Tunable 0-π transition by spin precession in Josephson junctions

Coexistence and tuning of spin-singlet and triplet transport in spin-filter Josephson junctions

“…A finite shift of the order of 0.1 mT in the Fraunhofer pattern curves arises when ramping the field from positive to negative values, and viceversa [54]. Even if the strength of the external magnetic field is not enough to generate a complete magnetic ordering, slight modifications in the microscopic structure of the barrier arise [55], which has been already predicted to occurr in systems with tunable domain walls [56], intrinsic SOC [57] and magnetic impurities [58]. At zero field, the magnetic disorder is maximum and likely introduces electronic defect states in the barrier [59].…”

Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires

“…Liu et al discussed a similar effect as π-0 transition by the tuning of SO interaction. 34 For in-plain magnetic field, the disappearance of π-state coincide with the anomalous Josephson effect. In our numerical calculation, we find large anomalous Josephson current even when the angle between magnetic field and SO interaction is less than π/4 (not shown).…”

“…Then, the 0-π transition can be quenched by the SO interaction. Liu et al discussed a similar effect as the π -0 transition by the tuning of the SO interaction [34]. For in-plane magnetic field, the disappearance of the π -state coincides with the anomalous Josephson effect.…”

“…The dc Josephson current with SO interaction in the normal region was investigated theoretically by a lot of groups, for normal metal with magnetic impurities [32], two-dimensional electron gas (2DEG) in semiconductor heterostructures [33][34][35][36][37][38][39], open quantum dots [40], quantum dots with tunnel barriers [41][42][43][44][45][46][47], carbon nanotubes [48], quantum wires or nanowires [49][50][51][52], quantum point contacts [53,54], topological insulators [55], and others [56]. The SO interaction breaks the spin degeneracy of Andreev levels when the time-reversal symmetry is broken by the phase difference ϕ = 0 even in the absence of magnetic field [40,56].…”

Josephson Current through Semiconductor Nanowire with Spin–Orbit Interaction in Magnetic Field

“…13 The effect of SO interaction is another interesting subject for the DC Josephson effect. It was investigated by a lot of theoretical groups, for normal metal with magnetic impurities, 25 two-dimensional electron gas (2DEG) in semiconductor heterostructures, [26][27][28][29][30][31][32][33] open quantum dots (QDs), 34 QDs with tunnel barriers, [35][36][37][38][39][40] carbon nanotubes, 41 quantum wires or NWs, [42][43][44] and others. 45 Even in the absence of magnetic field, the SO interaction splits the spin-degeneracy of the Andreev levels when the phase difference ϕ is finite.…”