Phase coherence in tight-binding models with nonrandom long-range hopping

Details Phase coherence in tight-binding models with nonrandom long-range hopping Phase coherence in tight-binding models with nonrandom long-range hopping

2004-02-02

arxiv.org/abs/cond-mat/0402060v1

Phys. Rev. B 69, 104204 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 9 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.69.104204

The density of states, even for a perfectly ordered tight-binding model, can exhibit a tail-like feature at the top of the band, provided the hopping integral falls off in space slowly enough. We apply the coherent potential approximation to study the eigenstates of a tight-binding Hamiltonian with uncorrelated diagonal disorder and long-range hopping, falling off as a power $\mu$ of the intersite distance. For a certain interval of hopping range exponent $\mu$, we show that the phase coherence length is infinite for the outermost state of the tail, irrespectively of the strength of disorder. Such anomalous feature can be explained by the smallness of the phase-space volume for the disorder scattering from this state. As an application of the theory, we mention that ballistic regime can be realized for Frenkel excitons in two-dimensional molecular aggregates, affecting to a large extent the optical response and energy transport.

Affiliated with

Also associated with

No associations

Rating

Phase coherence in tight-binding models with nonrandom long-range hopping 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 Phase coherence in tight-binding models with nonrandom long-range hopping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase coherence in tight-binding models with nonrandom long-range hopping will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-545801