A-type Antiferromagnetic and C-type Orbital-Ordered State in LaMnO$_3$ Using Cooperative Jahn-Teller Phonons

TL;DR

This study investigates how Jahn-Teller phonons influence the magnetic and orbital arrangements in LaMnO$_3$, revealing that they stabilize A-type antiferromagnetic and C-type orbital structures consistent with experimental observations.

Contribution

It demonstrates the role of Jahn-Teller phonons in stabilizing specific magnetic and orbital orders in LaMnO$_3$ using Monte Carlo simulations.

Findings

A-type antiferromagnetic order stabilized

C-type orbital order stabilized

Results agree with experimental data

Abstract

The effect of Jahn-Teller phonons on the magnetic and orbital structure of LaMnO$_3$ is investigated using a combination of relaxation and Monte Carlo techniques on three-dimensional clusters of MnO$_6$ octahedra. In the physically relevant region of parameter space for LaMnO$_3$, and after including small corrections due to tilting effects, the A-type antiferromagnetic and C-type orbital structures were stabilized, in agreement with experiments.