Scaling and data collapse from local moments in frustrated disordered quantum spin systems
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy, and the Inst. for Quantum Matter
- Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy, and the Inst. for Quantum Matter, and Dept. of Materials Science and Engineering
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 ϵ {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.
- Research Organization:
- Johns Hopkins Univ., Baltimore, MD (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- FG02-08ER46544; FG02-03ER46076
- OSTI ID:
- 1483398
- Journal Information:
- Nature Communications, Vol. 9, Issue 1; ISSN 2041-1723
- Publisher:
- Nature Publishing GroupCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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