Nematogenic Lattice Models in One or Two Dimensions and with Long-Range Interactions

TL;DR

This paper proves the existence of finite-temperature ordering transitions in nematogenic lattice models with long-range interactions in one- or two-dimensional systems, extending previous rigorous results.

Contribution

It introduces new rigorous proofs demonstrating phase transitions in nematogenic models with long-range interactions in low-dimensional lattices.

Findings

Existence of finite-temperature phase transition proven

Long-range interactions induce ordering in low-dimensional systems

Extension of previous rigorous results to broader model classes

Abstract

Extending previous rigorous results, we prove existence of an ordering transition at finite temperature for a class of nematogenic lattice models, where spins are associated with a one- or two-dimensional lattice, and interact via long-range potentials.