Spin-chirality decoupling in the one-dimensional Heisenberg spin glass with long-range power-law interactions

TL;DR

This study investigates how spin and chirality order separately or together in a one-dimensional Heisenberg spin glass with long-range interactions, revealing decoupling phenomena at specific interaction ranges through large-scale simulations.

Contribution

It provides new insights into spin-chirality decoupling in long-range interacting models, with implications for understanding higher-dimensional short-range systems.

Findings

Spin-chirality decoupling occurs at intermediate power-law exponents.

Large-scale Monte Carlo simulations support the decoupling phenomenon.

Implications discussed for related short-range models in higher dimensions.

Abstract

We study the issue of the spin-chirality decoupling/coupling in the ordering of the Heisenberg spin glass by performing large-scale Monte Carlo simulations on a one-dimensional Heisenberg spin-glass model with a long-range power-law interaction up to large system sizes. We find that the spin-chirality decoupling occurs for an intermediate range of the power-law exponent. Implications to the corresponding $d$-dimensional short-range model is discussed.