Magnetic field resistant quantum interferences in Josephson junctions based on bismuth nanowires

Li, Chuan; Kasumov, A.; Murani, Anil; Sengupta, Shamashis; Fortuna, F.; Napolskii, K. S.; Koshkodaev, D.; Tsirlina, Galina A.; Kasumov, Yu. A.; Khodos, I. I.; Deblock, R.; Ferrier, M.; Guéron, S.; Bouchiat, H.

doi:10.1103/physrevb.90.245427

Cited by 32 publications

(39 citation statements)

References 40 publications

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“…As we show below, our model can provide a simple fit of the oscillatory behavior discovered in Ref. [20], being, thus, a promising candidate for the description of the interference physics in such systems.…”

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confidence: 89%

“…Turning to the existing experimental data, we must note that the multiperiodic magnetic oscillations have recently been observed in measurements of the Josephson critical current through the Bi nanowires [20]. Such wires are known to reveal the unusual combination of properties mentioned above: (i) strong Rashba spin-orbit coupling with the energy comparable to the Fermi energy [21,22], (ii) large g-factor ∼10 2 for certain directions of the magnetic field [23], (iii) large Fermi wavelength λ F ∼ 50 nm [24], which makes it easy to create nearly onedimensional wires.…”

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confidence: 97%

“…(3) and replacep with ðp þ jejA x =cÞ, where A x ðyÞ ¼ −Hy. We intentionally choose the direction of the magnetic field which assumes the absence of the mixing of spin bands and the resulting Majorana states [27][28][29] to focus on the study of interference effects relevant to the experiment [20]. Our strategy is to find the quasiclassical solutions of Eq.…”

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confidence: 99%

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Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Миронов¹,

Mel’nikov²,

Buzdin³

2015

Phys. Rev. Lett.

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We show that the critical current of the Josephson junction consisting of superconducting electrodes coupled through a nanowire with two conductive channels can reveal the multiperiodic magnetic oscillations. The multiperiodicity originates from the quantum mechanical interference between the channels affected by both the strong spin-orbit coupling and the Zeeman interaction. This minimal two-channel model is shown to explain the complicated interference phenomena observed recently in Josephson transport through Bi nanowires.

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confidence: 89%

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confidence: 97%

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confidence: 99%

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Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Миронов¹,

Mel’nikov²,

Buzdin³

2015

Phys. Rev. Lett.

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“…For example, in S|F|S junctions the transition between 0 and π states can occur by changing the temperature [10,[24][25][26], but this transition requires the presence of magnetic impurities and very precise choice of the F-layer thickness. A more realistic situation is realized in the Josephson systems containing ballistic Bi nanowires or InSb quantum dots where the interplay between strong spin-orbit and Zeeman interactions enables the formation of π and ϕ 0 states, which can be tuned by an external magnetic field [18,20,27]. …”

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Anomalous Josephson effect controlled by an Abrikosov vortex

et al. 2017

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The possibility of a fast and precise Abrikosov vortex manipulation by a focused laser beam opens the way to create laser-driven Josephson junctions. We theoretically demonstrate that a vortex pinned in the vicinity of the Josephson junction generates an arbitrary ground state phase which can be equal not only to 0 or π but to any desired ϕ 0 value in between. Such ϕ 0 junctions have many peculiar properties and may be effectively controlled by the optically driven Abrikosov vortex. Also we theoretically show that the Josephson junction with the embedded vortex can serve as an ultrafast memory cell operating at sub THz frequencies. I. INTRODUCTIONJosephson junctions (JJs) with nonzero spontaneous phase difference between the superconducting electrodes in the ground state (the so-called π , ϕ 0 , and ϕ JJs) have become the subject of intensive theoretical and experimental study during the past decade [1,2]. The most striking feature of such junctions is their ability to generate a current in the superconducting circuit, thus acting as a phase battery [3][4][5][6]. In addition, relatively small variation of the system parameters may provoke dramatic changes in the ground state phase difference, which is believed to provide new effective tools for controlling the currents in microelectronic devices (see, e.g., Refs. [7,8]).There are several generic mechanisms leading to the spontaneous appearance of nonzero Josephson phase. The basic one reveals when the superconducting (S) electrodes are separated by a ferromagnetic (F) layer. The exchange field inside the ferromagnet produces the spatial oscillations of the Cooper pair wave function, and depending on the ratio between the oscillation period and the F-layer thickness the ground state phase is equal to 0 or π (these cases are referred as 0 or π JJs, respectively) [9][10][11]. A peculiar situation is realized when the thickness d of the ferromagnet varies along the junction in a way that in some parts of the ferromagnet the value of d corresponds to the 0 state while in other parts to the π state (see Ref. [12] and references therein). If there is only a slight difference between the areas of the "0" and "π " regions the phase frustration can result in the appearance of a state with the spontaneous phase difference φ = ±ϕ = 0,π which is degenerate (ϕ JJ) (see Ref.[13] and references therein). A similar effect takes place in Josephson junctions with the current injectors acting as an effective source of the phase jumps along the junction (see and references therein). One can also obtain a ϕ 0 JJ, where the ground state phase φ = ϕ 0 is not degenerate, e.g., using the JJs with broken inversion symmetry [17]. In this case the superconducting current I through the junction should not be necessarily an odd function of the phase difference φ and can take the form I = I c sin(φ + ϕ 0 ) [17]. Such situation is realized in the S|F|S junctions with strong spin-orbit coupling (see and references therein) or complicated noncollinear distribution of the magnetization (see an...

