Abstract
We Analyze the Amplitude Fluctuations in a Diluted 3D Classical XY Model Near the Magnetic Phase Transition, motivated by the Unusual Localization Properties of the Amplitude (Higgs) Mode Recently Found at the Disordered Superfluid-Mott Glass Quantum Phase Transition. We Calculate the Amplitude Correlation Function and the Corresponding Scalar Susceptibility by Means of Monte Carlo Simulations. in Contrast to the Quantum Case, in Which the Scalar Susceptibility Was Found to Violate Naive Scaling, We Find that the Scalar Susceptibility of the Classical System Fulfills Naive Scaling (Employing the Clean Critical Exponents, as Expected from the Harris Criterion) as the Temperature is Varied Across the Phase Transition for Several Dilutions. We Discuss Possible Reasons for This Discrepancy as Well as the Generality of Our Findings.
Recommended Citation
R. Beattie-Hauser and T. Vojta, "Scalar Susceptibility of a Diluted Classical XY Model," Physical Review B, vol. 109, no. 18, article no. 184202, American Physical Society, May 2024.
The definitive version is available at https://doi.org/10.1103/PhysRevB.109.184202
Department(s)
Physics
International Standard Serial Number (ISSN)
2469-9969; 2469-9950
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 American Physical Society, All rights reserved.
Publication Date
01 May 2024
Comments
National Science Foundation, Grant DMR-1828489