Taming Spin Susceptibilities in Frustrated Quantum Magnets: Mean-Field Form and Approximate Nature of the Quantum-to-Classical Correspondence
Year: 2025
Type: article
Abstract: In frustrated magnetism, the empirically found quantum-to-classical correspondence (QCC) matches the real-space static susceptibility pattern of a quantum spin-1/2 model with its classical counterpart computed at a certain elevated temperature. This puzzling relation was observed via bold line diagrammatic Monte Carlo simulations in dimensions two and three. The matching was within error bars and seemed valid down to the lowest accessible temperatures T about an order of magnitude smaller than the exchange coupling J. Here, we employ resummed spin diagrammatic perturbation theory to show analytically that the QCC breaks weakly at fourth order in J/T and provide the approximate mapping between classical and quantum temperatures. Our treatment further reveals that QCC is an indication of the surprising accuracy with which static correlators can be approximated by a simple renormalized mean-field form. We illustrate this for all models discussed in the context of QCC so far, including a recent example of the S=1 material K_{2}Ni_{2}(SO_{4})_{3}. The success of the mean-field form is traced back to partial diagrammatic cancellations.
Source: Physical Review Letters
Authors: Benedikt Schneider, Björn Sbierski
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,750
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4409906722