Many-body localization transition in Rokhsar-Kivelson-type wave functions

Xiao Chen, Xiongjie Yu, Gil Young Cho, Bryan K. Clark, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review


We construct a family of many-body wave functions to study the many-body localization phase transition. The wave functions have a Rokhsar-Kivelson form, in which the weight for the configurations are chosen from the Gibbs weights of a classical spin glass model, known as the random energy model, multiplied by a random sign structure to represent a highly excited state. These wave functions show a phase transition into an MBL phase. In addition, we see three regimes of entanglement scaling with the subsystem size: scaling with the entanglement corresponding to an infinite temperature thermal phase, constant scaling, and a subextensive scaling between these limits. Near the phase transition point, the fluctuations of the Rényi entropies are non-Gaussian. We find that Rényi entropies with different Rényi index transition into the MBL phase at different points and have different scaling behavior, suggesting a multifractal behavior.

Original languageEnglish (US)
Article number214204
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number21
StatePublished - Dec 23 2015

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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