A Combinatorial Solution of the Two-Dimensional Ising Model
From MaRDI portal
Publication:5815568
DOI10.1103/PhysRev.88.1332zbMath0048.45804OpenAlexW2034612530WikidataQ27349930 ScholiaQ27349930MaRDI QIDQ5815568
Publication date: 1952
Published in: Physical Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrev.88.1332
Related Items
1D Ising model using the Kronecker sum and Kronecker product, Double interlacing in random tiling models, Solving the one-dimensional Ising chain via mathematical induction: an intuitive approach to the transfer matrix, Applicability of \(n\)-vicinity method for calculation of free energy of Ising model, 2D Ising model: correlation functions at criticality via Riemann-type boundary value problems, Random currents expansion of the Ising model, Exact Curie temperature for the Ising model on Archimedean and Laves lattices, Symmetries of plane partitions and the permanent-determinant method, Belief propagation and loop series on planar graphs, Residual entropy of ice Ih by Wang–Landau Monte Carlo simulation of an effective Ising model, Some remarks on a generalization of the superintegrable chiral Potts model, A combinatorial series expansion for the Ising model, Ising model observables and non-backtracking walks, The planar Ising model and total positivity, GRAPHICAL SOLUTION OF THE ISING MODEL ON HONEYCOMB LATTICE, Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class, Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results, The signed loop approach to the Ising model: foundations and critical point, A Graphical Exposition of the Ising Problem, Residual entropy of a two-dimensional Ising model with crossing and four-spin interactions, Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces, The integer quantum Hall plateau transition is a current algebra after all, Phase transition free regions in the Ising model via the Kac-Ward operator, Critical varieties in the Grassmannian, Interview with Xavier Viennot, Combinatorial approach to exactly solve the 1D Ising model, Bass' identity and a coin arrangements lemma, Entanglement entropy from non-equilibrium Monte Carlo simulations, 100 years of the (critical) Ising model on the hypercubic lattice, Scaling limits and universality of Ising and dimer models, Towards a theory of frustrated degeneracy., Graph coverings and twisted operators, Two-dimensional Ising correlations: Convergence of the scaling limit, Energy correlations of non-integrable Ising models: the scaling limit in the cylinder, The fermionic observable in the Ising model and the inverse Kac-Ward operator, Dual statistical systems and geometrical string, Statistical Mechanics of Dimers on a Plane Lattice, The free-fermion eight-vertex model: couplings, bipartite dimers and \(Z\)-invariance, Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model, Binary linear codes via 4D discrete Ihara-Selberg function, Some comments on developments in exact solutions in statistical mechanics since 1944, Approximating the Ising model on fractal lattices of dimension less than two, The hypergeometric series for the partition function of the 2D Ising model, Spectral bounds for the Ising ferromagnet on an arbitrary given graph, Non-backtracking loop soups and statistical mechanics on spin networks, Exact Solution of the Association Problem by a Matrix-Spinor Method with Applications to Statistical Mechanics, Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function, [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions], The critical Ising model via Kac-Ward matrices, Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs, The spectrum of a transfer matrix for loops., Isocliny in spinor space and Wilson fermions, Counting over non-planar graphs, The sign-factor of the 3D Ising model on dual BCC lattice, Features of the spectral density of a spin system, LOOPS, SURFACES AND GRASSMANN REPRESENTATION IN TWO- AND THREE-DIMENSIONAL ISING MODELS, Eigenvalues of the transfer matrix of the three-dimensional Ising model in the particular case \(n = m = 2\), PROOF OF THE DETERMINANTAL FORM OF THE SPONTANEOUS MAGNETIZATION OF THE SUPERINTEGRABLE CHIRAL POTTS MODEL, On a remarkable class of two-dimensional random walks, Statistical Mechanics of Liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>, On the Theory of the Ising Model of Ferromagnetism, A formula for boundary correlations of the critical Ising model, Explicit R-matrices for inhomogeneous 3D chiral Potts models: integrability and the action formulation for IM, Intersecting loop models on \({\mathbb Z}^ d\): rigorous results., Ground states of 2D ±JIsing spin glasses obtained via stationary Fokker–Planck sampling, Fermions and loops on graphs: II. A monomer–dimer model as a series of determinants, Circle patterns and critical Ising models, A Pfaffian formula for the Ising partition function of surface graphs, Tractable minor-free generalization of planar zero-field Ising models, Computation of sparse circulant permanents via determinants, Remarks on the Combinatorial Approach to the Ising Problem, Asymptotic expansions for a remarkable class of random walks, Ferromagnetic phase transitions of inhomogeneous systems modelled by square Ising models with diamond-type bond-decorations
Cites Work