Power-law Localization in 2D, 3D with Off-diagonal Disorder

Details Power-law Localization in 2D, 3D with Off-diagonal Disorder Power-law Localization in 2D, 3D with Off-diagonal Disorder

2001-01-10

arxiv.org/abs/cond-mat/0101135v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, Revtex file, 4 postscript figures

Scientific paper

10.1103/PhysRevB.64.113107

We describe non-conventional localization of the midband E=0 state in square and cubic finite bipartite lattices with off-diagonal disorder by solving numerically the linear equations for the corresponding amplitudes. This state is shown to display multifractal fluctuations, having many sparse peaks, and by scaling the participation ratio we obtain its disorder-dependent fractal dimension $D_{2}$. A logarithmic average correlation function grows as $g(r) \sim \eta \ln r$ at distance $r$ from the maximum amplitude and is consistent with a typical overall power-law decay $|\psi(r)| \sim r^{-\eta}$ where $\eta $ is proportional to the strength of off-diagonal disorder.

Affiliated with

Also associated with

No associations

Rating

Power-law Localization in 2D, 3D with Off-diagonal Disorder 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 Power-law Localization in 2D, 3D with Off-diagonal Disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Power-law Localization in 2D, 3D with Off-diagonal Disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65856