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The Andreev bound state spectra of multi-terminal Josephson junctions form an artificial band structure, which is predicted to host tunable topological phases under certain conditions. However, the number of conductance modes between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Gino V. Graziano , Mohit Gupta , Mihir Pendharkar , Jason T. Dong , Connor P. Dempsey , Chris Palmstrøm , Vlad S. Pribiag

We study non-Hermitian Josephson junctions formed by multiple superconductors and discover the emergence of exceptional points entirely determined by the interplay of the distinct superconducting phases and non-Hermiticity due to normal…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jorge Cayao , Masatoshi Sato

Recent experimental advancements in dissipation control have yielded significant insights into non-hermitian Hamiltonians for open quantum systems. Of particular interest are the topological characteristics exhibited by these non-hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 David Christian Ohnmacht , Valentin Wilhelm , Hannes Weisbrich , Wolfgang Belzig

There is growing interest in using multi-terminal Josephson junctions (MTJJs) as a platform to artificially emulate topological phases and to investigate complex superconducting mechanisms such as quartet and multiplet Cooper pairings.…

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

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 with three or more superconducting leads have been predicted to exhibit topological effects in the presence of few conducting modes within the interstitial normal material. Such behavior, of relevance for…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Gino V. Graziano , Joon Sue Lee , Mihir Pendharkar , Chris Palmstrøm , Vlad S. Pribiag

Multiply connected electronic networks threaded by flux tubes have been proposed as a platform for adiabatic quantum transport and topological states. Multi-terminal Josephson junction (MTJJ) has been suggested as a pathway to realize this…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Woochan Jung , Seyoung Jin , Sein Park , Seung-Hyun Shin , Kenji Watanabe , Takashi Taniguchi , Gil Young Cho , Gil-Ho Lee

Multiterminal Josephson junctions offer a powerful playground for exploring exotic superconducting and topological phenomena beyond the reach of conventional two-terminal devices. In this work, we present the direct spectroscopic…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Asmaul Smitha Rashid , Le Yi , Takashi Taniguchi , Kenji Watanabe , Nitin Samarth , Régis Mélin , Morteza Kayyalha

Topological materials and their unusual transport properties are now at the focus of modern experimental and theoretical research. Their topological properties arise from the bandstructure determined by the atomic composition of a material…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

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

The Josephson current flowing in a junction between two superconductors is a striking manifestation of macroscopic quantum coherence, with applications in metrology and quantum information. This equilibrium current is related with the…

Mesoscale and Nanoscale Physics · Physics 2021-06-04 Julia S. Meyer , Manuel Houzet

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,…

By coupling a semiconductor-based planar Josephson junction to a superconducting resonator, we investigate the Andreev bound states in the junction using dispersive readout techniques. Using electrostatic gating to create a narrow…

In this work we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the…

Superconductivity · Physics 2022-06-13 Hong-Yi Xie , Jaglul Hasan , Alex Levchenko

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

Hybrid multiterminal Josephson junctions (JJs) are expected to harbor a novel class of Andreev bound states (ABSs), including topologically nontrivial states in four-terminal devices. In these systems, topological phases emerge when ABSs…

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

In recent years, various classes of systems were proposed to realize topological states of matter. One of them are multiterminal Josephson junctions where topological Andreev bound states are constructed in the synthetic space of…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 Lev Teshler , Hannes Weisbrich , Jonathan Sturm , Raffael L. Klees , Gianluca Rastelli , Wolfgang Belzig

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

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