2014/02/26 by Aimin Guo, Ai-Min Guo, X. C. Xie +2 · 1 citation
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductance #Coupling (piping) #Curse of dimensionality #Delocalized electron #Electronic structure #Hamiltonian (control theory) #Materials science #Mathematics #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quasiperiodic function #Quasiperiodicity #Scaling #Statistical physics #Tight binding #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.89.075434
published as Phys. Rev. B 89, 075434 (2014) · 9 pages, 8 figures
openalex publication_date 2014/02/26 · arxiv created 2014/09/05 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we explore the localization transition and the scaling properties of both quasi-one-dimensional and two-dimensional quasiperiodic systems, which are constituted from coupling several Aubry-Andr'e (AA) chains along the transverse direction, in the presence of next-nearest-neighbor (NNN) hopping. The localization length, two-terminal conductance, and participation ratio are calculated within the tight-binding Hamiltonian. Our results reveal that a metal-insulator transition could be driven in these systems not only by changing the NNN hopping integral but also by the dimensionality effects. These results are general and hold by coupling distinct AA chains with various model parameters. Furthermore, we show from finite-size scaling that the transport properties of the two-dimensional quasiperiodic system can be described by a single parameter and the scaling function can reach the value 1, contrary to the scaling theory of localization of disordered systems. The underlying physical mechanism is discussed.