Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
DOI10.1063/1.5039735zbMath1426.82008arXiv1805.00644OpenAlexW2799097875MaRDI QIDQ5193193
Yi Jiang, Leonid P. Pryadko, Alexey A. Kovalev, I. I. Dumer
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.00644
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Homology and cohomology of Lie groups (57T10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Chain complexes (category-theoretic aspects), dg categories (18G35) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A homological upper bound on critical probabilities for hyperbolic percolation
- Tensor network states and geometry
- The weak limit of Ising models on locally tree-like graphs
- A short proof of the equivalence of left and right convergence for sparse graphs
- Uniqueness and non-uniqueness in percolation theory
- Random walks on graphs with a strong isoperimetric property
- Density and uniqueness in percolation
- Correlation inequalities and their applications
- Amenability and phase transition in the Ising model
- Three-dimensional Gross-Neveu model on curved spaces
- Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
- Two-point correlation functions of scaling fields in the Dirac theory on the Poincaré disk
- The Ising model and percolation on trees and tree-like graphs
- Recurrence of distributional limits of finite planar graphs
- Percolation on heterogeneous networks as a model for epidemics
- Fault-tolerant quantum computation by anyons
- Explicit isoperimetric constants and phase transitions in the random-cluster model
- Percolation in the hyperbolic plane
- Phase transitions on nonamenable graphs
- Triangle group representations and constructions of regular maps
- Mod-ϕ Convergence
- Constructions and Noise Threshold of Hyperbolic Surface Codes
- Statistical mechanics of complex networks
- Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds
- Critical behavior in spherical and hyperbolic spaces
- Contagion in financial networks
- A recursive approach to low complexity codes
- Quantum error correction via codes over GF(4)
- Statistical Physics of Spin Glasses and Information Processing
- Topological quantum memory
- Left and right convergence of graphs with bounded degree
- Equation of State Calculations by Fast Computing Machines
- Distance Verification for Classical and Quantum LDPC Codes
- Crystallography on curved surfaces
- Periodic boundary conditions on the pseudosphere
- Statistics of the Two-Dimensional Ferromagnet. Part I
- Quantum Fields in Curved Space
- Ising models on hyperbolic graphs. II
- Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs.
This page was built for publication: Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
