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(a) Schematic of the static quadrupole-like trapping potential resulting from a biased fringing field. (b) Schematic of the TAP resulting from circular actuation of the magnetic field source. is the trap depth and is the radius of the circle. The TAP is truncated at to illustrate the trap depth due to the instantaneous zero point. The shapes of the potentials are quantitatively accurate but not to scale.
Variation of PATAP characteristics with the amplitude of motion and the tightness of the static potential. is the gradient of the static magnetic field in the x and y directions, is the amplitude of movement, and is the adiabaticity parameter equal to . Deep and adiabatic traps are produced at of a few hundred nanometers.
The resulting time-averaged potential for a piezoelectrically actuated nanomagnetic domain wall for a range of radii, . (a)–(d) correspond to r D = 0.25 μm, 0.50 μm, 0.75 μm, and 1.00 μm, respectively. The character of the trapping geometry changes from simple 3D confinement to a ring trap with 1D confinement as increases.
A toroidal trap formed using the PATAP scheme. (a) shows the general shape of the potential illustrated by an isosurface at K. (b) and (c) show slices through the trap minimum in the radial and vertical directions, respectively. The height is quoted relative to that of the instantaneous zero point. In (b), red dashed lines indicate the position of the instantaneous zero point. The trap is formed via motion of amplitude 550 nm. is given by MHz/kHz .
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