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Nonreciprocal Equilibrium Josephson Effect of Arbitrary Periodicity from Poor Man's Majorana Zero Modes

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arxiv 2409.13027 v2 pith:4ZPOU2M4 submitted 2024-09-19 cond-mat.supr-con cond-mat.mes-hall

Panagiotis Kotetes , Mercè Roig , Brian M. Andersen This is my paper
classification cond-mat.supr-concond-mat.mes-hall
keywords josephsonmajoranastatesboundcoupledcurrentdiodeeffect
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abstract

We show that the Josephson diode effect becomes possible when two coupled antiferromagnetic dimers of point-like magnetic adatoms are deposited on top of a Rashba superconductor. The degree of nonreciprocity is substantial when the arising Yu-Shiba-Rusinov (YSR) bound states approach zero energy. In this limit, these states behave as weakly coupled poor man's Majorana (PMM) excitations. This PMM regime is accompanied by highly dispersive and phase-bias asymmetric Andreev bound state dispersions. In turn, these result in a nonreciprocal Josephson current, whose diode efficiency can be controlled by varying the geometric details of the adatom's spatial configuration. In addition, thanks to spin-triplet pairing terms mixing different YSR states, the Josephson current can possess any periodicity in equilibrium, including $4\pi$. Our work opens the door to observing and harnessing Majorana behavior in currently experimentally accessible topologically trivial systems.

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Cited by 4 Pith papers

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  1. Nonlocal Majorana polarization in non-Hermitian topological superconductors

    cond-mat.supr-con 2026-07 conditional novelty 6.0 of 10

    Nonlocal Majorana polarization is generalized to non-Hermitian superconductors with biorthogonal states and separates Majorana zero modes from trivial states and exceptional points.

  2. Andreev exceptional points in Josephson junctions formed by minimal Kitaev chains

    cond-mat.mes-hall 2026-06 unverdicted novelty 6.0 of 10

    Non-Hermiticity from normal reservoirs in minimal Kitaev-chain Josephson junctions produces phase-tunable Andreev exceptional points and lines that enclose protected zero-real-energy areas.

  3. Can Decision Trees Teach Large Language Models? Distilling Verbalized Knowledge for Molecular Property Prediction

    cs.LG 2026-03 conditional novelty 6.0 of 10

    Exchange-coupled magnetic islands in correlated Rashba superconductors convert spin into flux and stabilize zero-field vortices that can bind Majorana zero modes under stated topological criteria.

  4. Zero-field superconducting vortices and Majorana zero modes pinned by magnetic islands in correlated Rashba systems

    cond-mat.supr-con 2026-03 conditional novelty 6.0 of 10

    A magnetic island on a correlated Rashba superconductor can convert its spin moment into flux and pin zero-field superconducting vortices that host Majorana zero modes, if the induced exchange energy exceeds a derived...

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