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We construct a semiclassical theory for the transport of topological junctions starting from a microscopic Hamiltonian that comprehensively includes the interplay among the Majorana qubit, the Josephson phase, and the dissipation process.…

Superconductivity · Physics 2022-12-28 Zhi Wang , Jia-Jin Feng , Zhao Huang , Qian Niu

Josephson junctions coupled through magnetic textures provide a controllable platform for odd-frequency superconductivity and Majorana physics. Within a tight-binding Green function framework, induced pair correlations and spectral…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Rubén Seoane Souto , Pablo Burset

Ultra-small Josephson junctions are strongly influenced by noise and damping due to energy dissipation into the environment, which are expected to suppress phase coherence. Here, we investigate the coherence properties of atomic-scale…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Martina Trahms , Bharti Mahendru , Clemens B. Winkelmann , Katharina J. Franke

The quantum Hall state at total filling factor $\nu_T=1$ in bilayer systems realizes an exciton condensate and exhibits a zero-bias tunneling anomaly, similar to the Josephson effect in the presence of fluctuations. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Timo Hyart , Bernd Rosenow

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Omri Lesser , Yuval Oreg

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…

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

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

Topological spin superconductors are $p$-wave spin-triplet exciton insulators whose topological edge modes have been shown to obey non-Abelian braiding statistics. Based on a toy model as the spin counterpart of the Kitaev's chain, we study…

Mesoscale and Nanoscale Physics · Physics 2025-04-10 Liang Du , Hua Jiang , Yijia Wu , X. C. Xie

We study Josephson junctions made of semiconducting nanowires with Rashba spin-orbit coupling, where superconducting correlations are induced by the proximity effect. In the presence of a suitably directed magnetic field, the system…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Konstantin N. Nesterov , Manuel Houzet , Julia S. Meyer

A semiconducting nanowire proximitized by an $s$-wave superconductor can be tuned into a topological state by an applied magnetic field. This quantum phase transition is marked by the emergence of Majorana zero modes at the ends of the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Chaitanya Murthy , Vladislav D. Kurilovich , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

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

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

Quantum spin Hall-superconductor hybrids are promising sources of topological superconductivity and Majorana modes, particularly given recent progress on HgTe and InAs/GaSb. We propose a new method of revealing topological superconductivity…

Superconductivity · Physics 2014-11-11 Shu-Ping Lee , Karen Michaeli , Jason Alicea , Amir Yacoby

The current-voltage characteristic of a driven superconducting Josephson junction displays discrete steps. This phenomenon, called the Shapiro steps, forms today's voltage standard! Here, we report the observation of Shapiro steps in a…

Quantum Gases · Physics 2026-01-07 Erik Bernhart , Marvin Röhrle , Vijay Pal Singh , Ludwig Mathey , Luigi Amico , Herwig Ott

We consider microwave spectroscopy of Josephon junctions composed of hybridized Majorana states in topological 1-D superconductors. We point out how spectroscopic features of the junction appear in the current phase relation under microwave…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Pauli Virtanen , Patrik Recher

The demonstration of the non-Abelian properties of Majorana bound states (MBS) is a crucial step toward topological quantum computing. We theoretically investigate how Majorana fusion rules manifest themselves in the current-voltage…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Sang-Jun Choi , Alessio Calzona , Björn Trauzettel

We analyze the topological superconductivity and investigate the spectroscopic properties manifested by the zero-energy modes, induced in a metallic strip embedded into a Josephson-type junction. Focusing on the Majorana polarization of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Szczepan Głodzik , Nicholas Sedlmayr , Tadeusz Domański