Phase diagram of the (bosonic) Double-Exchange Model

TL;DR

This paper maps out the phase diagram of the bosonic Double-Exchange model with antiferromagnetic coupling, revealing complex phases and a hidden ordered segment at low temperatures that could mislead neutron-scattering experiments.

Contribution

It provides a comprehensive analysis of the phase diagram using Monte Carlo, large-N, and mean-field methods, uncovering a novel low-temperature ordered phase segment.

Findings

No first-order phase transitions observed.

A hidden ordered phase segment at low temperature for intermediate AFM coupling.

Presence of a cusp in specific heat indicating this phase.

Abstract

The phase diagram of the simplest approximation to Double-Exchange systems, the bosonic Double-Exchange model with antiferromagnetic super-exchange coupling, is fully worked out by means of Monte Carlo simulations, large-N expansions and Variational Mean-Field calculations. We find a rich phase diagram, with no first-order phase transitions. The most surprising finding is the existence of a segment like ordered phase at low temperature for intermediate AFM coupling which cannot be detected in neutron-scattering experiments. This is signaled by a maximum (a cusp) in the specific heat. Below the phase-transition, only short-range ordering would be found in neutron-scattering. Researchers looking for a Quantum Critical Point in manganites should be wary of this possibility. Finite-Size Scaling estimates of critical exponents are presented, although large scaling corrections are present in the reachable lattice sizes.