Numerical investigations of scaling at the Anderson transition

Details Numerical investigations of scaling at the Anderson transition Numerical investigations of scaling at the Anderson transition

2002-12-23

arxiv.org/abs/cond-mat/0212569v1

"The Anderson Transition and its Ramifications -- Localisation, Quantum Interference, and Interactions" (T Brandes and S Kette

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 6 figures, "The Anderson Transition and its Ramifications-Localisation, Quantum Interference, and Interactions", 'Le

Scientific paper

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from conducting behavior with finite resistance R to insulating behavior with R=infinity as T -> 0. This well-studied phenomenon is called the disorder-driven metal-insulator transition and it is characteristic to non-crystalline solids. In this review of recent advances, we have presented results of transport studies in disordered systems, ranging from modifications of the standard Anderson model of localization to effects of a two-body interaction. Of paramount importance in these studies was always the highest possible accuracy of the raw data combined with the careful subsequent application of the finite-size scaling technique. In fact, it is this scaling method that has allowed numerical studies to move beyond simple extrapolations and reliably construct estimates of quantities as if one were studying an infinite system.

Affiliated with

Also associated with

No associations

Rating

Numerical investigations of scaling at the Anderson transition 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 Numerical investigations of scaling at the Anderson transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical investigations of scaling at the Anderson transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74459