Critical property of spin-glass transition in a bond-disordered classical antiferromagnetic Heisenberg model with a biquadratic interaction

TL;DR

This study investigates the critical properties of spin-glass and nematic transitions in a bond-disordered classical antiferromagnetic Heisenberg model with biquadratic interactions, using large-scale finite-size scaling analyses.

Contribution

It extends previous work by analyzing larger system sizes to accurately estimate transition temperatures and critical exponents, comparing them with canonical spin-glass systems and considering magnetoelastic effects.

Findings

Critical exponents differ from canonical spin-glass systems.

Transition temperatures are precisely estimated using larger system sizes.

Specific heat behavior shows notable differences from canonical spin-glass systems.

Abstract

Motivated by puzzling spin-glass behaviors observed in many pyrochlore-based magnets, effects of magnetoelastic coupling to local lattice distortions were recently studied by the authors for a bond-disordered antiferromagnet on a pyrochlore lattice [Phys. Rev. Lett. 107, 047204 (2011)]. Here, we extend the analyses with focusing on the critical property of the spin-glass transition which occurs concomitantly with a nematic transition. Finite-size scaling analyses are performed up to a larger system size with 8192 spins to estimate the transition temperature and critical exponents. The exponents are compared with those in the absence of the magnetoelastic coupling and with those for the canonical spin-glass systems. We also discuss the temperature dependence of the specific heat in comparison with that in canonical spin-glass systems as well as an experimental result.