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

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

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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Veröffentlicht in:arXiv.org 2024-07
1. Verfasser: Rühr, René
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Critical temperature
Ising model
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Zusammenfassung: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.
ISSN:2331-8422