silicon Surface: Critical Properties and the Kibble-Zurek Mechanism
• Quasi-two-dimensional magnetism and antiferromagnetic ground state in Li${}_2$FeSiO${}_4$
• Boundary operator product expansion coefficients of the three-dimensional Ising universality class
• Frustrated Heisenberg Antiferromagnets between d=2 and d=3
• Nonperturbative treatment of a quenched Langevin field theory
• A muon-spin relaxation study of BiMnO3
• Non-trivial critical behavior at the magnetic transitions: A case study of Sm${}_7$Pd${}_3$
• The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere
• Critical Phenomena at the Antiferromagnetic Phase Transition of Azurite
• Dynamic crossover in the persistence probability of manifolds at criticality
• Critical behaviour of a 3D Ising-like system in the ρ^6 model approximation: Role of the correction for the potential averaging
• External field dependence of the correlation lengths in the three-dimensional O(4) model
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model
• Mean-field description of multicomponent exciton-polariton superfluids
• The Operator Product Expansion for Radial Lattice Quantization of 3D ${\varphi }^4$ Theory
• Critical pairing fluctuations in the normal state of a superconductor: pseudogap and quasi-particle damping
• Entanglement gap in 1D long-range quantum spherical models
• Scaling study of diffusion in dynamic crowded spaces
• Influence of conformal symmetry on the amplitude ratios for O($N$) models
• Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
• Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model
• Spontaneous layering and power-law order in the three-dimensional fully-packed hard-plate lattice gas
• Corrections to scaling in the 2D phi^4 model: Monte Carlo results and some related problems
• Long-range influence of a pump on a critical fluid
• Scaling, Fractal Dynamics and Critical Exponents: Application in a non-integer dimensional Ising model
• Critical Exponents of the O(N)-symmetric ${\varphi }^4$ Model from the \boldmath{\large{ ${\epsilon }^7$}} Hypergeometric-Meijer Resummation
• Incommensurate magnetic order arising from frustrated interchain interactions in the spin-1/2 chain compound AgCuVO${}_4$
• The $\xi /{\xi }_{2nd}$ ratio as a test for Effective Polyakov Loop Actions
• Emergent universal critical behavior of the 2D $N$-color Ashkin-Teller model in the presence of correlated disorder
• Universal scaling dimensions for highly irrelevant operators in the Local Potential Approximation
• Variations of the crossover and first-order phase transition curve in modeling the QCD equation of state
• Emergence of the 3D diluted Ising model universality class in a mixture of two magnets
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• d=2 transverse-field Ising model under the screw-boundary condition: An optimization of the screw pitch
• Phase structure of heavy dense lattice QCD and the three-state Potts model
• Universality of the complete-graph Potts model with $0<q\le 2$
• Critical magnetic fluctuations in the layered ruthenates Ca${}_2$RuO${}_4$ and Ca${}_3$Ru${}_2$O${}_7$
• Relevant Analytic Spontaneous Magnetization Relation for the Face-Centered-Cubic Ising Lattice
• Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains
• An ab initio Calculation of the Universal Equation of State for the O(N) Model
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Note on surface defects in multiscalar critical models
• Implications of the isotope effects on the magnetization, magnetic torque and susceptibility
• Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda {\varphi }^4$ scalar field theory
• Phase transitions and finite-size effects in integrable virial statistical models
• Insight into magnetocaloric properties of Mn2Nb molecular magnet by relaxation calorimetry: A comprehensive case study
• The scaling equation of state of the three-dimensional O(N) universality class: N >= 4
• Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations
• Partitioning Law of Polymer Chains into Flexible Polymer Networks
• Phase ordering induced by defects in chaotic bistable media
• Estimates of critical quantities from an expansion in mass: Ising model on the simple cubic lattice
• Approaching the Continuum Limit of the Deconfinement Critical Point for $N_{\text{f}}=2$ Staggered Fermions
• On the evaluation of the improvement parameter in the lattice Hamiltonian approach to critical phenomena
• Are there any Landau poles in wavelet-based quantum field theory?
• On the nature of the QCD chiral phase transition with imaginary chemical potential
• ${\varphi }^4$ Theory Hamiltonian for Fluids: Application to the surface tension near the critical point
• NLO critical exponents of O($N$) lambda ${\varphi }^4$ scalar field theories in curved spacetime
• Scaling behavior in interacting systems: joint effect of anisotropy and compressibility
• Finite-size behavior of higher-order cumulant ratios near criticality in two-dimensional Potts models
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
• Quantum Supercritical Crossover with Dynamical Singularity
• Critical behavior and evidence of dimensional crossover in quasi-two-dimensional Li${}_2$FeSiO${}_4$
• Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension $d=3$
• New Methods for Critical Analysis: Revealing the Simultaneous Existence of Universality Classes in Nontrivial Magnetic Systems
• Two-Loop Crossover Scaling Functions of the O(N) Model
• The interface tension in the improved Blume-Capel model
• Hamiltonian dynamics of classical spins
• A Monte Carlo study of critical properties of strongly diluted magnetic semiconductor (Ga,Mn)As
• Phase Transitions for Cuboc Orders in Stacked Kagome Heisenberg Systems
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model
• Functional renormalization group equations for antisymmetric tensor field models at finite temperature
• Functional renormalization group approach to phonon modified criticality: anomalous dimension of strain and non-analytic corrections to Hooke's law
• Thermodynamic derivation of scaling at the liquid-vapor critical point
• The Cubic Fixed Point at Large $N$
• Stability of universal properties against perturbations of the Markov Chain Monte Carlo algorithm
• NMR study of the spin correlations in the $S=1$ armchair chain Ni${}_2$NbBO${}_6$
• Heat Capacity and the Violation of Scaling Laws in Gravitational System
• Lack of self-averaging of the critical internal energy in a weakly-disordered Baxter model
• Exact renormalization group equation for lattice Ginzburg-Landau models adapted to the solution in the local potential approximation
• Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields
• Observation of universal non-Gaussian statistics of the order parameter across a continuous phase transition
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models
• Magnetic field induced finite size effect in type-II superconductors
• Analytic average magnetization expression for the body centered cubic Ising lattice