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We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

Orbital effects of a magnetic field in a proximitized semiconductor nanowire are studied in the context of the spatial extent of Majorana bound states. We develop analytical model that explains the impact of concurring effects of…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 M. P. Nowak , P. Wójcik

We consider clean cylindrical nanostructures with an applied longitudinal static magnetic field. Without Coulomb interaction, the field induces, for particular values, points of degeneracy where a change of ground state takes place due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Pleutin

We explore superconducting quantum circuits where several leads are simultaneously connected beyond the tunneling regime, such that the fermionic structure of Andreev bound states in the resulting multiterminal Josephson junction influences…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 F. J. Matute-Cañadas , L. Tosi , A. Levy Yeyati

We study nanowire-based Josephson junctions shunted by a capacitor and take into account the presence of low-energy quasiparticle excitations. These are treated by extending conventional models used to describe superconducting qubits to…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Anna Keselman , Chaitanya Murthy , Bernard van Heck , Bela Bauer

We present a powerful and general approach to describe the coupling of Majorana fermions to external leads, of interacting or non-interacting electrons. Our picture has the Klein factors of bosonization appearing as extra Majoranas…

Mesoscale and Nanoscale Physics · Physics 2013-05-24 B. Béri

Experimental evidence for Majorana bound states (MBSs) is so far mainly based on the robustness of a zero-bias conductance peak. However, similar features can also arise due to Andreev bound states (ABSs) localized at the end of an island.…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Michael Hell , Karsten Flensberg , Martin Leijnse

We study both analytically and numerically the role of orbital effects caused by a magnetic field applied along the axis of a semiconducting Rashba nanowire in the topological regime hosting Majorana fermions. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Olesia Dmytruk , Jelena Klinovaja

It is known that the low-energy physics of the Josephson effect in the presence of Majorana zero modes exhibits a $4\pi$ periodicity as the Aharonov-Bohm flux varies in contrast to the $2\pi$ Josephson periodicity in usual superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Ching-Kai Chiu , S. Das Sarma

Superconducting circuits comprising Josephson junctions have spurred significant research activity due to their promise to realize scalable quantum computers. Effective Hamiltonians for these systems have traditionally been derived assuming…

Quantum Physics · Physics 2025-10-02 Thomas J. Maldonado , Alejandro W. Rodriguez , Hakan E. Türeci

We study the low-energy physics of a one-dimensional array of superconducting quantum dots realized by proximity coupling a semiconductor nanowire to multiple superconducting islands separated by narrow uncovered regions. The effective…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 John P. T. Stenger , Benjamin D. Woods , Sergey M. Frolov , Tudor D. Stanescu

We investigate a normal metal -- superconductor (point) contact in the limit where the number of conducting channels in the metallic wire is reduced to few channels. As the effective Fermi energy drops below the gap energy, a conducting…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gordey B. Lesovik , Gianni Blatter

Proposals for studying topological superconductivity and Majorana bound states in nanowires proximity coupled to superconductors require that transport in the nanowire is ballistic. Previous work on hybrid nanowire-superconductor systems…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 S. T. Gill , J. Damasco , D. Car , E. P. A. M. Bakkers , N. Mason

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

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

Josephson junctions formed by finite-length topological superconductors host four Majorana zero modes when the phase difference between the superconductors is $\varphi=\pi$ and their length is larger than the Majorana localization length.…

Superconductivity · Physics 2025-12-23 Jorge Cayao , Masatoshi Sato

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

Coupling a semiconducting nanowire to a microwave cavity provides a powerfull means to assess the presence or absence of isolated Majorana fermions in the nanowire. These exotic bound states can cause a significant cavity frequency shift…

Mesoscale and Nanoscale Physics · Physics 2013-11-15 Audrey Cottet , Takis Kontos , Benoit Douçot

For the search of Majorana fermions, we propose to employ a ramp-type Josephson edge junction between a normal metal such as Au, Ag or alloys of heavy metals and a topologically-trivial dx2-y2 wave high-Tc superconductor YBa2Cu3O7. The…

Superconductivity · Physics 2013-06-24 Chang C. Tsuei

Disorder effects in hybrid semiconductor-superconductor (SM-SC) nanowires, widely recognized as the main obstacle to realizing stable Majorana zero modes (MZMs) in these structures, have been systematically investigated theoretically in…

Superconductivity · Physics 2025-04-08 Purna P. Paudel , Nathan O. Smith , Tudor D. Stanescu