Scaling of quantum diffusion in one-dimensional disordered systems

Hiroaki Yamada; Masaki Goda; Yoji Aizawa; Mitsusada Sano

Scaling of quantum diffusion in one-dimensional disordered systems

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

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	3050-3053
Number of pages	4
Journal	Journal of the Physical Society of Japan
Volume	61
Issue number	9
Publication status	Published - 1992 Sept

Keywords

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

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

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title = "Scaling of quantum diffusion in one-dimensional disordered systems",

abstract = "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 Schr{\"o}dinger 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.",

keywords = "Disordered system, Localization, Long-range correlation, One dimension, Power law, Quantum diffusion, Scaling, Universality",

author = "Hiroaki Yamada and Masaki Goda and Yoji Aizawa and Mitsusada Sano",

year = "1992",

month = sep,

language = "English",

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pages = "3050--3053",

journal = "Journal of the Physical Society of Japan",

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T1 - Scaling of quantum diffusion in one-dimensional disordered systems

AU - Yamada, Hiroaki

AU - Goda, Masaki

AU - Aizawa, Yoji

AU - Sano, Mitsusada

PY - 1992/9

Y1 - 1992/9

N2 - 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.

AB - 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.

KW - Disordered system

KW - Localization

KW - Long-range correlation

KW - One dimension

KW - Power law

KW - Quantum diffusion

KW - Scaling

KW - Universality

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M3 - Article

AN - SCOPUS:21144477256

SN - 0031-9015

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EP - 3053

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 9

ER -

Scaling of quantum diffusion in one-dimensional disordered systems

Abstract

Keywords

ASJC Scopus subject areas

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