Spontaneous Josephson 
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 junctions with topological superconductors

Haim, Arbel

doi:10.1103/physrevb.100.064505

Cited by 10 publications

(5 citation statements)

References 45 publications

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“…When the Cooper pairs contributing to the current have spin-triplet correlations, they undergo a spin rotation in the tunnelling across the junction due to the presence of the RSOC α n in the semiconducting wire, allowing for a SOC controlled oscillatory critical current with a 0-π transition in TSC/SOC-semiconductor/TSC Josephson junctions, both for class D TSCs [65] and DIII TSCs [67].…”

Section: Josephson Effectmentioning

confidence: 99%

Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

2020

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We consider a Rashba spin-orbit coupled nanowire with anisotropic spin-singlet superconducting pairing and time-reversal-invariant symmetry. We explore the evolution of the topological superconducting phases of this system due to geometric deformations for the representative case of a wire bent in a semielliptical shape. We find that when the system is in its topological superconducting phase, strong inhomogeneities in the profile curvature can produce a pair of localized eigenmodes, which can be attributed to a nonuniform topological phase. The curved geometric profile also allows to tune the spin correlations of the superconducting state via the induced inhomogeneity of the spin-orbit coupling (SOC). The geometric control of the superconducting pair correlations allows to manipulate the critical current in Josephson junctions made up of two time reversal invariant topological superconductors separated by a spin-orbit coupled normal metal. In particular, we find that the curvature inhomogeneity can be exploited for amplifying the current intensity, but also to generate a 0 − π transition, and a second harmonic contribution, which generates, for some specific geometric configurations, a ϕ-junction behavior.

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Section: Josephson Effectmentioning

confidence: 99%

Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

2020

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“…At θ n = 0 corresponds to β = 0, Andreev levels in Eq. ( 16) is a topological π-junction with a period of 4π [68][69][70][71] . As the incident angle increases, particularly at θ n = ±π/2 corresponds to β = ±π/2, the CPR shows a conventional 0-junction with a period of 2π.…”

Section: B Perfect Contact Casesmentioning

confidence: 99%

Intrinsic Andreev $π$-reflection and Josephson $π$-junction for centrosymmetric spin-triplet superconductors

Leng¹,

Li²,

Liu³

2020

Preprint

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In this work, we systematically study two phases, called Andreev π-phase and orbital-phase, and their influence on the Josephson effect. When the system is time-reversal invariant and centrosymmetric, these two phases only appear in the odd-parity pairings. The Andreev π-phase has nothing to do with the specific form of the odd-parity pairings and means an intrinsic π-phase between the spin-triplet Cooper pairs entering and leaving CTSCs in the Andreev reflections. The orbitalphase corresponds to the phase difference between the spin-triplet Cooper pairs with opposite spin polarization and depends on the specific form of the odd-parity gap functions. When the normal region of the Josephson junction contacts the same side of the CTSCs with some specific odd-parity parings, the competition between the two phases can lead to the Josephson π-junction. Note that this junction is different from that of the conventional Josephson junction (JJ) and is dubbed a U-shaped junction according to its geometry. Meanwhile, in a conventional JJ, the interplay of these two phases causes their impact on the CPR to be completely canceled out. Therefore no matter what kind of pairing symmetries the CTSC has, it will lead to Josephson 0-junction in this case. We obtain our results based on the model of the MxBi2Se3 family where M may be Cu, Sr, or Nb. Therefore, we propose to detect the pairing symmetry of MxBi2Se3 through a superconducting quantum interference device containing a U-shaped Josephson junction.

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“…The promising platforms to engineer topological superconductivity are semiconducting Rashba nanowires (NWs) subjected to a uniform magnetic field [6][7][8][9][10][11][12] or chains of magnetic adatoms [13][14][15][16][17][18][19][20][21]. However, magnetic field and superconductivity have detrimental effects on each other, which has motivated proposals for timereversal invariant topological superconductors to avoid the need of magnetic fields, particular examples being double-NW setups with Karmers pairs of MBSs [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. In such setups, two types of proximity induced superconductivity play a crucial role: intrawire (∆) and interwire (∆ c ) superconductivity.…”

Section: Introductionmentioning

confidence: 99%

Transport signatures of topological phases in double nanowires probed by spin-polarized STM

Thakurathi,

Chevallier,

Loss

et al. 2020

Preprint

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We study a double-nanowire setup proximity coupled to an s-wave superconductor and search for the bulk signatures of the topological phase transition that can be observed experimentally, for example, with an STM tip. Three bulk quantities, namely, the charge, the spin polarization, and the pairing amplitude of intrawire superconductivity are studied in this work. The spin polarization and the pairing amplitude flip sign as the system undergoes a phase transition from the trivial to the topological phase. In order to identify promising ways to observe bulk signatures of the phase transition in transport experiments, we compute the spin current flowing between a local spinpolarized probe, such as an STM tip, and the double-nanowire system in the Keldysh formalism. We find that the spin current contains information about the sign flip of the bulk spin polarization and can be used to determine the topological phase transition point.

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Spontaneous Josephson π junctions with topological superconductors

Cited by 10 publications

References 45 publications

Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

Intrinsic Andreev $π$-reflection and Josephson $π$-junction for centrosymmetric spin-triplet superconductors

Transport signatures of topological phases in double nanowires probed by spin-polarized STM

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