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Properties of the q -state clock model for q=4, 5, and 6
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1016/0021-9614(75)90197-4openalex-snapshot
Phase transitions and critical phenomena
inferredcites →https://doi.org/10.1016/0370-1573(81)90099-5openalex-snapshot
The phases of two-dimensional matter, their transitions, and solid-state stability: A perspective via computer simulation of simple atomic systems
inferredcites →https://doi.org/10.1016/0550-3213(80)90472-1openalex-snapshot
Disorder variables and para-fermions in two-dimensional statistical mechanics
inferredcites →https://doi.org/10.1016/0550-3213(80)90473-3openalex-snapshot
A physical picture for the phase transitions in ZN symmetric models
inferredcites →https://doi.org/10.1088/0022-3719/6/7/010openalex-snapshot
Ordering, metastability and phase transitions in two-dimensional systems
inferredcites →https://doi.org/10.1088/0305-4470/13/4/037openalex-snapshot
General discrete planar models in two dimensions: Duality properties and phase diagrams
inferredcites →https://doi.org/10.1088/0305-4470/13/9/007openalex-snapshot
Phase diagram of the Z(5) model on a square lattice
inferredcites →https://doi.org/10.1103/physrevb.16.1217openalex-snapshot
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
inferredcites →https://doi.org/10.1103/physrevb.19.2457openalex-snapshot
Dislocation-mediated melting in two dimensions
inferredcites →https://doi.org/10.1103/physrevb.20.3761openalex-snapshot
Monte Carlo study of the planar spin model
inferredcites →https://doi.org/10.1103/physrevb.22.4462openalex-snapshot
Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensions
inferredcites →https://doi.org/10.1103/physrevb.23.1362openalex-snapshot
Phase diagrams of two-dimensional Z(q) models
inferredcites →https://doi.org/10.1103/physrevb.25.4893openalex-snapshot
Calculation of the dynamical exponent z for the three-state Potts model
inferredcites →https://doi.org/10.1103/physrevb.25.6778openalex-snapshot
Monte Carlo study of melting in two dimensions
inferredcites →https://doi.org/10.1103/physrevd.19.3698openalex-snapshot
Phase structure of discrete Abelian spin and gauge systems
inferredcites →https://doi.org/10.1103/physrevlett.41.121openalex-snapshot
Theory of Two-Dimensional Melting
inferredcites →https://doi.org/10.1103/physrevlett.41.519openalex-snapshot
Theory of Two-Dimensional Melting.
inferredcites →https://doi.org/10.1103/physrevlett.46.1417openalex-snapshot
Dynamic Monte Carlo Renormalization Group
inferredcites →https://doi.org/10.1103/revmodphys.52.453openalex-snapshot
Duality in field theory and statistical systems
inferredcites →https://doi.org/10.1143/ptp.37.770openalex-snapshot
Solution of Potts Model for Phase Transition
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4636756openalex-extracted
Phase Transitions and Thermodynamic Properties of the Clock Model with Q=5 on a Triangular Lattice with the Second Nearest-Neighbor Interactions
inferred← citeshttps://doi.org/10.1007/978-3-642-51703-7_3openalex-snapshot
Monte Carlo Studies of Critical and Multicritical Phenomena
inferred← citeshttps://doi.org/10.1007/978-3-642-84878-0_6openalex-snapshot
Critical Phenomena of Ising-Like Heisenberg Antiferromagnets on the Hexagonal Lattices
inferred← citeshttps://doi.org/10.1007/978-3-642-96788-7_3openalex-snapshot
Monte Carlo Studies of Critical and Multicritical Phenomena
inferred← citeshttps://doi.org/10.1007/bf01009455openalex-snapshot
The dynamics of random interfaces in phase transitions
inferred← citeshttps://doi.org/10.1007/bf02450675openalex-snapshot
A correlation function renormalization group analysis of the ferromagnetic transition in theZ n spin model
inferred← citeshttps://doi.org/10.1007/s10955-011-0322-8openalex-snapshot
Series Analysis of a Kosterlitz-Thouless Transition: The 6-State Planar Potts Model
inferred← citeshttps://doi.org/10.1016/0021-9991(85)90106-8openalex-snapshot
The Monte Carlo method for the study of phase transitions: A review of some recent progress
inferred← citeshttps://doi.org/10.1016/0375-9601(90)90463-xopenalex-snapshot
Monte Carlo simulation of the q-state clock model on a two-dimensional random lattice
