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Title: Resonant torsion magnetometry in anisotropic quantum materials

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 = ∂ 2F/∂θ 2, 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 3 highlights its sensitivity to anisotropic phase transitions and allows a quantitative comparison to other thermodynamic coefficients via the Ehrenfest relations.

Authors:
 [1];  [1]; ORCiD logo [2];  [1];  [1];  [1];  [3];  [3]; ORCiD logo [3];  [1];  [1];  [1]; ORCiD logo [3];  [4]; ORCiD logo [1]
  1. Max Planck Inst. for Chemical Physics of Solids, Dresden (Germany)
  2. Cornell Univ., Ithaca, NY (United States). Lab. of Atomic and Solid State Physics
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); LANL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); Engineering and Physical Sciences Research Council (EPSRC); Max Planck Society (Germany)
OSTI Identifier:
1477705
Report Number(s):
LA-UR-18-28424
Journal ID: ISSN 2041-1723
Grant/Contract Number:  
AC52-06NA25396; DMR-1157490; DMR-1644779; EP/I007002/1
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 9; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; High Magnetic Field Science

Citation Formats

Modic, K. A., Bachmann, Maja D., Ramshaw, B. J., Arnold, F., Shirer, K. R., Estry, Amelia, Betts, J. B., Ghimire, Nirmal J., Bauer, E. D., Schmidt, Marcus, Baenitz, Michael, Svanidze, E., McDonald, Ross D., Shekhter, Arkady, and Moll, Philip J. W. Resonant torsion magnetometry in anisotropic quantum materials. United States: N. p., 2018. Web. doi:10.1038/s41467-018-06412-w.
Modic, K. A., Bachmann, Maja D., Ramshaw, B. J., Arnold, F., Shirer, K. R., Estry, Amelia, Betts, J. B., Ghimire, Nirmal J., Bauer, E. D., Schmidt, Marcus, Baenitz, Michael, Svanidze, E., McDonald, Ross D., Shekhter, Arkady, & Moll, Philip J. W. Resonant torsion magnetometry in anisotropic quantum materials. United States. doi:10.1038/s41467-018-06412-w.
Modic, K. A., Bachmann, Maja D., Ramshaw, B. J., Arnold, F., Shirer, K. R., Estry, Amelia, Betts, J. B., Ghimire, Nirmal J., Bauer, E. D., Schmidt, Marcus, Baenitz, Michael, Svanidze, E., McDonald, Ross D., Shekhter, Arkady, and Moll, Philip J. W. Fri . "Resonant torsion magnetometry in anisotropic quantum materials". United States. doi:10.1038/s41467-018-06412-w. https://www.osti.gov/servlets/purl/1477705.
@article{osti_1477705,
title = {Resonant torsion magnetometry in anisotropic quantum materials},
author = {Modic, K. A. and Bachmann, Maja D. and Ramshaw, B. J. and Arnold, F. and Shirer, K. R. and Estry, Amelia and Betts, J. B. and Ghimire, Nirmal J. and Bauer, E. D. and Schmidt, Marcus and Baenitz, Michael and Svanidze, E. and McDonald, Ross D. and Shekhter, Arkady and Moll, Philip J. W.},
abstractNote = {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 = ∂2F/∂θ2, 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 RuCl3 highlights its sensitivity to anisotropic phase transitions and allows a quantitative comparison to other thermodynamic coefficients via the Ehrenfest relations.},
doi = {10.1038/s41467-018-06412-w},
journal = {Nature Communications},
issn = {2041-1723},
number = ,
volume = 9,
place = {United States},
year = {2018},
month = {9}
}

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Figures / Tables:

Fig. 1 Fig. 1 : Schematic overview of resonant torsion magnetometry. a First and second derivatives of the free energy with respect to the magnetic field B and the field orientation θ. b The quartz tuning fork of the Akiyama A-probe (http://www.akiyamaprobe.com) is electrically excited at the lowest-resonance mode of the siliconmore » cantilever, producing a large out-of-plane motion at the tip of the cantilever. c Schematic representing the principle of measuring the magnetotropic coefficient k. In a magnetic field, the magnetic torque brings the lever to a new equilibrium position. The magnetic energy of the samples changes the effective stiffness of the lever, leading to a shift in the resonant frequency. d The silicon cantilever glued to each leg of the quartz tuning fork with a single crystal of RuCl3 mounted at the tip with Bayer silicone grease« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.