Despite the enormous interest in quantum spin liquids, their experimental existence still awaits broad consensus. In particular, quenched disorder may turn a specific system into a spin glass and possibly preclude the formation of a quantum spin liquid. Here, we demonstrate that the glass transition among geometrically frustrated magnets, a materials class in which spin liquids are expected, differs qualitatively from conventional spin glass. Whereas conventional systems have a glass temperature that increases with increasing disorder, geometrically frustrated systems have a glass temperature that increases with decreasing disorder, approaching, in the clean limit, a finite value. This behaviour implies the existence of a hidden energy scale (far smaller than the Weiss constant) which is independent of disorder and drives the glass transition in the presence of disorder. Motivated by these observations, we propose a scenario in which the interplay of interactions and entropy in the disorder-free system yields a temperature-dependent magnetic permeability with a crossover temperature that determines the hidden energy scale. The relevance of this scale for quantum spin liquids is discussed.

Hidden energy scale in geometrically frustrated systems: are quantum spin liquids achievable?

H E Stanley Oxford: University Press 1971 pp xx + 308 price ?5 In the past fifteen years or so there has been a lot of experimental and theoretical work on the nature of critical phenomena in the neighbourhood of second order phase transitions. It has not been easy to get a good overall view of this work without digging through the rather complex original literature, although there are some good review articles covering particular aspects of the work.

https://iopscience.iop.org/article/10.1088/0031-9112/23/4/018/pdf

Introduction to Phase Transitions and Critical Phenomena

Anisotropy in spin space originates from the combined effects of orbital occupation and spin-orbit coupling. The highly frustrated and disordered pseudobrookite $Fe_2TiO_5$, demonstrates purely Ising-like spin glass freezing at $T_f$ = 55K, despite its effective spins having no orbital component. Using neutron scattering, we find on cooling towards $T_f$, the growth of a surfboard-shaped region of antiferromagnetically-correlated spins aligned perpendicular to the Ising axis. This result strongly suggests that the transverse fluctuations of these regions are the "quasi-spin" degrees of freedom that freeze. Thus, the Ising anisotropy in $Fe_2TiO_5$ is an emergent property, driven by interactions among atomic spins.

Emergent Quasi-Spin Anisotropy in Highly Frustrated Pseudobrookite $Fe_2TiO_5$

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Emergent Quasi-Spin Anisotropy in Highly Frustrated Pseudobrookite $Fe_2TiO_5$