Current-phase relation and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math>-periodic critical current of a chiral Josephson contact between one-dimensional Majorana modes

Shapiro, D. S.; Shnirman, Alexander; Mirlin, A. D.

doi:10.1103/physrevb.93.155411

Cited by 11 publications

(11 citation statements)

References 28 publications

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“…It is the purpose of this work to identify electrical signatures of edge vortices, and to distinguish these from the familiar electronic transport properties of Majorana fermions [8][9][10][11][12][13][14][15][16]. For that purpose we contrast the two injection geometries shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

Beenakker¹,

Oriekhov²

2020

SciPost Phys.

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The chiral edge modes of a topological superconductor support two types of excitations: fermionic quasiparticles known as Majorana fermions and \bm\pi𝛑-phase domain walls known as edge vortices. Edge vortices are injected pairwise into counter-propagating edge modes by a flux bias or voltage bias applied to a Josephson junction. An unpaired edge mode carries zero electrical current on average, but there are time-dependent current fluctuations. We calculate the shot noise power produced by a sequence of edge vortices and find that it increases logarithmically with their spacing — even if the spacing is much larger than the core size so the vortices do not overlap. This nonlocality produces an anomalous \bm{V\ln V}𝐕ln𝐕 increase of the shot noise in a voltage-biased geometry, which serves as a distinguishing feature in comparison with the linear-in-\bm V𝐕 Majorana fermion shot noise.

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Section: Introductionmentioning

confidence: 99%

Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

Beenakker¹,

Oriekhov²

2020

SciPost Phys.

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“…This setup, previously studied in Ref. [21], is based on the ideas of the above mentioned interferometers [11,[13][14][15][16]], but it is actually dual to those interferometers because in our case the normal Fermiliquid contacts are replaced by superconductors and Majorana edges while the interference loop involves the normal channels.…”

Section: Introductionmentioning

confidence: 99%

“…The equilibrium Josephson transport, the thermoelectric effect and the heat conductance controlled by the Aharonov-Bohm flux, enclosed by the chiral loop (see Fig. 1 (b)), were explored in [21,22] for this system. The current-phase relationships might have spikes or infinite derivatives for when both Aharonov-Bohm and the bias phases approach 2πn, the points where the spectrum of Andreev states is highly degenerate.…”

Section: Introductionmentioning

confidence: 99%

Excess equilibrium noise in a topological SNS junction between chiral Majorana liquids

2018

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We consider a Josephson contact mediated by 1D chiral modes on a surface of a 3D topological insulator with superimposed superconducting and magnetic layers. The system represents an interferometer in which 1D chiral Majorana modes on the boundaries of superconducting electrodes are linked by ballistic chiral Dirac channels. We investigate the noise of the Josephson current as a function of the dc phase bias and the Aharonov-Bohm flux. Starting from the scattering formalism, a Majorana representation of the Keldysh generating action for cumulants of the transmitted charge is found. At temperatures higher than the Thouless energy E Th , we obtain the usual Johnson-Nyquist noise, 4G0kBT , characteristic for a single-channel wire with G0 ≡ e 2 /(2π ). At lower temperatures the behavior is much richer. In particular, the equilibrium noise is strongly enhanced to a temperature-independent value ∼ G0E Th if the Aharonov-Bohm and superconducting phases are both close to 2πn, which are points of emergent degeneracy in the ground state of the junction. The equilibrium noise is related to the Josephson junction's impedance via the fluctuation-dissipation theorem. In a striking contrast to usual Josephson junctions (tunnel junctions between two s-wave superconductors), the real part of the impedance does not vanish, reflecting the gapless character of Majorana modes in the leads.

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“…Interferometers based on chiral Majorana modes should allow probing the nontrivial physics of these systems [14][15][16][17][18][19][20][21][22][23][24]. The first proposals addressed the dctransport [14,15].…”

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confidence: 99%

Microwave response of a chiral Majorana interferometer

Shapiro,

Mirlin,

Shnirman

2021

Preprint

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Current-phase relation andh/e-periodic critical current of a chiral Josephson contact between one-dimensional Majorana modes

Cited by 11 publications

References 28 publications

Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

Excess equilibrium noise in a topological SNS junction between chiral Majorana liquids

Microwave response of a chiral Majorana interferometer

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