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Phase structure of discrete Abelian spin and gauge systems

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01646487openalex-snapshot
There are no Goldstone bosons in two dimensions
inferredcites →https://doi.org/10.1007/bf01646537openalex-snapshot
General formulation of Griffiths' inequalities
inferredcites →https://doi.org/10.1016/0003-4916(78)90252-xopenalex-snapshot
Mandelstam-'t Hooft duality in abelian lattice models
inferredcites →https://doi.org/10.1016/0550-3213(77)90129-8openalex-snapshot
Phase transitions in Abelian lattice gauge theories
inferredcites →https://doi.org/10.1016/0550-3213(78)90153-0openalex-snapshot
On the phase transition towards permanent quark confinement
inferredcites →https://doi.org/10.1051/jphys:01975003606058100openalex-snapshot
Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet
inferredcites →https://doi.org/10.1063/1.1665530openalex-snapshot
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
inferredcites →https://doi.org/10.1063/1.1705316openalex-snapshot
Absence of Ordering in Certain Classical Systems
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/10.1088/0022-3719/7/6/005openalex-snapshot
The critical properties of the two-dimensional xy model
inferredcites →https://doi.org/10.1088/0305-4470/11/7/027openalex-snapshot
Lattice Coulomb gas representations of two-dimensional problems
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.17.1340openalex-snapshot
Vortices and the low-temperature structure of the x−y model
inferredcites →https://doi.org/10.1103/physrevd.10.2445openalex-snapshot
Confinement of quarks
inferredcites →https://doi.org/10.1103/physrevd.11.2098openalex-snapshot
Gauge fields on a lattice. II. Gauge-invariant Ising model
inferredcites →https://doi.org/10.1103/physrevd.17.2637openalex-snapshot
Order and disorder in gauge systems and magnets
inferredcites →https://doi.org/10.1103/physrevd.19.3091openalex-snapshot
Strong-coupling expansions and phase diagrams for the O(2), O(3), and O(4) Heisenberg spin systems in two dimensions
inferredcites →https://doi.org/10.1103/physrevd.19.3715openalex-snapshot
Hamiltonian approach to Z(N) lattice gauge theories
inferredcites →https://doi.org/10.1103/physrevlett.38.501openalex-snapshot
Ordered Helium Films on Highly Uniform Graphite—Finite-Size Effects, Critical Parameters, and the Three-State Potts Model
inferredcites →https://doi.org/10.1103/physrevlett.39.55openalex-snapshot
Topological Excitations in U(1)-Invariant Theories

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Correlation length exponent of the 2-d Z(4) model using an exact method
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Criticality of the bond-diluted Z(4) ferromagnet on the square lattice
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Disorder, local order and asymptotic freedom in spin and lattice gauge theories
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Dynamical shifting of the critical point in 4D U(1) lattice gauge theory
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Massive and massless phases in self-dual spin models: Some exact results from the thermodynamic Bethe ansatz
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Field theoretic aspects of condensed matter physics: An overview
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Phase structure of 3D Z(N) lattice gauge theories at finite temperature: Large-N and continuum limits
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Phase transitions and thermodynamic properties of the antiferromagnetic q=5 clock model on a triangular lattice with second-nearest-neighbor interactions
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Competing anisotropies and phase transitions in the q-state clock model with a p-fold crystalline field
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Strong disorder RG approach of random systems
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Critical properties in the two-dimensional XY model with four-fold and eight-fold crystal fields
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Asymptotically free models and discrete non-Abelian groups
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Topological defects in gauge theories of open p-branes
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The hierarchy of fractional quantum Hall states and the Zp spin system
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Criticality in self-dual sine-Gordon models
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Phases of antisymmetric tensor field theories
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Duality in Josephson junction arrays
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Six-state clock physics in an atomically thin antiferromagnet
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Phase transitions in the six-state vector Potts model in two dimensions
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Limit theorems for spin systems with an Abelian discrete symmetry
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Tutorial on elastic interaction models for multistep spin-crossover transitions
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The bond-algebraic approach to dualities
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Twist as a Probe for Phase Structure
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Lattice field theories