inferred← citeshttps://doi.org/10.1016/0375-9601(93)90333-uopenalex-snapshot
Phase structure of clock spin models with dipolar and quadrupolar interactions
inferred← citeshttps://doi.org/10.1016/0550-3213(88)90599-8openalex-snapshot
Numerical investigation of two-dimensional conformal lattice field theories
inferred← citeshttps://doi.org/10.1016/j.jmmm.2003.12.052openalex-snapshot
Breaking-symmetry fields in two-dimensional planar models
inferred← citeshttps://doi.org/10.1016/j.nuclphysb.2026.117511openalex-snapshot
Monte Carlo studies of the two-dimensional XY model with four-fold anisotropy
inferred← citeshttps://doi.org/10.1016/j.physa.2005.03.051openalex-snapshot
A six-state clock-like phase transition in a coupled XY model
inferred← citeshttps://doi.org/10.1016/j.physa.2014.10.093openalex-snapshot
Thermodynamic model of social influence on two-dimensional square lattice: Case for two features
inferred← citeshttps://doi.org/10.1016/j.physa.2025.130608openalex-snapshot
Phase transitions and thermodynamic properties of the antiferromagnetic q=5 clock model on a triangular lattice with second-nearest-neighbor interactions
inferred← citeshttps://doi.org/10.1016/j.physa.2025.131006openalex-snapshot
Anomalous thermodynamics of the ferromagnetic p -state clock model on the kagome lattice: An exact analysis within recursive lattice approach
inferred← citeshttps://doi.org/10.1016/j.physleta.2018.07.039openalex-snapshot
Multiple phase transitions in the XY model with nematic-like couplings
inferred← citeshttps://doi.org/10.1016/j.physleta.2026.131730openalex-snapshot
Phase diagram in the two-dimensional generalized 5-state clock model
inferred← citeshttps://doi.org/10.1016/j.rinp.2025.108474openalex-snapshot
Critical properties in the two-dimensional XY model with four-fold and eight-fold crystal fields
inferred← citeshttps://doi.org/10.1016/s0065-227x(97)89631-1openalex-snapshot
Criticality found in a model for orientational ordering of protein arrays
inferred← citeshttps://doi.org/10.1016/s0304-8853(10)80105-2openalex-snapshot
Phase transitions of the ferromagnetic 6-clock model on the square lattice
inferred← citeshttps://doi.org/10.1016/s0749-6036(85)80025-2openalex-snapshot
Phase transitions in diatomic molecular monolayers
inferred← citeshttps://doi.org/10.1038/s41563-026-02516-7openalex-snapshot
Six-state clock physics in an atomically thin antiferromagnet
inferred← citeshttps://doi.org/10.1038/s42005-022-00874-7openalex-snapshot
Combinatorial optimization with photonics-inspired clock models
inferred← citeshttps://doi.org/10.1063/1.333684openalex-snapshot
Phase transitions in the six-state vector Potts model in two dimensions
inferred← citeshttps://doi.org/10.1063/1.4754821openalex-snapshot
Critical behavior of two-dimensional spin systems under the random-bond six-state clock model
inferred← citeshttps://doi.org/10.1088/0022-3719/16/28/002openalex-snapshot
On the self-consistency of the one-parameter scaling theory of localisation
inferred← citeshttps://doi.org/10.1088/0256-307x/34/5/050503openalex-snapshot
Phase Transition of the q -State Clock Model: Duality and Tensor Renormalization
inferred← citeshttps://doi.org/10.1088/0256-307x/43/5/050704openalex-snapshot
Critical Density-Wave Vestigial Phases of Commensurate Pair Density Wave
inferred← citeshttps://doi.org/10.1088/0256-307x/9/1/014openalex-snapshot
On the Order of the Phase Transition in the Three-State Vector Potts Model on a Two-Dimensional Random Lattice
inferred← citeshttps://doi.org/10.1088/0305-4470/18/11/007openalex-snapshot
A discrete vector spin model
inferred← citeshttps://doi.org/10.1088/0305-4470/18/11/024openalex-snapshot
Monte Carlo study of the Z(5) model
inferred← citeshttps://doi.org/10.1088/0305-4470/24/1/033openalex-snapshot
Phase transitions of the 6-clock model in two dimensions
inferred← citeshttps://doi.org/10.1088/1367-2630/abb5f0openalex-snapshot
Entropy production at criticality in a nonequilibrium Potts model
inferred← citeshttps://doi.org/10.1088/1367-2630/add048openalex-snapshot
Tensor network finite-size scaling for two-dimensional 3-state clock model
inferred← citeshttps://doi.org/10.1088/1572-9494/ae1188openalex-snapshot
Pseudo transitions in the finite-size six-state clock model
