On the Critical Temperature of Non-Periodic Ising Models on Hexagonal Lattices

TL;DR

This paper derives explicit formulas for the critical temperature of layered Ising models on triangular and honeycomb lattices with arbitrary coupling distributions.

Contribution

It provides a simple, explicit calculation method for the critical temperature of non-periodic layered Ising models on specific lattices.

Findings

Explicit formulas for critical temperatures on triangular and honeycomb lattices.

Applicability to arbitrary coupling distributions.

Simplifies analysis of layered Ising models.

Abstract

The critical temperature of layered Ising models on triangular and honeycomb lattices are calculated in simple, explicit form for arbitrary distribution of the couplings.