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Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
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General discrete planar models in two dimensions: Duality properties and phase diagrams
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Duality and the phases of Z(N) spin systems
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Phase diagram of the Z(5) model on a square lattice
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Q-state Potts models in Hamiltonian field theory for Q⩾4 in (1+1) dimensions
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The phases of two-dimensional spin and four-dimensional gauge systems with Z(N) symmetry
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Spin-spin correlation function in the high-temperature Villain model
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Finite-lattice extrapolations for Z3and Zsmodels
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Three-state square lattice Potts antiferromagnet
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Magnetisations from finite-size scaling
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Massless phases for the Zpmodel on the Union Jack lattice
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Perturbation expansions of the axial next-nearest-neighbour Ising and asymmetric four-state clock models
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A renormalisation group technique for spin and gauge systems with topological excitations
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Z(N) generalisation of the Baxter-Wu model
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Series expansion analysis of corrections to scaling in the three-state Potts model
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General self-dual spin models in two dimensions
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Three-spin models in two dimensions: generalisations of the Baxter-Wu model
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Unusual phase properties of the ZN-symmetric quartet FCC model
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Migdal transformations of O(2)-symmetric spin Hamiltonians
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Gauge differential form theories on the lattice
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Phase diagram of the Z(4) model
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Corrections to finite-size scaling for quantum chains
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Phase diagrams for two-dimensional six- and eight-states spin systems
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Basis vector importance sampling for Hamiltonian lattice spectrum calculations
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Monte Carlo study of the Z(5) model
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The discrete cubic and chiral cubic spin systems in various dimensions and their large-N limits
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Corrections to scaling and self-duality in the restricted solid-on-solid model
inferred← citeshttps://doi.org/10.1088/0305-4470/19/17/007openalex-snapshot
Finite-size scaling and conformal invariance in a self-dual quantum Z(5) model
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Series expansion study of first- and second-order phase transitions in a model with multispin coupling
inferred← citeshttps://doi.org/10.1088/0305-4470/19/9/042openalex-snapshot
Phase diagram of the Z(4) ferromagnet in an anisotropic square lattice
inferred← citeshttps://doi.org/10.1088/0305-4470/20/10/001openalex-snapshot
Parafermions and surface exponents of self-dual Z(N) spin models from conformal invariance
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Mean-field-like variational and renormalisation group studies of (1+1)-dimensional spin models
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Critical properties of an S=1 multispin coupling Ising model
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The critical behaviour of self-dual Z(N) spin systems: finite-size scaling and conformal invariance
inferred← citeshttps://doi.org/10.1088/0305-4470/21/2/031openalex-snapshot
Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models
inferred← citeshttps://doi.org/10.1088/0305-4470/21/23/022openalex-snapshot
Exact finite lattice results for Znsymmetric spin models
inferred← citeshttps://doi.org/10.1088/0305-4470/22/13/040openalex-snapshot
Transfer matrix study of the chiral clock model in the Hamiltonian limit
inferred← citeshttps://doi.org/10.1088/0305-4470/22/13/046openalex-snapshot
Z(λ) model and flows: Subgraph break-collapse method
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Phase transitions of the 6-clock model in two dimensions
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Dynamical phase diagram of the two-dimensional p-state clock model
inferred← citeshttps://doi.org/10.1088/0305-4470/26/14/009openalex-snapshot
Phase diagram of gauge glasses
inferred← citeshttps://doi.org/10.1088/0305-4470/27/1/002openalex-snapshot
Low-temperature expansions and correlation functions of the Z3-chiral Potts model
inferred← citeshttps://doi.org/10.1088/0305-4470/27/18/017openalex-snapshot
A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta
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Correlation functions of the 2D sine-Gordon model