inferred← citeshttps://doi.org/10.1088/1674-1056/27/8/080503openalex-snapshot
Phase transitions of the five-state clock model on the square lattice
inferred← citeshttps://doi.org/10.1088/1742-5468/2011/10/p10011openalex-snapshot
Mutual information in classical spin models
inferred← citeshttps://doi.org/10.1088/1742-5468/2014/11/p11022openalex-snapshot
DMRG study of the Berezinskii–Kosterlitz–Thouless transitions of the 2D five-state clock model
inferred← citeshttps://doi.org/10.1088/1742-6596/150/4/042200openalex-snapshot
Monte Carlo simulation of the one-dimensionalN-state clock model with long range inverse square interaction
inferred← citeshttps://doi.org/10.1088/1751-8113/40/31/r01openalex-snapshot
Nonequilibrium relaxation method
inferred← citeshttps://doi.org/10.1088/1751-8121/ab226dopenalex-snapshot
Berezinskii–Kosterlitz–Thouless transition on regular and Villain types of q-state clock models
inferred← citeshttps://doi.org/10.1103/6jpk-yj56openalex-snapshot
Two-Dimensional J 1 − J 2 Clock Model: Enhanced Symmetries, Emergent Orders, and Landau-Incompatible Transitions
inferred← citeshttps://doi.org/10.1103/physrevb.101.014305openalex-snapshot
Nonequilibrium renormalization group fixed points of the quantum clock chain and the quantum Potts chain
inferred← citeshttps://doi.org/10.1103/physrevb.103.014435openalex-snapshot
Lattice vibration as a knob on exotic quantum criticality
inferred← citeshttps://doi.org/10.1103/physrevb.103.054418openalex-snapshot
Unconventional U(1) to Zq crossover in quantum and classical q -state clock models
inferred← citeshttps://doi.org/10.1103/physrevb.104.075114openalex-snapshot
Machine learning detection of Berezinskii-Kosterlitz-Thouless transitions in q -state clock models
inferred← citeshttps://doi.org/10.1103/physrevb.104.184432openalex-snapshot
Replica symmetry breaking in the RKKY skyrmion-crystal system
inferred← citeshttps://doi.org/10.1103/physrevb.108.134422openalex-snapshot
Berezinskii-Kosterlitz-Thouless phase transitions in a kagome spin ice by a quantifying Monte Carlo process: Distribution of Hamming distances
inferred← citeshttps://doi.org/10.1103/physrevb.110.195108openalex-snapshot
Probing phase transitions with correlations in configuration space
inferred← citeshttps://doi.org/10.1103/physrevb.111.094212openalex-snapshot
Phases and phase transitions of the disordered quantum clock model
inferred← citeshttps://doi.org/10.1103/physrevb.28.2883openalex-snapshot
Floating phase in the chiral Potts model. A Monte Carlo renormalization-group analysis
inferred← citeshttps://doi.org/10.1103/physrevb.28.5371openalex-snapshot
Universal dynamical scaling in the clock model
inferred← citeshttps://doi.org/10.1103/physrevb.30.3866openalex-snapshot
Monte Carlo calculation of renormalized coupling parameters. I. d=2 Ising model
inferred← citeshttps://doi.org/10.1103/physrevb.30.3875openalex-snapshot
Monte Carlo calculation of renormalized coupling parameters. II. d=3 Ising model
inferred← citeshttps://doi.org/10.1103/physrevb.30.6535openalex-snapshot
Vortex effects on domain growth: The clock model
inferred← citeshttps://doi.org/10.1103/physrevb.31.3040openalex-snapshot
Domain growth in the clock model
inferred← citeshttps://doi.org/10.1103/physrevb.33.437openalex-snapshot
Critical behavior of the six-state clock model in two dimensions
inferred← citeshttps://doi.org/10.1103/physrevb.34.325openalex-snapshot
Phase diagram of the three-state chiral clock model studied by Monte Carlo renormalization-group calculations
inferred← citeshttps://doi.org/10.1103/physrevb.35.7161openalex-snapshot
Monte Carlo renormalization-group study of the discrete Gaussian model
inferred← citeshttps://doi.org/10.1103/physrevb.40.9070openalex-snapshot
Dynamics of ordering in highly degenerate models with anisotropic grain-boundary potential: Effects of temperature and vortex formation
inferred← citeshttps://doi.org/10.1103/physrevb.44.9348openalex-snapshot
Magnetic anisotropies and exchange coupling in ultrathin fcc Co(001) structures
inferred← citeshttps://doi.org/10.1103/physrevb.47.8748openalex-snapshot
Thickness and temperature dependence of magnetic anisotropies in ultrathin fcc Co(001) structures
