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Non-Gaussian spatial correlations dramatically weaken localization.

H Javan Mard1, E C Andrade2, E Miranda3

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Interactions in disordered Hubbard chains decrease conductance scales, signaling stronger localization. This effect stems from non-Gaussian potential correlations, not just disorder strength, mitigating Anderson localization.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Anderson localization describes wave function confinement in disordered systems.
  • Electron-electron interactions can modify localization phenomena.

Purpose of the Study:

  • Investigate interaction effects on quasiparticle localization in disordered Hubbard chains.
  • Analyze the impact of interactions on conductance and localization scales.

Main Methods:

  • Variational studies of the interaction-localization problem.
  • Finite-size scaling analysis of conductance at zero temperature and half-filling.

Main Results:

  • Quasiparticle wave functions remain exponentially localized despite interactions.
  • Interactions significantly decrease the characteristic conductance scale (g*).
  • This decrease is linked to non-Gaussian spatial correlations in the screened potential.

Conclusions:

  • Electron-electron interactions play a crucial role in modifying Anderson localization.
  • Non-Gaussian potential correlations are a key mechanism reducing localization's impact.
  • Standard renormalization of disorder strength is insufficient to capture these interaction effects.