Spin and chirality orderings of the one-dimensional Heisenberg spin glass with the long-range power-law interaction

TL;DR

This study investigates the ordering phenomena in a one-dimensional Heisenberg spin glass with long-range interactions, revealing that chiral-glass order can occur at finite temperatures while spin-glass order only appears at zero temperature.

Contribution

It provides new insights into spin and chirality ordering and the decoupling phenomenon in long-range interacting spin glasses through Monte Carlo simulations.

Findings

Chiral-glass order occurs at finite temperatures for certain interaction ranges.

Spin-glass order appears only at zero temperature.

Evidence of spin-chirality decoupling in the model.

Abstract

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality decoupling'' for appropriate values of the power-law exponent \sigma. Our result suggests that, for intermediate values of $\sigma$, the chiral-glass order occurs at finite temperatures while the standard spin-glass order occurs only at zero temperature.