Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates

Details Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates

2000-11-07

arxiv.org/abs/cond-mat/0011118v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

We 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 $r(t)\sim t^\beta$ with $\beta=D_2^\psi$, where $D_2^\psi$ is the correlation dimension of the multifractal eigenstates. The equality can be generalized to $d$-dimensional systems as $\beta=D_2^\psi/d$, as long as the electron motion is ballistic in the effective $D_2^\psi$-dimensional space. This equality should be replaced by $\beta

Affiliated with

Also associated with

No associations

Rating

Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical Scaling Properties of Electrons in Quantum Systems with Multifractal Eigenstates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465824