inferred← citeshttps://doi.org/10.1103/physrevb.48.1291openalex-snapshot
Critical behavior of theq-state clock model in three dimensions
inferred← citeshttps://doi.org/10.1103/physrevb.49.12596openalex-snapshot
Path-integral Monte Carlo study of a model two-dimensional quantum paraelectric
inferred← citeshttps://doi.org/10.1103/physrevb.54.5873openalex-snapshot
Four-state planar model of the Si(111) surface reconstruction
inferred← citeshttps://doi.org/10.1103/physrevb.64.224206openalex-snapshot
Monte Carlo study of a bond-diluted q -state clock model: A simple representation for the glass transition
inferred← citeshttps://doi.org/10.1103/physrevb.69.174407openalex-snapshot
Monte Carlo simulation of a planar rotator model with symmetry-breaking fields
inferred← citeshttps://doi.org/10.1103/physrevb.70.174447openalex-snapshot
Monte Carlo simulation for square planar model with a small fourfold symmetry-breaking field
inferred← citeshttps://doi.org/10.1103/physrevb.82.144103openalex-snapshot
Scaled free energies, power-law potentials, strain pseudospins, and quasiuniversality for first-order structural transitions
inferred← citeshttps://doi.org/10.1103/physrevb.91.184407openalex-snapshot
Classical dipoles on the kagome lattice
inferred← citeshttps://doi.org/10.1103/physrevb.94.104402openalex-snapshot
Emergent O( n ) symmetry in a series of three-dimensional Potts models
inferred← citeshttps://doi.org/10.1103/physrevd.104.054505openalex-snapshot
Clock model interpolation and symmetry breaking in O(2) models
inferred← citeshttps://doi.org/10.1103/physrevd.109.054514openalex-snapshot
Symmetry breaking in an extended O(2) model
inferred← citeshttps://doi.org/10.1103/physreve.101.012124openalex-snapshot
Logarithmic finite-size scaling correction to the leading Fisher zeros in the p -state clock model: A higher-order tensor renormalization group study
inferred← citeshttps://doi.org/10.1103/physreve.101.032128openalex-snapshot
Ordering kinetics in a q -state random-bond clock model: Role of vortices and interfaces
inferred← citeshttps://doi.org/10.1103/physreve.101.060105openalex-snapshot
Critical properties of the two-dimensional q -state clock model
inferred← citeshttps://doi.org/10.1103/physreve.101.062111openalex-snapshot
Finite- m scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model
inferred← citeshttps://doi.org/10.1103/physreve.102.042132openalex-snapshot
Phase transitions in the classical exchange-anisotropic Kitaev-Heisenberg model
inferred← citeshttps://doi.org/10.1103/physreve.106.024106openalex-snapshot
Monte Carlo study of duality and the Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional q -state clock model in flow representations
inferred← citeshttps://doi.org/10.1103/physreve.106.034138openalex-snapshot
Binder ratio in the two-dimensional q -state clock model
inferred← citeshttps://doi.org/10.1103/physreve.108.014133openalex-snapshot
Tensor renormalization group study of orientational ordering in simple models of adsorption monolayers
inferred← citeshttps://doi.org/10.1103/physreve.109.014105openalex-snapshot
Nonequilibrium phase transitions in a Brownian p -state clock model
inferred← citeshttps://doi.org/10.1103/physreve.110.l062106openalex-snapshot
Emergent Nambu-Goldstone phase of Z q model from dynamics
inferred← citeshttps://doi.org/10.1103/physreve.111.034124openalex-snapshot
Dynamical phase transitions in the nonreciprocal Ising model
inferred← citeshttps://doi.org/10.1103/physreve.111.054125openalex-snapshot
Phase transitions in the q -state clock model
inferred← citeshttps://doi.org/10.1103/physreve.53.3333openalex-snapshot
Universal short-time dynamics in the Kosterlitz-Thouless phase
inferred← citeshttps://doi.org/10.1103/physreve.67.026702openalex-snapshot
Nonequilibrium relaxation analysis of Kosterlitz-Thouless phase transition
inferred← citeshttps://doi.org/10.1103/physreve.71.046112openalex-snapshot
Finite-size-scaling analysis of the XY universality class between two and three dimensions: An application of Novotny’s transfer-matrix method
inferred← citeshttps://doi.org/10.1103/physreve.80.042103openalex-snapshot
Six-state clock model on the square lattice: Fisher zero approach with Wang-Landau sampling
