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Topological superconductors admit zero-energy Majorana bound states at their boundaries. In this review article, we discuss how to probe these Majorana bound states in Josephson junctions between two topological superconductors. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Driss M. Badiane , Leonid I. Glazman , Manuel Houzet , Julia S. Meyer

Superconducting topological systems formed by a strong 3D topological insulator (TI) in proximity to a conventional $s$-wave superconductor (SC) have been intensely studied as they may host Majorana zero modes. However, there are limited…

When a Josephson junction is exposed to microwave radiation, it undergoes the inverse AC Josephson effect - the phase of the junction locks to the drive frequency. As a result, the I-V curves of the junction acquire "Shapiro steps" of…

Fractional Josephson effect is a unique character of Majorana Fermions in topological superconductor system. This effect is very difficult to detect experimentally because of the disturbance of quasiparticle poisoning and unwanted couplings…

Quantum Physics · Physics 2017-08-10 Zhen-Tao Zhang , Zheng-Yuan Xue , Yang Yu

We experimentally investigate Josephson current between two 5~$\mu$m spaced superconducting indium leads, coupled to a NiTe$_2$ single crystal flake, which is a type-II Dirac semimetal. Under microwave irradiation, we demonstrate a.c.…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 D. Yu. Kazmin , V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

The missing first Shapiro step in microwave-irradiated Josephson junctions has been widely interpreted as a hallmark of Majorana bound states. However, conventional mechanisms like junction underdamping or Joule heating can produce similar…

We theoretically study the Shapiro steps in a hetero Josephson junction made of a single-gap superconductor and a two-gap one. We find that an anomalous DC Josephson current is induced by tuning the frequency of an applied microwave to the…

Superconductivity · Physics 2010-10-28 Yukihiro Ota , Masahiko Machida , Tomio Koyama

The absence of odd-order Shapiro steps is a predicted signature of topological superconductors. Experimentally, the missing first-order Shapiro step has been reported in both putative topological superconducting systems and topologically…

Superconductivity · Physics 2025-11-17 Xingjun Wu , Haitian Su , Chuanchang Zeng , Ji-Yin Wang , Shili Yan , Dong Pan , Jianhua Zhao , Po Zhang , H. Q. Xu

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the…

Superconductivity · Physics 2020-11-04 Satoshi Ikegaya , Shun Tamura , Dirk Manske , Yukio Tanaka

We study Superconductor-Ferromagnet-Superconductor (Nb-Cu0.47 Ni0.53-Nb) Josephson junctions with spatial variations in the barrier thickness. Critical current vs. magnetic flux diffraction patterns indicate that the critical current…

Superconductivity · Physics 2007-05-23 S. M. Frolov , D. J. Van Harlingen , V. V. Bolginov , V. A. Oboznov , V. V. Ryazanov

We investigate theoretical aspects of the detection of Majorana bound states in Josephson junctions using the semiclassical RCSJ model of junction dynamics. The influence of a 4$\pi$-periodic supercurrent contribution can be detected…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Jordi Picó-Cortés , Fernando Domínguez , Gloria Platero

The Josephson effect presents a fundamental example of macroscopic quantum coherence as well as a crucial enabler for metrology (e.g. voltage standard), sensing (e.g. Superconducting Quantum Interference Device) and quantum information…

Quantum Gases · Physics 2025-07-03 Nalinikanta Pradhan , Rina Kanamoto , M. Bhattacharya , Pankaj Kumar Mishra

We present measurements of microwave-induced Shapiro steps in a superconducting nanobridge weak link in the dissipative branch of a hysteretic current-voltage characteristic. We demonstrate that Shapiro steps can be used to infer a reduced…

Superconductivity · Physics 2020-03-04 Connor D. Shelly , Patrick See , Ivan Rungger , Jonathan M. Williams

It has been predicted that superconducting junctions made with topological nanowires hosting Majorana bound states (MBS) exhibit an anomalous 4\pi-periodic Josephson effect. Finding an experimental setup with these unconventional properties…

Mesoscale and Nanoscale Physics · Physics 2012-06-20 Pablo San-Jose , Elsa Prada , Ramon Aguado

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt

We present a Josephson junction based on a Ge-Si core-shell nanowire with transparent superconducting Al contacts, a building block which could be of considerable interest for investigating Majorana bound states, superconducting qubits and…

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 unconventional $4\pi$-periodic Josephson effect…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Fernando Domínguez , Fabian Hassler , Gloria Platero

We treat theoretically Shapiro steps in tunnel Josephson junctions with spatially alternating critical current density. Explicit analytical formulas for the width of the first integer (normal) and half-integer (anomalous) Shapiro steps are…

Superconductivity · Physics 2009-11-13 M. Moshe , R. G. Mints

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogeneous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately. Here, we demonstrate the possibility…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Björn Sothmann , Jian Li , Markus Büttiker