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Quantum resonance catastrophe for conductance through a periodically driven barrier

2015/08/31 by Daniel Thuberg, Sebastian Reyes, Sebastian A. Reyes +1
Computer Science · Engineering · Physics and Astronomy · #Condensed matter physics #Conductance #Molecular Junctions and Nanostructures #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Resonance (particle physics) #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.93.180301

published as Phys. Rev. B 93, 180301(R) (2016) · 6 pages, 3 figures, for more information and the latest version see http://www.physik.uni-kl.de/eggert/papers/index.html

arxiv created 2015/08/31 · openalex publication_date 2016/05/09 · arxiv updated 2016/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the quantum conductance in a tight-binding chain with a locally applied potential which is oscillating in time. The steady state for such a driven impurity can be calculated exactly for any energy and applied potential using the Floquet formalism. The resulting transmission has a nontrivial, nonmonotonic behavior depending on incoming momentum, driving frequency, and the strength of the applied periodic potential. Hence there is an abundance of tuning possibilities, which allows finding the resonances of total reflection for any choice of incoming momentum and periodic potential. Remarkably, this implies that even for an arbitrarily small infinitesimal impurity potential it is always possible to find a resonance frequency at which there is a catastrophic breakdown of the transmission T=0. The points of zero transmission are closely related to the phenomenon of Fano resonances at dynamically created bound states in the continuum. The results are relevant for a variety of one-dimensional systems where local AC driving is possible, such as quantum nanodot arrays, ultracold gases in optical lattices, photonic crystals, or molecular electronics.

Citations