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The bond-dilutedZ(q) ferromagnetic model: criticality and break-collapse method
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On the phase diagram of the discrete Z6spin models
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Kosterlitz Thouless transition in three-state mixed Potts ferro antiferromagnets
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Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture
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Berezinskii–Kosterlitz–Thouless transitions in the six-state clock model
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On the short-distance structure of irrational non-commutative gauge theories
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Chiral and clock phases in twisted dipolar clusters
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Mapping all classical spin models to a lattice gauge theory
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Pseudo transitions in the finite-size six-state clock model
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Phase transitions of the five-state clock model on the square lattice
inferred← citeshttps://doi.org/10.1088/1742-5468/ab2905openalex-snapshot
Zeros of the 3-state Potts model partition function for the square lattice revisited *
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Discrete Abelian gauge theories for quantum simulations of QED
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Positive representations of a class of complex measures
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Berezinskii–Kosterlitz–Thouless transition on regular and Villain types of q-state clock models
inferred← citeshttps://doi.org/10.1088/1751-8121/acd156openalex-snapshot
Comprehensive studies on the universality of BKT transitions—machine-learning study, Monte Carlo simulation, and level-spectroscopy method
inferred← citeshttps://doi.org/10.1088/1751-8121/ada988openalex-snapshot
BKT transitions of the XY and six-state clock models on the various two-dimensional lattices
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
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Emergent Photons and Confinement: A Numerical Study on Z N Lattice Gauge Theory
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Arbitrary number of thermally induced phase transitions in different universality classes in X Y models with higher-order terms
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Duality as a feasible physical transformation for quantum simulation
inferred← citeshttps://doi.org/10.1103/physreva.88.023617openalex-snapshot
Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation
inferred← citeshttps://doi.org/10.1103/physrevb.100.094428openalex-snapshot
Phase transitions in the Zp and U(1) clock models
inferred← citeshttps://doi.org/10.1103/physrevb.100.125101openalex-snapshot
Topological phase, supercritical point, and emergent phenomena in an extended parafermion chain
inferred← citeshttps://doi.org/10.1103/physrevb.100.134414openalex-snapshot
Multistep spin-crossover transitions induced by the interplay between short- and long-range interactions with frustration on a triangular lattice
inferred← citeshttps://doi.org/10.1103/physrevb.101.165123openalex-snapshot
Cross derivative of the Gibbs free energy: A universal and efficient method for phase transitions in classical spin models
inferred← citeshttps://doi.org/10.1103/physrevb.103.035142openalex-snapshot
Nondiagonal anisotropic quantum Hall states
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.103.104407openalex-snapshot
From hard spheres to hard-core spins
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.104.165121openalex-snapshot
Subdimensional criticality: Condensation of lineons and planons in the X-cube model
inferred← citeshttps://doi.org/10.1103/physrevb.108.045134openalex-snapshot
Obstructions to gapped phases from noninvertible symmetries
inferred← citeshttps://doi.org/10.1103/physrevb.110.165133openalex-snapshot
Deep learning lattice gauge theories
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.110.224505openalex-snapshot
Walking behavior induced by PT -symmetry breaking in a non-Hermitian X Y model with clock anisotropy
inferred← citeshttps://doi.org/10.1103/physrevb.111.035129openalex-snapshot
Chiral spin liquid in a generalized Kitaev honeycomb model with Z 4 1-form symmetry
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.21.5312openalex-snapshot
Solid and fluid phases in smectic layers with tilted molecules
inferred← citeshttps://doi.org/10.1103/physrevb.22.3378openalex-snapshot
Weak-coupling series and the critical indices of Zp spin systems in two dimensions
inferred← citeshttps://doi.org/10.1103/physrevb.22.3443openalex-snapshot
Phase structure and dual properties of ZN -symmetric models on a triangular lattice
inferred← citeshttps://doi.org/10.1103/physrevb.23.1357openalex-snapshot
Finite-lattice Hamiltonian results for the phase structure of the Z(q) models and the q -state Potts models
inferred← citeshttps://doi.org/10.1103/physrevb.23.1362openalex-snapshot
Phase diagrams of two-dimensional Z(q) models
inferred← citeshttps://doi.org/10.1103/physrevb.23.2235openalex-snapshot
Relation between lattice and continuum theories of two-dimensional solids
inferred← citeshttps://doi.org/10.1103/physrevb.23.4698openalex-snapshot
Strong-coupling expansions for truncated Hamiltonian O(n) -spin systems
