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Non-Hermitian Topology in Multiterminal Superconducting Junctions

David Christian Ohnmacht, Valentin Wilhelm, Hannes Weisbrich, Wolfgang Belzig

2025Physical Review Letters12 citationsDOIOpen Access PDF

Abstract

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 systems, that arise from exceptional points-distinct degeneracies unique to such systems. In this Letter, we focus on Andreev bound states in multiterminal Josephson junctions with non-Hermiticity induced by normal metal or ferromagnetic leads. By investigating several systems of different synthetic dimensions and symmetries, we predict fragile and stable non-Hermitian topological phases in these engineered superconducting systems.

Topics & Concepts

PhysicsHermitian matrixHomogeneous spaceSuperconductivityJosephson effectTopology (electrical circuits)Bound stateQuantumAndreev reflectionFerromagnetismDissipationQuantum mechanicsCondensed matter physicsMathematicsGeometryCombinatoricsQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaMechanical and Optical Resonators
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