Complete absence of localization in a family of disordered lattices
arXiv:1210.4267 · doi:10.1209/0295-5075/102/17004
Abstract
We present analytically exact results to show that, certain quasi one-dimensional lattices where the building blocks are arranged in a random fashion, can have an absolutely continuous part in the energy spectrum when special correlations are introduced among some of the parameters describing the corresponding Hamiltonians. We explicitly work out two prototype cases, one being a disordered array of a simple diamond network and isolated dots, and the other an array of triangular plaquettes and dots. In the latter case, a magnetic flux threading each plaquette plays a crucial role in converting the energy spectrum into an absolutely continuous one. A flux controlled enhancement in the electronic transport is an interesting observation in the triangle-dot system that may be useful while considering prospective devices. The analytical findings are comprehensively supported by extensive numerical calculations of the density of states and transmission coefficient in each case.
6 pages, 6 figures, epl draft
References in corpus (8)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Multifractal analysis of the metal-insulator transition in the 3D Anderson model II: Symmetry relation under ensemble averaging
- Weak disorder expansion for localization lengths of quasi-1D systems
- Ladder network as a mesoscopic switch: An exact result
- Controlled engineering of extended states in disordered systems
- One-dimensional models of disordered quantum wires: general formalism
- Microcavity polaritons in disordered exciton lattices
- Excitation of coherent polaritons in a two-dimensional atomic lattice