Many-body localization near the critical point

Alan Morningstar, David A. Huse, John Z. Imbrie

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach where the phase transition is due to the so-called avalanche instability of the MBL phase. We show that the critical behavior can be determined analytically within this RG. On a rough qualitative level the RG flow near the critical fixed point is similar to the Kosterlitz-Thouless (KT) flow as previously shown, but there are important differences in the critical behavior. Thus, we show that this MBL transition is in a universality class that is different from KT. The divergence of the correlation length corresponds to critical exponent ν→∞, but the divergence is weaker than for the KT transition.

Original languageEnglish (US)
Article number125134
JournalPhysical Review B
Issue number12
StatePublished - Sep 2020

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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