Scaling Law Describes the Spin-Glass Response in Theory, Experiments, and Simulations

Area of Science:

• Condensed Matter Physics
• Statistical Mechanics
• Materials Science

Background:

• The spin-glass correlation length (ξ) is crucial for understanding glassy dynamics.
• Existing analysis methods show discrepancies for spin glasses under large fields or near the glass transition temperature.
• Precise measurement of ξ is achievable through experiments and simulations.

Purpose of the Study:

• To address the limitations of current methods for analyzing spin-glass correlation length.
• To introduce a novel scaling law that incorporates magnetic field and time-dependent effects.
• To validate the new scaling law against experimental and simulation data.

Main Methods:

• Development of a new scaling law for the spin-glass correlation length.
• Incorporation of magnetic field strength and time-dependent correlation length into the scaling law.
• Validation using experimental data from a CuMn single crystal.
• Validation using large-scale simulations on the Janus II computer.

Main Results:

• The proposed scaling law successfully resolves discrepancies observed with previous methods.
• The law accurately describes experimental measurements in CuMn spin glasses.
• The law is validated by large-scale simulations, confirming its robustness.

Conclusions:

• The new scaling law provides a more accurate and reliable method for measuring spin-glass correlation length.
• This advancement enhances the understanding of glassy dynamics, particularly under challenging conditions.
• The findings have implications for both theoretical studies and experimental characterization of spin glasses.