Erratum: Magnetic Moment Manipulation by a Josephson Current [Phys. Rev. Lett. 102 , 017001 (2009)]

Abstract

There was an error in the sign of the vector product of M and H eff in the Landau-Lifshitz-Gilbert equation, Eq. (6) in the original Letter, which effectively corresponds to the sign change of gyromagnetic ratio γ. Therefore the presented results correspond simply to the inverted direction of the spin precession. This does not affect the qualitative conclusions of the Letter but leads to some sign changes in the formulas.Equation (9) should readEquation (11) should readExpression (12) should readwith Ω AE ¼ ðω AE 1Þ 2 þ α 2 ω 2 . m z -1 -0.5 0 0.5 1 0.7 0.8 0.9 1 1.1 Γ=ω=0.5, α=0.6, r=1 (b) m z -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 Γ=ω=1, α=0.1, r=1 (c) m z -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 Γ=ω=1, α=0.05, r=5 (d) t m z (t) 0 0.5 1 1.5 2 2.5 3 -1 0 1 Γ=5π, ω=5 α=0.1, r=0.1 (a) analytic numeric m y m x m y FIG. 2. Results of numerical analysis of the magnetic moment dynamics of the φ 0 -junction. (a) Reversal of m z from analytical expression Eq. (15) (dashed curve) and numerical one (normal curve). The other curves are related to the M trajectory: (b) in strong damping case (c) and (d) in the strong coupling regime revealing incomplete and complete magnetic moment reversal, respectively. PHYSICAL REVIEW LETTERS 123, 169901(E) (2019) 0031-9007=19=123(16)=169901(2) 169901-1

Ferromagnetic resonance and magnetic precessions in φ0 junctions

“…As shown in Ref. 8 , this precession may be monitored by the appearance of higher harmonics in the CPR as well as by the presence of a DC component of the superconducting current that is increases substantially near the ferromagnetic resonance (FMR). The authors stressed that the magnetic dynamics of the S/F/S ϕ 0 junction may be quite complicated and strongly anharmonic.…”

“…The parameter G has been evaluated in Ref. 8 for weak magnetic anisotropy of permalloy K ∼ 4 × 10 −5 KÅ −1 (see Ref. 22 ) and S/F/S junction with l ∼ 1 and T c ∼ 10K as G ∼ 100.…”

“…Out of this, the possibility of appearance of half-integer Shapiro steps (in addition to the conventional integer steps) and the generation of an additional magnetic precession with frequency of external radiation was already discussed in Ref. 8 . However, to the best of our knowledge, an important problem related to the reciprocal influence of Josephson current and magnetization at different bias current along the current-voltage (IV)characteristics has not been investigated till now.…”

Spin torques and magnetic texture dynamics driven by the supercurrent in superconductor/ferromagnet structures

“…26,27 ). However the supercurrentinduced spin torques have been characterised theoretically only in several model systems: in Josephson junctions through the single-domain magnets [28][29][30][31][32] , two [33][34][35] and three 36 FM layers, in ferromagnetic spin-singlet 37 and spin-triplet superconductors 38 . The general understanding of the supercurrent-spin texture interaction has been lacking since there is no direct connection between the above examples and practically interesting systemsbulk non-homogeneous FMs.…”

Magnetoelectric effects in superconductor/ferromagnet bilayers

“…Equilibrium supercurrent-induced spin torques were discussed previously in Josephson junctions through the single-domain magnets 44,[75][76][77][78] , layered systems 58,[79][80][81] , in ferromagnetic 82 and spin-triplet superconductors 83 . Supercurrent-driven domain wall motion in the Josephson junction through strong ferromagnet was considered in Ref.…”