Scaling and data collapse from local moments in frustrated disordered quantum spin systems
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Author(s)
Kimchi, Itamar
Sheckelton, John P.
McQueen, Tyrel M.
Lee, Patrick A.
Date Issued
October 2018
Journal
Nature communications
Publisher
Springer Nature
Citation
Kimchi, Itamar, John P. Sheckelton, Tyrel M. McQueen, and Patrick A. Lee. “Scaling and Data Collapse from Local Moments in Frustrated Disordered Quantum Spin Systems.” Nature Communications 9, 1 (October 2018): no. 4367 doi 10.1038/s41467-018-06800-2 ©2018 Author(s)
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Final published version
Abstract
Recently measurements on various spin–1/2 quantum magnets such as H3LiIr2O6, LiZn2Mo3O8, ZnCu3(OH)6Cl2 and 1T-TaS2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular the heat capacity C[H, T] in temperature T and magnetic field H exhibits T/H data collapse reminiscent of scaling near a critical point. Here we propose a theory for this scaling collapse based on an emergent random-singlet regime extended to include spin-orbit coupling and antisymmetric Dzyaloshinskii-Moriya (DM) interactions. We derive the scaling C[H, T]/T ~ H−γFq[T/H] with Fq[x] = xq at small x, with q ∈ {0, 1, 2} an integer exponent whose value depends on spatial symmetries. The agreement with experiments indicates that a fraction of spins form random valence bonds and that these are surrounded by a quantum paramagnetic phase. We also discuss distinct scaling for magnetization with a q-dependent subdominant term enforced by Maxwell’s relations. ©2018
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1038/S41467-018-06800-2
