On bond anisotropy for the ising model through the geometry of numbers

2024/03/31 by Renë Rühr, Rühr, René
Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2404.00662

openalex publication_date 2024/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We associate to each unit volume lattice of \R^d the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability exponents are proven.

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