Nonunitary Scaling Theory of Non-Hermitian Localization

Kohei Kawabata, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one dimension. However, a unified understanding of non-Hermitian delocalization has yet to be established. Here, we develop a scaling theory of localization in non-Hermitian systems. We reveal that non-Hermiticity introduces a new scale and breaks down the one-parameter scaling, which is the central assumption of the conventional scaling theory of localization. Instead, we identify the origin of unconventional non-Hermitian delocalization as the two-parameter scaling. Furthermore, we establish the threefold universality of non-Hermitian localization based on reciprocity; reciprocity forbids delocalization without internal degrees of freedom, whereas symplectic reciprocity results in a new type of symmetry-protected delocalization.

Original languageEnglish (US)
Article number166801
JournalPhysical review letters
Issue number16
StatePublished - Apr 22 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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