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

^*この研究の対応する著者

早稲田大学

研究成果: Article › 査読

5 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	3050-3053
ページ数	4
ジャーナル	Journal of the Physical Society of Japan
巻	61
号	9
出版ステータス	Published - 1992 9月

ASJC Scopus subject areas

物理学および天文学（全般）

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引用スタイル

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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",

volume = "61",

pages = "3050--3053",

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

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "9",

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TY - JOUR

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

VL - 61

SP - 3050

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

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