inferred← citeshttps://doi.org/10.1103/physrevb.24.313openalex-snapshot
Duality relations for models with quenched random interactions
inferred← citeshttps://doi.org/10.1103/physrevb.24.4008openalex-snapshot
Real-space renormalization-group study of the Z(5) model
inferred← citeshttps://doi.org/10.1103/physrevb.24.5128openalex-snapshot
Antiferromagnetic clock models in two dimensions
inferred← citeshttps://doi.org/10.1103/physrevb.26.2490openalex-snapshot
Critical fan in the antiferromagnetic three-state Potts model
inferred← citeshttps://doi.org/10.1103/physrevb.26.3910openalex-snapshot
Asymptotic symmetry: Enhancement and stability
inferred← citeshttps://doi.org/10.1103/physrevb.26.6201openalex-snapshot
Properties of the q -state clock model for q=4, 5, and 6
inferred← citeshttps://doi.org/10.1103/physrevb.27.3043openalex-snapshot
Z(4) model on the triangular lattice
inferred← citeshttps://doi.org/10.1103/physrevb.27.5604openalex-snapshot
Critical and multicritical behavior in a triangular-lattice-gas Ising model: Repulsive nearest-neighbor and attractive next-nearest-neighbor coupling
inferred← citeshttps://doi.org/10.1103/physrevb.27.6777openalex-snapshot
Phase transitions in centered-rectangular- and square-lattice-gas models
inferred← citeshttps://doi.org/10.1103/physrevb.28.6510openalex-snapshot
Specific-heat measurements and critical exponents of the ferroelastic phase transition in Pb3 (PO4)2 and Pb3(P1−xAsxO4)2
inferred← citeshttps://doi.org/10.1103/physrevb.31.266openalex-snapshot
String melting of the floating phase in antiferromagnetic clock models
inferred← citeshttps://doi.org/10.1103/physrevb.31.3040openalex-snapshot
Domain growth in the clock model
inferred← citeshttps://doi.org/10.1103/physrevb.32.6055openalex-snapshot
Z(4) model: Criticality and break-collapse method
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.33.4767openalex-snapshot
Critical behavior of coupledXYmodels
inferred← citeshttps://doi.org/10.1103/physrevb.39.4079openalex-snapshot
Critical properties of the Z(p)-symmetric spin models from an exact finite-lattice approach
inferred← citeshttps://doi.org/10.1103/physrevb.42.8157openalex-snapshot
Critical properties of a general class of Z(5)-symmetric spin models
inferred← citeshttps://doi.org/10.1103/physrevb.43.5307openalex-snapshot
Charge and vortex dynamics in arrays of tunnel junctions
inferred← citeshttps://doi.org/10.1103/physrevb.44.390openalex-snapshot
Critical bifurcation point of theopenZ(5)-symmetric spin model
inferred← citeshttps://doi.org/10.1103/physrevb.44.9700openalex-snapshot
Zeros of the partition function for the two-dimensional Z5 -symmetric spin model
inferred← citeshttps://doi.org/10.1103/physrevb.45.1013openalex-snapshot
Testing weak first-order transitions in the two-dimensional Z5 -symmetric spin model
inferred← citeshttps://doi.org/10.1103/physrevb.46.3247openalex-snapshot
Phase transitions in classical two-dimensional lattice Coulomb gases
inferred← citeshttps://doi.org/10.1103/physrevb.49.12881openalex-snapshot
Three-state Potts model on a triangular lattice
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.66.184410openalex-snapshot
Critical behavior of the two-dimensionalN-component Landau-Ginzburg Hamiltonian with cubic anisotropy
inferred← citeshttps://doi.org/10.1103/physrevb.75.224416openalex-snapshot
Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
inferred← citeshttps://doi.org/10.1103/physrevb.83.115134openalex-snapshot
Criticality of compact and noncompact quantum dissipative Z4 models in (1+1) dimensions
inferred← citeshttps://doi.org/10.1103/physrevb.85.214302openalex-snapshot
Quantum criticality in spin chains with non-Ohmic dissipation
inferred← citeshttps://doi.org/10.1103/physrevb.86.195126openalex-snapshot
Superconducting proximity effect on the edge of fractional topological insulators
inferred← citeshttps://doi.org/10.1103/physrevb.88.085115openalex-snapshot
Topological phases in gapped edges of fractionalized systems
inferred← citeshttps://doi.org/10.1103/physrevb.88.104427openalex-snapshot
Response to a twist in systems with Z p symmetry: The two-dimensional p -state clock model
inferred← citeshttps://doi.org/10.1103/physrevb.88.235120openalex-snapshot
Phase transitions in three-dimensional topological lattice models with surface anyons
inferred← citeshttps://doi.org/10.1103/physrevb.92.184404openalex-snapshot
Termination of the Berezinskii-Kosterlitz-Thouless phase with a new critical universality in spin-crossover systems
inferred← citeshttps://doi.org/10.1103/physrevb.94.125103openalex-snapshot
Parafermionic phases with symmetry breaking and topological order
inferred← citeshttps://doi.org/10.1103/physrevb.94.184434openalex-snapshot
Anomalous finite-size effect due to quasidegenerate phases in triangular antiferromagnets with long-range interactions and mapping to the generalized six-state clock model
inferred← citeshttps://doi.org/10.1103/physrevb.96.205435openalex-snapshot
Twofold twist defect chains at criticality
inferred← citeshttps://doi.org/10.1103/physrevb.97.125104openalex-snapshot
Free-fermion descriptions of parafermion chains and string-net models
inferred← citeshttps://doi.org/10.1103/physrevb.98.205118openalex-snapshot
Quantum field theory for the chiral clock transition in one spatial dimension
inferred← citeshttps://doi.org/10.1103/physrevd.102.094515openalex-snapshot
Gauss’s law, duality, and the Hamiltonian formulation of U(1) lattice gauge theory
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