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Vedika Khemani1, D N Sheng2, David A Huse3

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Summary
This summary is machine-generated.

This study compares many-body localization (MBL) transitions in spin chains. Results suggest distinct universality classes for quasiperiodic versus random fields, impacting stability and scaling behavior.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Many-body localization (MBL) is a quantum phenomenon preventing thermalization in disordered systems.
  • Understanding the MBL transition is crucial for quantum information and statistical mechanics.
  • Disorder type (quasiperiodic vs. random) can significantly alter critical phenomena.

Purpose of the Study:

  • To systematically compare the many-body localization (MBL) transition in spin chains subjected to nonrandom quasiperiodic and random fields.
  • To identify distinct universality classes governing these transitions.
  • To explain discrepancies in finite-size scaling analyses of disordered MBL models.

Main Methods:

  • Comparative analysis of MBL transition in spin chains.
  • Investigation of quasiperiodic versus random field effects.
  • Utilizing exact-diagonalization studies for random models.

Main Results:

  • Evidence suggests two separate universality classes for MBL transitions: one with intrinsic intrasample randomness, another with external intersample quenched randomness.
  • Intersample quenched randomness shows growing but not yet dominant effects in exact-diagonalization studies.
  • Finite-size scaling collapses in random models are in a preasymptotic regime, near the nonrandom universality class but showing crossover signs.
  • The MBL phase is more stable in the quasiperiodic model; its transition is less affected by finite-size effects.

Conclusions:

  • The observed scaling behaviors in random MBL models can be explained by their preasymptotic nature and crossover towards an external-randomness-dominated universality class.
  • The study resolves apparent violations of Harris-Chayes bounds in previous analyses of random MBL models.
  • Quasiperiodic disorder leads to a more robust MBL phase and a transition less susceptible to finite-size artifacts compared to random disorder.