Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase

Nesterov, Konstantin; Houzet, Manuel; Meyer, Jacques

doi:10.1103/physrevb.93.174502

Cited by 71 publications

(56 citation statements)

References 40 publications

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“…The spontaneous phase shift of Josephson current has been obtained in several FM/SC systems [25,27,30,35,[41][42][43][44][45][46][47][48][49][50][51][52][53][54]]. Here we demonstrate that this effect is essential only for the case of strong ferromagnets.…”

Section: Spontaneous Josephson Current Through Strong Ferromagnetssupporting

confidence: 54%

Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets

2017

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Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets Bobkova, I. V.; Silaev, Mikhail Bobkova, I. V., Bobkov, A. M., & Silaev, M. (2017). Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets. Physical Review B, 96 (9) We present the generalized quasiclassical theory of the long-range superconducting proximity effect in heterostructures with strong ferromagnets, where the exchange splitting is of the order of Fermi energy. In the ferromagnet the propagation of equal-spin Cooper pairs residing on the spin-split Fermi surfaces is shown to be governed by the spin-dependent Abelian gauge field which results either from the spin-orbital coupling or from the magnetic texture. This additional gauge field enters into the quasiclassical equations in superposition with the usual electromagnetic vector potential and results in the generation of spontaneous superconducting currents and phase shifts in various geometries which provide the sources of long-range spin-triplet correlations. We derive the Usadel equations and boundary conditions for the strong ferromagnet and consider several generic examples of the Josephson systems supporting spontaneous currents.

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Section: Spontaneous Josephson Current Through Strong Ferromagnetssupporting

confidence: 54%

Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets

2017

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“…Below we derive analytical expressions for the anomalous and usual Josephson current components in generic trilayer S/F/S structures shown in Fig. 1 using Usadel equations (12) and (13) with boundary conditions (19) and current (20). We calculate the amplitudes of anomalous currents for the structures shown in Fig.…”

Section: -3mentioning

confidence: 99%

“…This effect is referred to as the anomalous Josephson effect (AJE) and takes place only in systems with a broken time-reversal symmetry. The AJE has been predicted in junctions which combine conventional superconductors with magnetism and spinorbital interaction [15][16][17][18][19][20][21][22][23], between unconventional superconductors [24], and between topologically nontrivial superconducting leads [25]. In the presence of magnetic flux piercing the normal interlayer superconducting proximity currents are generated, which naturally leads to a phase shift of the CPR [26,27].…”

Section: Introductionmentioning

confidence: 99%

Anomalous current in diffusive ferromagnetic Josephson junctions

2017

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We demonstrate that in diffusive superconductor/ferromagnet/superconductor (S/F/S) junctions a finite, anomalous Josephson current can flow even at zero phase difference between the S electrodes. The conditions for the observation of this effect are noncoplanar magnetization distribution and a broken magnetization inversion symmetry of the superconducting current. The latter symmetry is intrinsic for the widely used quasiclassical approximation and prevented previous works based on this approximation from obtaining the Josephson anomalous current. We show that this symmetry can be removed by introducing spin-dependent boundary conditions for the quasiclassical equations at the superconducting/ferromagnet interfaces in diffusive systems. Using this recipe, we consider generic multilayer magnetic systems and determine the ideal experimental conditions in order to maximize the anomalous current.

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“…One of the unconventional Josephson effect in topological nanowire junctions is the non-zero supercurrent under zero phase difference, the so-called φ 0 junction behavior, in presence of a tilted magnetic field. This φ 0 topological junction has been discussed in several systems, including a single wire junction and a ring shape junction [37,38]. However, as far as we know, the effect of disorders has not been discussed.…”

Section: Introductionmentioning

confidence: 99%

Majorana ϕ 0 -junction in a disordered spin-orbit coupling nanowire with tilted magnetic field

Huang¹,

Liang²,

Yao³

et al. 2017

Physica C: Superconductivity and its Applications

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Majorana Josephson junctions in nanowire systems exhibit a pseudo-4π period current-phase relation in the clean limit. In this work, we study how this current-phase relation responds to a tilted magnetic field in a disordered Majorana Josephson junction within the Bogoliubov-de Gennes approach. We show that the tilted magnetic field induces a φ 0 phase shift to the currentphase relation. Most importantly, we find that this φ 0 -junction behavior is robust even in the presence of disorders.

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Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase

Cited by 71 publications

References 40 publications

Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets

Gauge theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets

Anomalous current in diffusive ferromagnetic Josephson junctions

Majorana ϕ 0 -junction in a disordered spin-orbit coupling nanowire with tilted magnetic field

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