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Damping of a nanocantilever by paramagnetic spins

2014/02/10 by Eugene M. Chudnovsky, E. M. Chudnovsky, D. A. Garanin
Materials Science · Physics and Astronomy · #Angular momentum #Cantilever #Carbon Nanotubes in Composites #Classical mechanics #Condensed matter physics #Force Microscopy Techniques and Applications #Magnetic damping #Materials science #Mechanical and Optical Resonators #Paramagnetism #Physics #Quality (philosophy) #Quantum mechanics #Spin (aerodynamics) #Spins #Thermodynamics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.89.174420

4 pages, 3 figures

arxiv created 2014/02/10 · openalex publication_date 2014/05/19 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We compute damping of mechanical oscillations of a cantilever that contains flipping paramagnetic spins. This kind of damping is mandated by the dynamics of the total angular momentum, spin+mechanical, and it does not require an external magnetic field. Rigorous expression for the damping rate is derived in terms of the imaginary part of the magnetic susceptibility. The effect of spins on the quality factor of the cantilever can be significant in cantilevers of small length that have large concentration of paramagnetic spins of atomic and/or nuclear origin.

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