Phase‐locking and microwave impedance of Josephson junctions with linear‐periodic current‐phase relations

In the frame of Usadel equation the two-dimensional nonlinear boundary problem for heterostructures with complex ferromagnetic (F)/normal metal (N) interlayer has been solved numerically for arbitrary values of electrodes spacing L, thickness dN and dF of N and F films. We calculate the current-phase relations for ramp-type S-NF-S and overlap-type SFN-FN-NFS junctions. We have found the range of parameters providing an opportunity for realization of Josephson φ-junction based on the considered structures.

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Josephson junctions with nonsinusoidal current-phase relations based on heterostructures with a ferromagnetic spacer and their applications

Physics of the Solid State ◽

10.1134/s1063783410110053 ◽

2010 ◽

Vol 52 (11) ◽

pp. 2246-2251 ◽

Cited By ~ 15

Author(s):

N. V. Klenov ◽

N. G. Pugach ◽

A. V. Sharafiev ◽

S. V. Bakurskiy ◽

V. K. Kornev

Keyword(s):

Josephson Junctions ◽

Phase Relations ◽

Current Phase

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Radiation-induced steps for Josephson junctions with linear-periodic current-phase relation

Journal of Low Temperature Physics ◽

10.1007/bf00655713 ◽

1977 ◽

Vol 27 (5-6) ◽

pp. 887-902 ◽

Cited By ~ 7

Author(s):

J. Kadlec ◽

K. H. Gundlach

Keyword(s):

Phase Relation ◽

Josephson Junctions ◽

Current Phase ◽

Radiation Induced ◽

Periodic Current

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Current–phase relations of few-mode InAs nanowire Josephson junctions

Nature Physics ◽

10.1038/nphys4224 ◽

2017 ◽

Vol 13 (12) ◽

pp. 1177-1181 ◽

Cited By ~ 32

Author(s):

Eric M. Spanton ◽

Mingtang Deng ◽

Saulius Vaitiekėnas ◽

Peter Krogstrup ◽

Jesper Nygård ◽

...

Keyword(s):

Josephson Junctions ◽

Phase Relations ◽

Current Phase

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Nonsinusoidal current-phase relations and the0−πtransition in diffusive ferromagnetic Josephson junctions

Physical Review B ◽

10.1103/physrevb.73.134503 ◽

2006 ◽

Vol 73 (13) ◽

Cited By ~ 17

Author(s):

G. Mohammadkhani ◽

M. Zareyan

Keyword(s):

Josephson Junctions ◽

Phase Relations ◽

Current Phase

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Missing Shapiro steps in topologically trivial Josephson junction on InAs quantum well

Nature Communications ◽

10.1038/s41467-020-20382-y ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

Matthieu C. Dartiailh ◽

Joseph J. Cuozzo ◽

Bassel H. Elfeky ◽

William Mayer ◽

Joseph Yuan ◽

...

Keyword(s):

Quantum Wells ◽

Josephson Junctions ◽

Current Phase ◽

Majorana Fermions ◽

Spin Orbit Coupling ◽

Shapiro Steps ◽

Experimental Consequence ◽

Periodic Current ◽

Strong Spin ◽

Topological Superconductivity

AbstractJosephson junctions hosting Majorana fermions have been predicted to exhibit a 4π periodic current phase relation. One experimental consequence of this periodicity is the disappearance of odd steps in Shapiro steps experiments. Experimentally, missing odd Shapiro steps have been observed in a number of materials systems with strong spin-orbit coupling and have been interpreted in the context of topological superconductivity. Here we report on missing odd steps in topologically trivial Josephson junctions fabricated on InAs quantum wells. We ascribe our observations to the high transparency of our junctions allowing Landau-Zener transitions. The probability of these processes is shown to be independent of the drive frequency. We analyze our results using a bi-modal transparency distribution which demonstrates that only few modes carrying 4π periodic current are sufficient to describe the disappearance of odd steps. Our findings highlight the elaborate circumstances that have to be considered in the investigation of the 4π Josephson junctions in relationship to topological superconductivity.

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