Classification of superconducting orders in nonhermitian systems

We have investigated the effects of nonhermiticity on superconducting states. We have shown the definition of the time-ordered product in the Green's function requires the introduction of a bi-orthogonal basis in nonhermitian systems. This modification allows a classification scheme of nonhermi...

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Bibliographic Details
Main Authors Bandyopadhyay, Sumanta, Balatsky, Alexander
Format Journal Article
LanguageEnglish
Published 05.04.2020
Subjects
Physics - Strongly Correlated Electrons
Physics - Superconductivity
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Summary:We have investigated the effects of nonhermiticity on superconducting states. We have shown the definition of the time-ordered product in the Green's function requires the introduction of a bi-orthogonal basis in nonhermitian systems. This modification allows a classification scheme of nonhermitian superconductors with new classes of states not present in hermitian systems. Furthermore, we have discussed the density of state profiles and signatures in spin susceptibility measurements for different nonhermitian superconducting orders using the simplest case of BCS superconductors.
DOI:10.48550/arxiv.2004.02206