Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates

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dc.creatorZhong, Jianxin
dc.creatorZhang, Zhenyu
dc.creatorSchreiber, Michael
dc.creatorPlummer, E. Ward
dc.creatorNiu, Qian
dc.date2000-11-07
dc.date.accessioned2026-07-07T02:39:17Z
dc.date.available2026-07-07T02:39:17Z
dc.descriptionWe study the intricate relationships between the dynamical scaling properties of electron wave packets and the multifractality of the eigenstates in quantum systems. Numerical simulations for the Harper model and the Fibonacci chain indicate that the root mean square displacement displays the scaling behavior $r(t)\sim t^β$ with $β=D_2^ψ$, where $D_2^ψ$ is the correlation dimension of the multifractal eigenstates. The equality can be generalized to $d$-dimensional systems as $β=D_2^ψ/d$, as long as the electron motion is ballistic in the effective $D_2^ψ$-dimensional space. This equality should be replaced by $β<D_2^ψ/d$ if the motion is non-ballistic, as supported by all known results.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0011118
dc.identifierhttp://arxiv.org/abs/cond-mat/0011118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16993
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleDynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates
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