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The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

Josephson junctions in two-dimensional topological insulators with embedded magnetic domains can host a number of topological phases, in particular, Jackiw-Rebbi solitons and Majorana zero modes. These different non-trivial phases appear in…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Daniel Gresta , Gianmichele Blasi , Fabio Taddei , Matteo Carrega , Alessandro Braggio , Liliana Arrachea

Due to their nonlocality, qubits nested in Majorana bound states may be the key to realize decoherence-free quantum computation. Majorana bound states could be achieved at the ends of a one-dimensional topological superconductor. However,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field the quasi-one-dimensional region…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Falko Pientka , Anna Keselman , Erez Berg , Amir Yacoby , Ady Stern , Bertrand I. Halperin

We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana fermions through electron tunneling, the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. T. Law , Patrick A. Lee , T. K. Ng

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized…

Strongly Correlated Electrons · Physics 2018-09-12 Aaron Chew , David F. Mross , Jason Alicea

We investigate the topological properties of a Josephson junction obtained by constraining a two-dimensional electron gas at oxide interface to form a quasi-1D conductor. We reveal an anomalous critical current behaviour with a magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Alfonso Maiellaro , Jacopo Settino , Claudio Guarcello , Francesco Romeo , Roberta Citro

We study Josephson junctions based on second-order topological superconductors (SOTSs) which can be realized in quantum spin Hall insulators with large inverted gap in proximity to unconventional superconductors. We find that tuning the…

Superconductivity · Physics 2020-01-22 Song-Bo Zhang , Björn Trauzettel

The interplay of superconductivity, magnetic fields, and spin-orbit interaction lies at the heart of topological superconductivity. Remarkably, the recent experimental discovery of $\varphi_{0}$ Josephson junctions by Szombati et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Constantin Schrade , Silas Hoffman , Daniel Loss

Wide mesoscopic superconducting - normal-metal - superconducting (S-N-S) junctions exhibit Andreev bound states which carry substantial supercurrents, even at temperatures for which the equilibrium Josephson effect is exponentially small…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Nathan Argaman

Topological materials and their unusual transport properties are now at the focus of modern experimental and theoretical research. Their topological properties arise from the bandstructure determined by the atomic composition of a material…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

There are still debates on whether the observed zero energy peak in the experiment by Stevan {\it et al.} [Science 346, 602(2014)] reveals the existence of the long pursuing Majorana bound states (MBS). we propose that, by mounting two…

Superconductivity · Physics 2016-09-09 Ye Xiong

We theoretically investigate the anomalous and diode Josephson effects in planar two-dimensional Josephson junctions with arbitrarily oriented exchange fields in two ferromagnets within the barrier, and spin-orbit coupling at the…

Superconductivity · Physics 2026-05-12 Stevan Djurdjević , Zorica Popović

The nonlocal nature of the fermionic mode spanned by a pair of Majorana bound states in a one-dimensional topological superconductor has inspired many proposals aiming at demonstrating this property in transport. In particular, transport…

Superconductivity · Physics 2015-09-01 Jascha Ulrich , Fabian Hassler

We characterize topological features of Josephson junctions formed by coupled mesoscopic chiral $p$-wave superconducting islands. Through analytic and numerical studies of the low-lying BdG (Bogoliubov-de Gennes) spectrum, we identify…

The Andreev bound state spectra of multi-terminal Josephson junctions form an artificial band structure, which is predicted to host tunable topological phases under certain conditions. However, the number of conductance modes between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Gino V. Graziano , Mohit Gupta , Mihir Pendharkar , Jason T. Dong , Connor P. Dempsey , Chris Palmstrøm , Vlad S. Pribiag

A planar Josephson junction is a versatile platform to realize topological superconductivity over a large parameter space and host Majorana bound states. With a change in Zeeman field, this system undergoes a transition from trivial to…

Mesoscale and Nanoscale Physics · Physics 2024-07-25 Barış Pekerten , David Brandão , Bailey Bussiere , David Monroe , Tong Zhou , Jong E. Han , Javad Shabani , Alex Matos-Abiague , Igor Žutić

Topological Josephson junctions (JJs), which contain Majorana bound states, are expected to exhibit 4$\pi$-periodic current-phase relation, thereby resulting in doubled Shapiro steps under microwave irradiation. We performed numerical…

Superconductivity · Physics 2020-12-30 Yeongmin Jang , Yong-Joo Doh

Topological Josephson junctions carry 4pi-periodic bound states. A finite bias applied to the junction limits the lifetime of the bound state by dynamically coupling it to the continuum. Another characteristic time scale, the phase…

Superconductivity · Physics 2015-06-15 Manuel Houzet , Julia S. Meyer , Driss M. Badiane , Leonid I. Glazman

Hybrid Josephson junctions realized on a two-dimensional electron gas are considered promising candidates for developing topological elements that are easily controllable and scalable. Here, we theoretically study the possibility of the…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 D. Kuiri , M. P. Nowak