Thermodynamics of the one-dimensional SU(4) symmetric spin-orbital model

TL;DR

This paper investigates the thermodynamics and ground state properties of a one-dimensional SU(4) symmetric spin-orbital model using quantum Monte Carlo simulations, revealing gapless modes and specific correlation behaviors.

Contribution

It provides new insights into the thermodynamic behavior and correlation functions of the SU(4) spin-orbital model, highlighting the presence of three gapless modes.

Findings

Spin-spin correlations show 4-site periodicity.

Entropy is linear in temperature with a slope indicating three gapless modes.

Correlation lengths diverge inversely with temperature.

Abstract

The ground state properties and the thermodynamics of the one-dimensional SU(4) symmetric spin system with orbital degeneracy are investigated using the quantum Monte Carlo loop algorithm. The spin-spin correlation functions exhibit a 4-site periodicity, and their low temperature behavior is controlled by two correlation lengths that diverge like the inverse temperature, while the entropy is linear in temperature and its slope is consistent with three gapless modes of velocity $\pi/2$. The physical implications of these results are discussed.