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Self-consistent solutions of microscopic Eilenberger theory are presented for a two-dimensional model of a superconducting channel with a geometric constriction. Magnetic fields, external ones as well as those caused by the supercurrents,…

Superconductivity · Physics 2007-08-29 A. Gumann , T. Dahm , N. Schopohl

We study the emergent band topology of subgap Andreev bound states in the three-terminal Josephson junctions. We scrutinize the symmetry constraints of the scattering matrix in the normal region connecting superconducting leads that enable…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Hong-Yi Xie , Maxim G. Vavilov , Alex Levchenko

We study superconducting quantum interference in InSb flake Josephson junctions. An even-odd effect in the amplitude and periodicity of the superconducting quantum interference pattern is found. Interestingly, the occurrence of this pattern…

Using the extraordinary sensitivity of Andreev interferometers to the superconducting phase difference associated with currents, we measure the persistent current quantum states in superconducting loops interrupted by Josephson junctions.…

Superconductivity · Physics 2009-11-11 V. T. Petrashov , K. G. Chua , K. M. Marshall , R. Sh. Shaikhaidarov , J. T. Nicholls

The interplay between topological protection and dissipation constitutes a critical frontier in the realization of hybrid quantum devices. Here, we investigate the transport signatures in a dissipative topological insulator-based Josephson…

Superconductivity · Physics 2025-12-03 Ardamon Sten , Paramita Dutta , Sudeep Kumar Ghosh

The manuscript presents an overview of recent developments in theory of multiple Andreev reflections in Josephson junctions with arbitrary transparency and arbitrary quasiparticle dispersion in the electrodes.

Superconductivity · Physics 2007-05-23 D. V. Averin

Andreev bound states trapped in a multi-terminal Josephson junction (JJ) can be assigned a synthetic band topology owing to their periodic dependence on the Josephson phase bias. We demonstrate that the BdG symmetry adds a twist to this…

Mesoscale and Nanoscale Physics · Physics 2023-09-28 Aabir Mukhopadhyay , Udit Khanna , Sourin Das

The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from scattering states incoming from the superconducting leads. We show that in the limit…

Superconductivity · Physics 2013-02-20 Domenico Giuliano , Ian Affleck

Using the Gorkov equations, we provide an exact solution for a one-dimensional model of superconductivity in the presence of a conical helicoidal exchange field. Due to the special type of symmetry of the system, the superconducting…

Superconductivity · Physics 2019-01-10 Hao Meng , A. V. Samokhvalov , A. I. Buzdin

We extend the circuit theory of superconductivity to cover transport and proximity effect in mesoscopic systems that contain unconventional superconductor junctions. The approach fully accounts for zero-energy Andreev bound states forming…

Superconductivity · Physics 2009-11-07 Y. Tanaka , Yu. V. Nazarov , S. Kashiwaya

We study Andreev reflection and the Josephson effect in a ballistic monolayer of black phosphorous, known as phosphorene. Due to the anisotropic band structure of this system, the supercurrent changes with an order of magnitude when…

Superconductivity · Physics 2017-05-03 Jacob Linder , Takehito Yokoyama

Andreev bound states with opposite phase-inversion asymmetries are observed in local and non-local tunneling spectra at the two ends of a superconductor-semiconductor-superconductor planar Josephson junction in the presence of a…

We calculate the electrical currents through a superconductor - insulator - superconductor junction which is also weakly coupled to a normal metal side probe. The voltage $V$ applied to the normal metal terminal controls the occupation of…

Superconductivity · Physics 2009-10-30 H. Tolga Ilhan , H. Volkan Demir , Philip F. Bagwell

Tunneling spectroscopy measurements are often used to probe the energy spectrum of Andreev bound states (ABSs) in semiconductor-superconductor hybrids. Recently, this spectroscopy technique has been incorporated into planar Josephson…

Multiterminal Josephson junctions constitute engineered topological systems in arbitrary synthetic dimensions defined by the superconducting phases. Microwave spectroscopy enables the measurement of the quantum geometric tensor, a…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Raffael L. Klees , Juan Carlos Cuevas , Wolfgang Belzig , Gianluca Rastelli

The Josephson effect is a fundamental quantum phenomenon consisting in the appearance of a dissipationless supercurrent in a weak link between two superconducting (S) electrodes. While the mechanism leading to the Josephson effect is quite…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 J. Paajaste , E. Strambini , M. Amado , S. Roddaro , P. San-Jose , R. Aguado , F. S. Bergeret , D. Ercolani , L. Sorba , F. Giazotto

Topological Josephson junctions enable nonreciprocal transport involving Majorana fermions (MFs). Here we examine a topological Josephson junction with mixed $s$+$p$-wave pairing, where topological phase transition can be driven by…

Superconductivity · Physics 2025-06-23 Shu-Tong Guan , Jin An

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

Superconducting circuits based on Josephson junctions exhibit macroscopic quantum coherence and can behave like artificial atoms. Recent technological advances have made it possible to implement atomic-physics and quantum-optics experiments…

Quantum Physics · Physics 2015-06-04 J. Q. You , Franco Nori

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