Abstract
Abstract We show that the ground state tunnel splitting of the magnetization can be topologically quenched in a nanomagnetic Josephson φ 0 junction. Due to the relative strength of the spin-orbit interaction the tunnel splitting is found to oscillate with the bias current applied to the junction as well as the magnetic field along the hard axis. Spin-coherent-state path integrals are used to obtain an analytic expression for the tunnel splitting controlled by topological interference of two tunnel paths of opposite windings and the condition in which the tunnel splitting is frozen. This feature is expected to be observable in existing experimental technique.
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