Scaling of quantum diffusion in one-dimensional disordered systems

Hiroaki Yamada*, Masaki Goda, Yoji Aizawa, Mitsusada Sano

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Dynamics of an electron in a tightly binding one-dimensional disordered system is studied numerically. The time evolution of wavepackets is traced by the time-dependent Schrödinger equation. The mean square displacement of the packet scaled by the localization length shows a universal time evolution from the ballistic regime to the localized regime in an ordinary disordered system. The time evolution in the modified Bernoulli systems with long-range structural correlation also shows the same universal diffusion.

Original languageEnglish
Pages (from-to)3050-3053
Number of pages4
JournalJournal of the Physical Society of Japan
Issue number9
Publication statusPublished - 1992 Sept


  • Disordered system
  • Localization
  • Long-range correlation
  • One dimension
  • Power law
  • Quantum diffusion
  • Scaling
  • Universality

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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