• Corpus ID: 235265984

Model for missing Shapiro steps due to bias-dependent resistance

  title={Model for missing Shapiro steps due to bias-dependent resistance},
  author={Sanchayeta Ranajit Mudi and Sergey M. Frolov},
Majorana zero modes are predicted in several solid state systems such as hybrid superconductorsemiconductor structures and topological insulators coupled to superconductors. One of the expected signatures of Majorana modes is the fractional 4π Josephson effect. Evidence in favor of this effect often comes from a.c. Josephson effect measurements and focuses on the observation of missing first or higher odd-numbered Shapiro steps. However, the disappearance of the odd Shapiro steps has also been… 
2 Citations

Figures and Tables from this paper

Leggett Modes in Dirac Semimetals
In recent years experimentalists have been able to clearly show that several materials, such as MgB 21,2 , iron-based superconductors 3 , monolayer NbSe 24,5 , are multiband superconductors.
Fractional AC Josephson effect in a topological insulator proximitized by a self-formed superconductor
Ilan T. Rosen, 2 Christie J. Trimble, Molly P. Andersen, 2 Evgeny Mikheev, 2 Yanbin Li, Yunzhi Liu, Lixuan Tai, Peng Zhang, Kang L. Wang, Yi Cui, 2 M. A. Kastner, 2, 7 James R. Williams, 5, 2 and


Missing Shapiro steps in topologically trivial Josephson junction on InAs quantum well
Observations of missing odd Shapiro steps in topologically trivial Josephson junctions due to high transparency of the junctions are observed, calling for caution in relationship to topological superconductivity.
Dynamical detection of Majorana fermions in current-biased nanowires
We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an
Supercurrent Interference in Few-Mode Nanowire Josephson Junctions.
It is found that the interference between the few occupied one-dimensional modes in the nanowire to be the dominant mechanism responsible for the critical current behavior, and a strong suppression of critical currents at finite magnetic fields is reported that should be taken into account when designing circuits based on Majorana bound states.
4π-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
The observation of an anomalous response to rf irradiation in a Josephson junction made of a HgTe weak link is reported, understood as due to a 4π-periodic contribution to the supercurrent, and its amplitude is compatible with the expected contribution of a gapless Andreev doublet.
Observation of the 4π-periodic Josephson effect in indium arsenide nanowires
The microwave radiation emitted by an InAs nanowire Josephson junction is used to observe the 4π-periodic Josephson effect, a hallmark of the topological phase.
Gapless Andreev bound states in the quantum spin Hall insulator HgTe.
Experimental evidence for topological superconductivity induced in a HgTe quantum well, a 2D topological insulator that exhibits the quantum spin Hall (QSH) effect is reported.
Dynamics of Majorana states in a topological Josephson junction.
This work shows that the 4π periodicity manifests itself by an even-odd effect in Shapiro steps only if the phase adjustment time is shorter than the lifetime of the bound state.
Fractional ac Josephson effect in p- and d-wave superconductors
For certain orientations of Josephson junctions between two px-wave or two d-wave superconductors, the subgap Andreev bound states produce a $4\pi$-periodic relation between the Josephson current I
Topological superconductivity in hybrid devices
Topological superconductivity can emerge from the combination of conventional superconductivity in a metal and strong spin–orbit coupling in a semiconductor when they are made into a hybrid device.
Spin-Orbit Splitting of Andreev States Revealed by Microwave Spectroscopy
We have performed microwave spectroscopy of Andreev states in superconducting weak links tailored in an InAs-Al (core-full shell) epitaxially-grown nanowire. The spectra present distinctive features,