Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians

Details Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians

2002-12-06

arxiv.org/abs/cond-mat/0212140v1

In: Quasicrystals - Structure and Physical Properties, ed. H.-R. Trebin (Wiley-VCH, Weinheim, 2003), pp. 210-235

Physics

Condensed Matter

Disordered Systems and Neural Networks

27 pages, 27 PostScript figures, LaTeX using vch-book.cls

Scientific paper

Analytic and numerical results for quasiperiodic tight-binding models are reviewed, with emphasis on two and three-dimensional models which so far are beyond a mathematically rigorous treatment. In particular, we consider energy spectra of aperiodic tight-binding models and the corresponding level statistics, which are well reproduced by random matrix theory. The eigenstates are characterised by multifractal analysis, and a construction of peculiar multifractal states on the Penrose tiling is discussed. We also consider quantum diffusion, and present some results on interacting electron systems in one dimension.

Affiliated with

Also associated with

No associations

Rating

Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians 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 Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-86454