Magnetic excitations in the spinel compound Li$_x$[Mn$_{1.96}$Li$_{0.04}$]O$_4$ (x= 0.2, 0.6, 0.8, 1.0): how a classical system can mimic quantum critical scaling
Thomas Heitmann, Alexander Schmets, John Gaddy, Jagat Lamsal, Marcus, Petrovic, Wouter Montfrooij, and Thomas Vojta

TL;DR
This study shows that classical spinel compounds with magnetic clusters can exhibit E/T-scaling similar to quantum critical systems, suggesting that lattice fragmentation due to disorder influences low-temperature magnetic responses.
Contribution
It demonstrates that classical magnetic systems can mimic quantum critical scaling, highlighting the role of magnetic cluster fragmentation in low-temperature behavior.
Findings
Magnetic excitations are dominated by Mn^4+ clusters below 70 K.
Classical spinel compounds show E/T-scaling similar to quantum critical systems.
Magnetic lattice fragmentation due to disorder influences low-temperature responses.
Abstract
We present neutron scattering results on the magnetic excitations in the spinel compounds Li[MnLi]O (x= 0.2, 0.6, 0.8, 1.0). We show that the dominant excitations below T ~ 70 K are determined by clusters of Mn^4+ ions, and that these excitations mimic the E/T-scaling found in quantum critical systems that also harbor magnetic clusters, such as CeRuFeGe. We argue that our results for this classical spinel compound show that the unusual response at low temperatures as observed in quantum critical systems is (at least) partially the result of the fragmentation of the magnetic lattice into smaller units. This fragmentation in quantum critical systems is the direct and unavoidable result of intrinsic disorder.
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