Anderson localisation in tight-binding models with flat bands

Details Anderson localisation in tight-binding models with flat bands Anderson localisation in tight-binding models with flat bands

2010-08-19

arxiv.org/abs/1008.3256v2

Phys. Rev. B 82, 104209 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, as published (this version includes minor corrections)

Scientific paper

10.1103/PhysRevB.82.104209

We consider the effect of weak disorder on eigenstates in a special class of tight-binding models. Models in this class have short-range hopping on periodic lattices; their defining feature is that the clean systems have some energy bands that are dispersionless throughout the Brillouin zone. We show that states derived from these flat bands are generically critical in the presence of weak disorder, being neither Anderson localised nor spatially extended. Further, we establish a mapping between this localisation problem and the one of resonances in random impedance networks, which previous work has suggested are also critical. Our conclusions are illustrated using numerical results for a two-dimensional lattice, known as the square lattice with crossings or the planar pyrochlore lattice.

Affiliated with

Also associated with

No associations

Rating

Anderson localisation in tight-binding models with flat bands 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 Anderson localisation in tight-binding models with flat bands, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anderson localisation in tight-binding models with flat bands will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134861