Metal-Insulator Transition in an Aperiodic Ladder Network: An Exact Result

2008/01/31 by Shreekantha Sil, Santanu K. Maiti, Arunava Chakrabarti · 2 citations
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.101.076803

published as Physical Review Letters, Volume 101, Page 076803 (2008) · 4 pages, 3 figures

arxiv created 2008/07/15 · openalex publication_date 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove 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 numerically calculate the two-terminal conductance. The numerical results corroborate the analytical findings.

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• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Controlled engineering of extended states in disordered systems

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