Analyticity of the Ising susceptibility: an interpretation

DOI10.1088/1751-8121/aa8128zbMath1376.82011arXiv1705.02541OpenAlexW3099475054WikidataQ58082035 ScholiaQ58082035MaRDI QIDQ5369078

Iwan Jensen, Jesper Lykke Jacobsen, Michael Assis, Barry M. McCoy, Jean-Marie Maillard

Publication date: 12 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02541

zbMATH Keywords

Ising modelpartition function zerostransfer matrix eigenvalues

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Electro- and magnetostatics (78A30) Statistical thermodynamics (82B30)

Related Items (1)

Yang–Lee zeros of the Yang–Lee model

Uses Software

• na20
• Eigensolve

Cites Work

• An iterated eigenvalue algorithm for approximating roots of univariate polynomials
• Design, analysis, and implementation of a multiprecision polynomial rootfinder
• Ising field theory in a magnetic field: Analytic properties of the free energy
• Integrability versus non-integrability: hard hexagons and hard squares compared
• Variational approach to the scaling function of the 2D Ising model in a magnetic field
• On the singularity structure of the 2D Ising model susceptibility
• Solvability of Some Statistical Mechanical Systems
• Addendum to `On the singularity structure of the 2D Ising model susceptibility'
• Hard squares with negative activity
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Density of the Fisher zeroes for the Ising model

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