Magnetization reversal in superconductor/insulating ferromagnet/superconductor Josephson junctions on a three-dimensional topological insulator

Nonlinear features of the superconductor–ferromagnet–superconductor φ0 Josephson junction in the ferromagnetic resonance region

“…In order to describe the full dynamics of the φ 0 junction the LLG equations should be supplemented by the equation for the phase difference φ, that is, the equations of the RCSJ model for bias current and the Josephson relation for voltage. According to the extended RCSJ model, which takes into account derivative of φ 0 phase shift, the current flowing through the system in underdamped case is determined by (4) where I is the bias current and C and R are capacitance and resistance of the Josephson junction, respectively. The Josephson relation for the voltage is given by (5) We note that, in the framework of the RCSJ model, the displacement current is proportional to the first derivative of the voltage (or the second derivative of the phase difference).…”

“…The coupling of the superconducting phase difference with the magnetic moment of a ferromagnet in a φ 0 junction leads to a number of unique features important for superconducting spin-tronics and modern information technology [1][2][3][4][5]. It allows one to control the magnetization precession by the superconducting current and affects the current-voltage (I-V) characteristics by magnetic dynamics in the ferromagnet, in particular, to create a DC component in the superconducting current [6][7][8].…”

Magnetoelectric effects in Josephson junctions

“…To obtain the anomalous phase shift one has to include the magnetoelectric coupling which is beyond the standard quasiclassical approximation 64,66,68,71,96,98,116,118,126,[144][145][146][147][148][149][150][151][152] . For Rashba-type SOC described by the hamiltonian H R = α[p × n]σ in the ballistic regime and for large Rashba constant α, the anomalous phase shift is given by 92…”

Locking of magnetization and Josephson oscillations at ferromagnetic resonance in $φ_0$ junction under external radiation

“…Using superconductor-ferromagnetic insulator-superconductor on a 3D topological insulator might be a way to have the spin-orbit coupling needed for ϕ 0 JJ [77]. The interaction between the Josephson current and magnetization is determined by the ratio of the Josephson to the magnetic anisotropy energy G = E J /(KV) and spinorbit interaction r. The value of the Rashba-type parameter r in a permalloy doped with P t [78] and in the ferromagnets without inversion symmetry, like M nSi or F eGe, is usually estimated to be in the range 0.1 − 1.…”