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“…Indeed, a recent work studies a similar beating effect in a one-dimensional wire geometry [26], to explain multiperiodic Fraunhofer oscillations observed in Bi nanowires [27].…”

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confidence: 99%

Even-odd flux quanta effect in the Fraunhofer oscillations of an edge-channel Josephson junction

2015

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We calculate the beating of h/2e and h/e periodic oscillations of the flux-dependent critical supercurrent I c ( ) through a quantum spin-Hall insulator between two superconducting electrodes. A conducting pathway along the superconductor connects the helical edge channels via a nonhelical channel, allowing an electron incident on the superconductor along one edge to be Andreev reflected along the opposite edge. In the limit of small Andreev reflection probability the resulting even-odd effect is described by I c ∝ | cos(e / ) + f |, with |f | 1 proportional to the probability for phase-coherent interedge transmission. Because the sign of f depends on microscopic details, a sample-dependent inversion of the alternation of large and small peaks is a distinctive feature of the beating mechanism for the even-odd effect. Superconductor-normal-metal-superconductor junctions with edge channel conduction in the normal region are governed by the interplay of charge e and charge 2e transport: Charge can only enter or exit the superconductor in units of 2e, but in the normal region this Cooper pair can be split over opposite edges, when an electron incident on the normalsuperconductor (NS) interface along one edge is Andreev reflected as a hole along the opposite edge.For quantum Hall edge channels this mechanism produces Fraunhofer oscillations (oscillations of the critical current with enclosed flux ) having a fundamental period of h/e, twice the usual periodicity [1]. These are chiral edge channels, so Andreev reflection along the edge of incidence is forbidden and only the circulating path of Fig. 1(a) contributes to the supercurrent. When the edge channels allow for propagation in both directions, the critical current includes the usual h/2e-periodic contributions from Andreev reflection along a single edge, and further h/e periodic contributions from circulating paths without charge transfer [ Fig. 1(b)].Here we investigate this beating of h/e and h/2e periodic contributions to the Fraunhofer oscillations. We are motivated by recent work on proximity induced superconductivity in quantum spin-Hall (QSH) insulators [2][3][4][5][6][7][8], which in one series of experiments [4] showed Fraunhofer oscillations with an even-odd effect: Large peaks in the critical current at even multiples of h/2e alternate with smaller peaks at odd multiples.The QSH insulator has helical edge channels (with direction of motion tied to the spin), so we consider that case in what follows (although the beating mechanism for the even-odd effect does not rely on helicity). Following Ref.[6] we assume that the superconductors dope the contacted QSH insulator, locally pushing the Fermi level in the conduction band. The broad conducting pathway that appears along the NS interface will be gapped by the superconducting proximity effect, but a narrow gapless channel may remain because superconductivity only becomes effective at some penetration length ξ 0 from the NS interface. (Reference [4] estimates ξ 0 240 nm, comparable to the estimated width o...

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Magnetic field resistant quantum interferences in Josephson junctions based on bismuth nanowires

Cited by 32 publications

References 40 publications

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Anomalous Josephson effect controlled by an Abrikosov vortex

Even-odd flux quanta effect in the Fraunhofer oscillations of an edge-channel Josephson junction

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