# Thermodynamics of symmetric spin--orbital model: One- and two-dimensional cases

## TL;DR

This paper investigates the thermodynamic properties of symmetric spin-orbital models in one- and two-dimensional systems, revealing features akin to phase transitions driven by quantum entanglement, even without long-range order.

## Contribution

It provides a detailed analysis of thermodynamic behavior in spin-orbital models using a self-consistent approach, highlighting entanglement effects in phase transition-like features.

## Key findings

- Thermodynamic features appear without long-range order.
- Quantum entanglement influences thermodynamic behavior.
- Behavior resembles phase transition signatures.

## Abstract

The specific heat and susceptibilities for the two- and one-dimensional spin--orbital models are calculated in the framework of a spherically symmetric self-consistent approach at different temperatures and relations between the parameters of the system. It is shown that even in the absence of the long-range spin and orbital order, the system exhibits the features in the behavior of thermodynamic characteristics, which are typical of those manifesting themselves at phase transitions. Such features are attributed to the quantum entanglement of the coupled spin and orbital degrees of freedom.