A correct description of the interaction between a magnetic moment and its image

Giaro, Krzysztof; Gorzkowski, Waldemar; Motylewski, T.

doi:10.1016/0921-4534(90)90065-m

Cited by 10 publications

(7 citation statements)

References 2 publications

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“…This discrepancy was pointed out by Giaro et al [18] in a simpler version: an electric charge q at z over a perfect conducting uncharged (or electrically earthed) plane. Both problems are equivalent and the physics under them are similar.…”

Section: Giaro's Argumentmentioning

confidence: 90%

Interpretation of the method of images in estimating superconducting levitation

Pérez-Díaz

García-Prada

2007

Physica C: Superconductivity and its Applications

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Section: Giaro's Argumentmentioning

confidence: 90%

Interpretation of the method of images in estimating superconducting levitation

Pérez-Díaz

García-Prada

2007

Physica C: Superconductivity and its Applications

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“…5, there is a frozen image whose location depends on the cooling height h; and the location is fixed with respect to the particle's motion. Due to the Meissner effect, there is also a diamagnetic image [17], which is a mirror image of the particle; the diamagnetic image follows the motion of the particle. When the particle moves horizontally away from the originally stable position, the frozen image provides an attractive force to "drag" the particle back to the original position, and the diamagnetic image provides a repulsive force to keep the magnetic particle away from the surface of the superconductor.…”

Section: B Comparison Between Data and Empirical Modelmentioning

confidence: 99%

Dynamics of a Ferromagnetic Particle Levitated over a Superconductor

et al. 2019

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Under conditions where the angular momentum of a ferromagnetic particle is dominated by intrinsic spin, applied torque is predicted to cause gyroscopic precession of the particle. If the particle is sufficiently isolated from the environment, a measurement of spin precession can potentially yield sensitivity to torque beyond the standard quantum limit. Levitation of a micron-scale ferromagnetic particle above a superconductor is a possible method of near frictionless suspension enabling observation of ferromagnetic particle precession and ultrasensitive torque measurements. We experimentally investigate the dynamics of a micron-scale ferromagnetic particle levitated above a superconducting niobium surface. We find that the levitating particles are trapped in potential minima associated with residual magnetic flux pinned by the superconductor and, using an optical technique, characterize the quasiperiodic motion of the particles in these traps.

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“…where p is the FG center-of-mass momentum, g is the gravitational acceleration, and the factor 1/2 is a consequence of the image dipole being not frozen in type-I SC, i.e., following the levitating dipole [46][47][48].…”

Section: Ferromagnetic Gyroscope Levitated Above a Type-i Superconductormentioning

confidence: 99%

Ferromagnetic Gyroscopes for Tests of Fundamental Physics

Fadeev,

Timberlake,

Wang

et al. 2020

Preprint

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A ferromagnetic gyroscope (FG) is a ferromagnet whose angular momentum is dominated by electron spin polarization and that will precess under the action of an external torque, such as that due to a magnetic field. Here we model and analyze FG dynamics and sensitivity, focusing on practical schemes for experimental realization. In the case of a freely floating FG, we model the transition from dynamics dominated by libration in relatively high externally applied magnetic fields, to those dominated by precession at relatively low applied fields. Measurement of the libration frequency enables in situ measurement of the magnetic field and a technique to reduce the field below the threshold for which precession dominates the FG dynamics. We note that evidence of gyroscopic behavior is present even at magnetic fields much larger than the threshold field below which precession dominates. We also model the dynamics of an FG levitated above a type-I superconductor via the Meissner effect, and find that for FGs with dimensions larger than about 100 nm the observed precession frequency is reduced compared to that of a freely floating FG. This is akin to negative feedback that arises from the distortion of the field from the FG by the superconductor. Finally we assess the sensitivity of an FG levitated above a type-I superconductor to exotic spin-dependent interactions under practical experimental conditions, demonstrating the potential of FGs for tests of fundamental physics.

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A correct description of the interaction between a magnetic moment and its image

Cited by 10 publications

References 2 publications

Interpretation of the method of images in estimating superconducting levitation

Interpretation of the method of images in estimating superconducting levitation

Dynamics of a Ferromagnetic Particle Levitated over a Superconductor

Ferromagnetic Gyroscopes for Tests of Fundamental Physics

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