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Non-Hermitian minimal Kitaev chains

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arxiv 2406.18974 v2 pith:XLR362IX submitted 2024-06-27 cond-mat.mes-hall cond-mat.supr-con

classification cond-mat.mes-hallcond-mat.supr-con
keywords non-hermitianhermitiankitaevlinesmajoranaminimalmodesparameter
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Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of parameter space that is much broader than in the Hermitian regime. In particular, we consider the simplest non-Hermitian mechanism which naturally appears due to coupling to normal reservoirs and is commonly present in all transport experiments. Specifically, such couplings induce exceptional points which connect stable and highly tunable zero energy real lines that are well separated from the quasicontinuum. Such zero-energy lines reflect spectral degeneracies protected by topology and represent the non-Hermitian generalization of the Hermitian poor mans Majorana modes occurring at single points in parameter space. Our findings pave the way for realizing robust non-Hermitian effects by combining unconventional superconductors and non-Hermitian topology.

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  1. On the non-hermitian Kitaev chain

    quant-ph 2024-11 conditional novelty 6.0 of 10

    The non-Hermitian Kitaev chain is solved in the thermodynamic limit, giving the eigenvalue curves, the exact zero-mode condition, and the skin-effect criteria.

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