Rigorous criterion for reentrance in the spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices

TL;DR

This paper provides an exact solution for the spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices, revealing reentrant phase transitions at high coordination numbers.

Contribution

It introduces a rigorous criterion for reentrance in the model using decoration-iteration transformation and recursion relations.

Findings

Reentrant phase transitions occur at high coordination numbers.

Exact analytical solution for the model.

Reentrance criterion established for Bethe lattices.

Abstract

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved with the help of decoration-iteration transformation and exact recursion relations. It is shown that the model under investigation exhibits reentrant phase transitions whenever a sufficiently high coordination number of the underlying Bethe lattice is considered.