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Interaction induced delocalization for two particles in a periodic potential

Vidal1, Doucot, Mosseri

  • 1Laboratoire de Physique des Solides, CNRS UMR 8502, Universite Paris Sud, Batiment 510, 91405 Orsay, France.

Physical Review Letters
|October 21, 2000
PubMed
Summary

Interacting particles in a magnetic field show strong localization. Particle interactions disrupt this magnetic field-induced localization, leading to a transition studied for spectral and dynamical properties.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics

Background:

  • A one-dimensional periodic structure in a magnetic field can induce strong particle localization.
  • Understanding particle interactions in such systems is crucial for quantum phenomena.

Purpose of the Study:

  • To investigate the effect of particle interactions on magnetic field-induced localization in a 1D periodic structure.
  • To analyze the spectral and dynamical changes during the transition from localized to delocalized states.

Main Methods:

  • Theoretical modeling of two interacting particles in a 1D periodic potential.
  • Analysis of the system's Hamiltonian in the presence of a magnetic field.
  • Study of spectral properties (energy levels) and dynamical behavior (particle evolution).

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Main Results:

  • Strong localization, observed for non-interacting particles at specific magnetic flux values, is destroyed by particle interactions.
  • A transition occurs where interactions overcome the magnetic field's localization effect.
  • The study characterizes the spectral and dynamical signatures of this transition.

Conclusions:

  • Particle interactions play a critical role in overcoming magnetic field-induced localization in 1D periodic systems.
  • The findings offer insights into quantum transport and localization phenomena in interacting systems.
  • This work highlights the delicate balance between external fields and inter-particle forces in quantum systems.