Resonant torsion magnetometry in anisotropic quantum materials.

Modic, K A; Bachmann, Maja D; Ramshaw, B J; Arnold, F; Shirer, K R; Estry, Amelia; Betts, J B; Ghimire, Nirmal J et al. · Nat Commun · 2018

basic_science · Level V

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Abstract

Unusual behavior in quantum materials commonly arises from their effective low-dimensional physics, reflecting the underlying anisotropy in the spin and charge degrees of freedom. Here we introduce the magnetotropic coefficient k = ∂<sup>2</sup>F/∂θ<sup>2</sup>, the second derivative of the free energy F with respect to the magnetic field orientation θ in the crystal. We show that the magnetotropic coefficient can be quantitatively determined from a shift in the resonant frequency of a commercially available atomic force microscopy cantilever under magnetic field. This detection method enables part per 100 million sensitivity and the ability to measure magnetic anisotropy in nanogram-scale samples, as demonstrated on the Weyl semimetal NbP. Measurement of the magnetotropic coefficient in the spin-liquid candidate RuCl<sub>3</sub> highlights its sensitivity to anisotropic phase transitions and allows a quantitative comparison to other thermodynamic coefficients via the Ehrenfest relations.