The signed loop approach to the Ising model: foundations and critical point
From MaRDI portal
Publication:368674
DOI10.1007/s10955-013-0767-zzbMath1276.82009arXiv1208.5325OpenAlexW3100222866MaRDI QIDQ368674
Wouter Kager, Marcin Lis, Ronald W. J. Meester
Publication date: 23 September 2013
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5325
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)
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Cites Work
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- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Smirnov's fermionic observable away from criticality
- Planar Ising correlations.
- Ising model observables and non-backtracking walks
- The two-dimensional Ising model and the Kac-Ward determinant
- Beitrag zur Theorie des Ferromagnetismus
- Remarks on the Combinatorial Approach to the Ising Problem
- Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models
- Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs
- On Ising's model of ferromagnetism
- Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
- Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice
- A Combinatorial Solution of the Two-Dimensional Ising Model
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition