Publisher's Note: Josephson junction detectors for Majorana modes and Dirac fermions [Phys. Rev. B 
<b>92</b>
, 224501 (2015)]

Maiti, Moitri; Kulikov, K. V.; Sengupta, K.; Shukrinov, Yu. M.

doi:10.1103/physrevb.97.219904

Cited by 9 publications

(20 citation statements)

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“…Discovery of Majorana fermions seems very interesting from the point of fault-tolerant quantum computing [19]. There are few papers devoted to dynamical properties of single JJs with Majorana term (4) [20][21][22]. Fractional CPR was observed in a very recent study [23].…”

Section: Introductionmentioning

confidence: 99%

Effects of Thermal Fluctuations on Dynamics of Josephson Junction with Unconventional Current-Phase Relation

Askerzade

2019

J Supercond Nov Magn

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In this study, we carried out the analysis of the thermal fluctuations on Josephson junction (JJ) dynamics with unconventional current-phase relation (CPR). We analyzed two cases of CPR: the anharmonic term case and the case of Majorana term. An expression was obtained for the delay time and the critical current fluctuations in the case of linear growth of current via junction in two limits: low and high growth rate. The dynamical properties of JJ with unconventional CPR are determined by the renormalized critical current of JJ.

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Section: Introductionmentioning

confidence: 99%

Effects of Thermal Fluctuations on Dynamics of Josephson Junction with Unconventional Current-Phase Relation

Askerzade

2019

J Supercond Nov Magn

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“…We also study the AC Josephson effect in such junctions subjected to an applied voltage V (t) = V 0 + V 1 cos(ωt) and find multiple Shapiro steps at ω = mω J /n, where m, n are integers and ω J = 2eV 0 / is the Josephson frequency. We note that such Josephson junctions can exhibit Shapiro steps when ω/ω J is any rational fraction; this is in sharp contrast to the steps found in generic junctions only when ω/ω J is an integer [61][62][63] . Thus such steps distinguish these junctions from their standard s-wave counterparts.…”

Section: Introductionmentioning

confidence: 90%

“…In this section, we will study the phenomenon of Shapiro plateaus [61][62][63] which can appear when a voltage bias is applied which has both a constant and an oscillating term, i.e.,…”

Section: B Shapiro Plateausmentioning

confidence: 99%

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One-dimensional spin-orbit coupled Dirac system with extended $s$-wave superconductivity: Majorana modes and Josephson effects

Udupa¹,

Banerjee²,

Sengupta³

et al. 2020

Preprint

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We study a one-dimensional system of spin-orbit coupled Dirac electrons with s-wave superconducting pairing. Both lattice and continuum models are studied. In the lattice model, we find that zero energy end modes appear provided that the s-wave pairing has an extended form, and the nearest-neighbor pairing is larger than the on-site pairing. We confirm this both numerically and analytically by calculating the winding number. We find that the continuum model also has zero energy end modes. Next we study a lattice version of a model with both Schrödinger and Dirac-like terms and find that the model hosts a topological transition between topologically trivial and non-trivial phases depending on the relative strength of the Schrödinger and Dirac terms. Finally, we study a continuum system consisting of two s-wave superconductors with different phases of the pairing, with a δ-function potential barrier lying at the junction of the two superconductors. We find that the system has a single Andreev bound state which is localized at the junction. When the pairing phase difference crosses a multiple of 2π, an Andreev bound state touches the top of the superconducting gap and disappears, and a different state appears from the bottom of the gap. We also study the AC Josephson effect in such junctions with a voltage bias that has both a constant V0 and a term which oscillates with a frequency ω. We find that, in contrast to standard Josephson junctions, Shapiro plateaus appear when the Josephson frequency ωJ = 2eV0/ is a rational fraction of ω. We discuss experiments which can realize such junctions.

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“…The connection between the staircase structure and current-phase relation provides an intriguing point in this field of science. Especially, the manifestation of the staircase structure in the IV-characteristics of the junction with the corresponding information on current-phase relation [38][39][40][41][42] , thus, serves as a novel method for its determination. The appearance of the DS structure and its connection with the current-phase relation in experimental situations still in need for detailed investigations.…”

Section: Introductionmentioning

confidence: 99%

Devil's staircase structures in $φ_{0}$ junction

Nashaat,

Shukrinov,

Ellithi

et al. 2019

Preprint

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The superconductor-ferromagnet-superconductor ϕ0 junction provides a direct coupling between Josephson phase and magnetic moment of ferromagnetic barrier. We demonstrate an appearance of additional fractional subharmonic steps in the IV-characteristics of ϕ0 junction under external electromagnetic radiation due to spin-orbit coupling. An origin of subharmonic steps is related to the locking of magnetic moment precession to the Josephson oscillations. We prove that the positions of those steps follow a continued fraction algorithm.

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Publisher's Note: Josephson junction detectors for Majorana modes and Dirac fermions [Phys. Rev. B 92 , 224501 (2015)]

Cited by 9 publications

References 0 publications

Effects of Thermal Fluctuations on Dynamics of Josephson Junction with Unconventional Current-Phase Relation

Effects of Thermal Fluctuations on Dynamics of Josephson Junction with Unconventional Current-Phase Relation

One-dimensional spin-orbit coupled Dirac system with extended $s$-wave superconductivity: Majorana modes and Josephson effects

Devil's staircase structures in $φ_{0}$ junction

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