Metal-insulator transition in an aperiodic ladder network: an exact result

Abstract

We show, in a completely analytical way, that a tight binding ladder network composed of atomic sites with on-site potentials distributed according to the quasiperiodic Aubry model can exhibit a metal-insulator transition at multiple values of the Fermi energy. For specific values of the first and second neighbor electron hopping, the result is obtained exactly. With a more general model, we calculate the two-terminal conductance numerically. The numerical results corroborate the analytical findings and yield a richer variety of spectrum showing multiple mobility edges.

4 pages, 3 figures

Cited by in corpus (20)

• Ladder network as a mesoscopic switch: An exact result
• Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-Andre model with an unbounded quasiperiodic potential
• Controlled engineering of extended states in disordered systems
• Mobility edge phenomenon in a Hubbard chain: A mean field study
• Staggered and extreme localization of electron states in fractal space
• Tailoring flat bands and topological phases in a multi-strand Creutz network
• Delocalization and scaling properties of low-dimensional quasiperiodic systems
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Localization to delocalization transition in a double stranded helical geometry: Effects of conformation, transverse electric field and dynamics
• Electric field induced localization phenomena in a ladder network with superlattice configuration: Effect of backbone environment
• Externally controlled selective spin transfer through a two-terminal bridge setup
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Topological properties of a class of generalized Su-Schrieffer-Heeger networks: chains and meshes
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Two-strand ladder network variants: localization, multifractality, and quantum dynamics under an Aubry-André-Harper kind of quasiperiodicity
• Bias driven circular current in a ring nanojunction: Critical role of environmental interaction
• Antiferromagnetic diamond network as an efficient spin filter: Proposition of a spin-specific semi-conducting behavior
• Phase Transitions and Critical Behavior in Quasi-One-Dimensional Two-Channel Systems with Quasiperiodic Disorder