Fixed Points of Wegner-Wilson Flows and Many-Body Localization

David Pekker, Bryan K. Clark, Vadim Oganesyan, Gil Refael

Research output: Contribution to journalArticle


Many-body localization (MBL) is a phase of matter that is characterized by the absence of thermalization. Dynamical generation of a large number of local quantum numbers has been identified as one key characteristic of this phase, quite possibly the microscopic mechanism of breakdown of thermalization and the phase transition itself. We formulate a robust algorithm, based on Wegner-Wilson flow (WWF) renormalization, for computing these conserved quantities and their interactions. We present evidence for the existence of distinct fixed point distributions of the latter: a Gaussian white-noise-like distribution in the ergodic phase, a 1/f law inside the MBL phase, and scale-free distributions in the transition regime.

Original languageEnglish (US)
Article number075701
JournalPhysical review letters
Issue number7
StatePublished - Aug 16 2017

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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