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We investigated many-body localization (MBL) in interacting fermions. Long-range interactions always lead to MBL, unlike short-range interactions, revealing distinct quantum phase diagrams.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Many-body localization (MBL) is a phenomenon where quantum systems fail to thermalize due to strong disorder.
  • Understanding MBL in interacting systems is crucial for quantum information science and condensed matter theory.

Purpose of the Study:

  • To investigate the role of interaction range in many-body localization (MBL) for one-dimensional lattice fermions.
  • To determine the quantum phase diagrams of MBL in both random (Anderson) and quasiperiodic (Aubry-Andre) models.

Main Methods:

  • Exact diagonalization methods were employed to calculate the inverse participation ratio (IPR) at half-filling.
  • Results were extrapolated to infinite system size to obtain MBL quantum phase diagrams.
  • Scaling exponents for the IPR were analyzed to identify different MBL regimes.

Main Results:

  • For short-range interactions, a qualitative symmetry was observed between weak and strong interaction limits in the phase diagram.
  • For long-range interactions, the system is always many-body localized, irrespective of disorder strength, resembling a pinned Wigner crystal.
  • Various scaling exponents for the IPR were obtained, indicating distinct MBL regimes influenced by interaction effects.

Conclusions:

  • The range of interactions significantly alters the many-body localization properties of quantum systems.
  • Long-range interactions lead to robust MBL, offering potential for stable quantum states.
  • The study provides insights into the interplay between interactions, disorder, and localization in one-dimensional quantum systems.