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 journalArticle

Abstract

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
Volume92
Issue number21
DOIs
StatePublished - Dec 23 2015

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Wave functions
Phase transitions
wave functions
scaling
Entropy
Spin glass
Excited states
entropy
transition points
spin glass
Temperature
configurations
excitation
temperature
energy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Many-body localization transition in Rokhsar-Kivelson-type wave functions. / Chen, Xiao; Yu, Xiongjie; Cho, Gil Young; Clark, Bryan K.; Fradkin, Eduardo.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 92, No. 21, 214204, 23.12.2015.

Research output: Contribution to journalArticle

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