inferred← citeshttps://doi.org/10.1103/physreve.81.031130openalex-snapshot
Two-dimensional XY and clock models studied via the dynamics generated by rough surfaces
inferred← citeshttps://doi.org/10.1103/physreve.88.012125openalex-snapshot
Residual discrete symmetry of the five-state clock model
inferred← citeshttps://doi.org/10.1103/physreve.90.042124openalex-snapshot
Phase transition properties of the Bell-Lavis model
inferred← citeshttps://doi.org/10.1103/physreve.96.042101openalex-snapshot
Evolutionary games combining two or three pair coordinations on a square lattice
inferred← citeshttps://doi.org/10.1103/physreve.96.052130openalex-snapshot
Partition function zeros of the p -state clock model in the complex temperature plane
inferred← citeshttps://doi.org/10.1103/physreve.96.062112openalex-snapshot
Critical behavior of the two-dimensional icosahedron model
inferred← citeshttps://doi.org/10.1103/physreve.98.032109openalex-snapshot
Ordering kinetics in the q -state clock model: Scaling properties and growth laws
inferred← citeshttps://doi.org/10.1103/physreve.98.062109openalex-snapshot
Universality class of a displacive structural phase transition in two dimensions
inferred← citeshttps://doi.org/10.1103/physreve.99.043308openalex-snapshot
Confusion scheme in machine learning detects double phase transitions and quasi-long-range order
inferred← citeshttps://doi.org/10.1103/physrevlett.115.127204openalex-snapshot
Melting of Three-Sublattice Order in Easy-Axis Antiferromagnets on Triangular and Kagome Lattices
inferred← citeshttps://doi.org/10.1103/physrevlett.115.200601openalex-snapshot
Critical Exponents Can Be Different on the Two Sides of a Transition: A Generic Mechanism
inferred← citeshttps://doi.org/10.1103/physrevlett.128.208004openalex-snapshot
Susceptibility of Polar Flocks to Spatial Anisotropy
inferred← citeshttps://doi.org/10.1103/physrevlett.133.136002openalex-snapshot
Nematic Superconductivity and Its Critical Vestigial Phases in the Quasicrystal
inferred← citeshttps://doi.org/10.1103/physrevlett.67.1646openalex-snapshot
Magnetic phase transition of ultrathin Fe films on Ag(111)
inferred← citeshttps://doi.org/10.1103/physrevresearch.4.023159openalex-snapshot
Tensor-network renormalization approach to the q -state clock model
inferred← citeshttps://doi.org/10.1117/1.ap.7.4.046001openalex-snapshot
Spin Hamiltonian in the modulated momenta of light
inferred← citeshttps://doi.org/10.1140/epjb/e2018-90353-8openalex-snapshot
Two-step melting of three-sublattice order in S = 1 easy-axis triangular lattice antiferromagnets
inferred← citeshttps://doi.org/10.1140/epjb/s10051-025-01091-1openalex-snapshot
Compensation in trilayered anisotropic 6-state clock model
inferred← citeshttps://doi.org/10.1140/epjp/s13360-023-04741-4openalex-snapshot
Detection of Berezinskii–Kosterlitz–Thouless transitions for the two-dimensional q-state clock models with neural networks
inferred← citeshttps://doi.org/10.1143/jpsj.54.1005openalex-snapshot
Suppressed Frustration Models and Related Models in Two Dimensions
inferred← citeshttps://doi.org/10.1143/jpsj.54.2955openalex-snapshot
\(\sqrt{3}\times\sqrt{3}\) Structure on the Triangular Lattice
inferred← citeshttps://doi.org/10.1143/jpsj.64.1293openalex-snapshot
Monte Carlo Study of the Ferromagnetic Six-State Clock Model on the Triangular Lattice
inferred← citeshttps://doi.org/10.1143/jpsj.66.3411openalex-snapshot
Nature of the Ordered Phase and the Critical Properties of the Three Dimensional Six-State Clock Model
inferred← citeshttps://doi.org/10.1360/sspma-2025-0549openalex-snapshot
Characterizing phase transitions from statistics of configuration-space distances
inferred← citeshttps://doi.org/10.22144/ctu.jvn.2022.113openalex-snapshot
Nghiên cứu chuyển pha trong mô hình XYh4 bằng phương pháp mô phỏng monte carlo
inferred← citeshttps://doi.org/10.3390/e27010011openalex-snapshot
Magnetocaloric Effect for a Q-Clock-Type System
inferred← citeshttps://doi.org/10.48550/arxiv.1303.4356openalex-snapshot
Mutual information in interacting spin systems
inferred← citeshttps://doi.org/10.7566/jpsj.94.031003openalex-snapshot
Machine-Learning Detection of the Berezinskii–Kosterlitz–Thouless Transitions
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