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We derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of any-\pi\ Josephson…

Superconductivity · Physics 2012-10-25 D. I. Pikulin , Yuli V. Nazarov

Topological superconductivity is expected to spur Majorana zero modes -- exotic states that are also considered a quantum technology asset. Fractional Josephson effect is their manifestation in electronic transport measurements, often under…

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Liliana Arrachea , Alberto Camjayi , Armando A. Aligia , Leonel Gruñeiro

In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

The first evidence of anomalous Josephson effect is reported in mesoscopic superconductor-normal metal-superconductor (SNS) junctions forming a crosslike Andreev Interferometer in the absence of magnetic and spin-orbit interactions normally…

Superconductivity · Physics 2023-06-02 D. Margineda , J. S. Claydon , F. Qejvanaj , C. Checkley

We study a non-Hermitian (NH) $sl(2)$ affine Toda model coupled to fermions through soliton theory techniques and the realizations of the pseudo-chiral and pseudo-Hermitian symmetries. The interplay of non-Hermiticity, integrability,…

High Energy Physics - Theory · Physics 2024-04-10 Harold Blas

We theoretically study a Kitaev wire interrupted by an extra site which gives rise to super exchange coupling between two Majorana bound states. We show that this system hosts a tunable, non-equlibrium Josephson effect with a characteristic…

Quantum Gases · Physics 2016-08-22 C. Laflamme , J. C. Budich , P. Zoller , M. Dalmonte

By calculating the differential tunneling conductance spectra from the two ends of a Majorana nanowire with a quantum dot embedded at one end, we establish that a careful examination of the nonlocal correlations of the zero bias conductance…

Superconductivity · Physics 2019-07-08 Yi-Hua Lai , Jay D. Sau , Sankar Das Sarma

Josephson junctions hosting Majorana fermions have been predicted to exhibit a 4$\pi$ periodic current phase relation. The experimental consequence of this periodicity is the disappearance of odd steps in Shapiro steps experiments.…

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 J. Avila , E. Prada , P. San-Jose , R. Aguado

We theoretically study superconducting islands based on semiconductor-nanowire Josephson junctions and take into account the presence of subgap quasiparticle excitations in the spectrum of the junction. Our method extends the standard model…

Superconductivity · Physics 2020-10-06 J. Avila , E. Prada , P. San-Jose , R. Aguado

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko

We study signatures of Majorana zero modes (MZMs) bound to Josephson vortices in superconductor-three-dimensional topological insulator-superconductor (S-TI-S) Josephson junctions placed in a perpendicular magnetic field. First, using…

Mesoscale and Nanoscale Physics · Physics 2025-06-27 Katharina Laubscher , Jay D. Sau

We investigate the Josephson radiation emitted by a junction made of a quantum dot coupled to two conventional superconductors. Close to resonance, the particle-hole symmetric Andreev states that form in the junction are detached from the…

Superconductivity · Physics 2020-08-05 Baptiste Lamic , Julia S. Meyer , Manuel Houzet

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with…

Superconductivity · Physics 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

In hybrid Josephson junctions with three or more superconducting terminals coupled to a semiconducting region, Andreev bound states may form unconventional energy band structures, or Andreev matter, which are engineered by controlling…

Multi-terminal superconducting Josephson junctions based on the proximity effect offer the bright opportunity to tailor non trivial quantum states in nanoscale weak-links. These structures can realize exotic topologies in multidimensions…

Mesoscale and Nanoscale Physics · Physics 2016-12-09 E. Strambini , S. D'Ambrosio , F. Vischi , F. S. Bergeret , Yu. V. Nazarov , F. Giazotto

Planar Josephson junctions (JJs) have emerged as a promising platform for the realization of topological superconductivity and Majorana zero modes. To obtain robust quasi one-dimensional (1D) topological superconducting states using planar…

We study planar Josephson junctions formed on the surface of a three-dimensional topological insulator (Fu-Kane proposal) and examine the experimentally relevant parameter regimes in which the effective velocity of the emergent…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Adrian Reich , Kiryl Piasotski , Eytan Grosfeld , Alexander Shnirman

We consider superconducting nanowire proximity coupled to superconductor / ferromagnet / superconductor junction, where the magnetization penetrates into superconducting segment in nanowire decaying as $\sim\exp[-\frac{\mid n \mid}{\xi}]$…

Superconductivity · Physics 2016-01-20 Hiromi Ebisu , Bo Lu , Katsuhisa Taguchi , Alexander A. Golubov , Yukio Tanaka