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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…

Josephson junctions (JJs), where both time-reversal and inversion symmetry are broken, exhibit a phase shift $\phi_0$ in their current-phase relation. This allows for an anomalous supercurrent to flow in the junction even in the absence of…

Superconductivity · Physics 2022-01-11 Alberto Hijano , Stefan Ilić , F. Sebastián Bergeret

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…

We consider a Josephson junction built with the two-dimensional semi-Dirac semimetal, which features a hybrid of linear and quadratic dispersion around a nodal point. We model the weak link between the two superconducting regions by a Dirac…

Superconductivity · Physics 2024-04-10 Ipsita Mandal

Junction systems of odd-frequency (OF) superconductors are investigated based on a mean-field Hamiltonian formalism. One-dimensional two-channel Kondo lattice (TCKL) is taken as a concrete example of OF superconductors. Properties of normal…

Superconductivity · Physics 2016-06-15 Shintaro Hoshino , Keiji Yada , Yukio Tanaka

We investigate the spectrum of Andreev bound states and supercurrent in a $p$-wave non-Hermitian Josephson junction (NHJJ) in one dimension. The studied NHJJ is composed of two topological $p$-wave superconductors connected by a…

Superconductivity · Physics 2025-12-24 Chang-An Li , Björn Trauzettel

Being resilient to magnetic field, Ising superconductor serves as an exceptional platform for studying the interplay between superconductivity and magnetism. In this Letter, we first explore the transport properties of a two-terminal…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Gaoyang Li , Sourabh Patil , Yanxia Xing , Wolfgang Belzig , Gaomin Tang

Using the tight binding model and the non-equilibrium Green function method, we study Andreev reflection in graphene-superconductor junction, where graphene has two nonequal Dirac Cones split in energy and therefore time reversal symmetry…

Superconductivity · Physics 2020-01-15 Chao Wang , Lin Zhang , Peipei Zhang , Juntao Song , Yu-Xian Li

Gate-tunable Josephson junctions embedded in a microwave environment provide a promising platform to in-situ engineer and optimize novel superconducting quantum circuits. The key quantity for the circuit design is the phase-dependent…

We consider transport through a Josephson junction consisting of a conventional s-wave superconductor coupled via a double quantum dot to a noncentrosymmetric superconductor with both, singlet and triplet pairing. We calculate the Andreev…

Superconductivity · Physics 2015-07-13 Björn Sothmann , Rakesh P. Tiwari

Frequency analysis of the rf emission of oscillating Josephson supercurrent is a powerful passive way of probing properties of topological Josephson junctions. In particular, measurements of the Josephson emission enables to detect the…

We investigate ac Josephson effect in the resonant tunneling through mesoscopic superconducting junctions. In the presence of microwave irradiation, we show that the trajectory of multiple Andreev reflections can be closed by emitting or…

Mesoscale and Nanoscale Physics · Physics 2010-08-03 Yu Zhu , Qing-feng Sun , Wei Li , Zhong-shui Ma , Tsung-han Lin

We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 L. Bretheau , Ç. Girit , M. Houzet , H. Pothier , D. Esteve , C. Urbina

Semiconductor-based Josephson junctions embedded within a Cooper-pair-box can host complex many-body states, such as interacting Andreev states and potentially other quasi-particles of topological origin. Here, we study the insights that…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Daniel Dahan , Konstantin Yavilberg , Talya Shnaider , Elena Lupo , Malcolm R. Connolly , Eran Ginossar , Eytan Grosfeld

The fractional AC Josephson effect is a discerning property of topological superconductivity in hybrid Josephson junctions. Recent experimental observations of missing odd Shapiro steps and half Josephson frequency emission in various…

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

We investigate the low-energy theory of a one-dimensional finite capacitance topological Josephson junction. Charge fluctuations across the junction couple to resonant microwave fields and can be used to probe microscopic excitations such…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Konstantin Yavilberg , Eran Ginossar , Eytan Grosfeld

Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

Particle transport across Josephson junctions is commonly described using a simplifying approximation (often called the Andreev approximation), which assumes that excitations are fixed at the Fermi momentum and only Andreev reflections,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 F. Setiawan , Johannes Hofmann

On the basis of the Usadel equation we study a multi-terminal Josephson junction. This junction is composed by "magnetic" superconductors S$_{\text{m}}$ which have singlet pairing and are separated from the normal n~wire by spin filters so…

Superconductivity · Physics 2016-04-07 Andreas Moor , Anatoly F. Volkov , Konstantin B. Efetov