High-frequency blockade in a tight-binding one-dimensional lattice with single vibrating atomic state

Abstract

One-dimensional tight-binding lattice, single site of which possesses harmonically vibrating level is studied. The states of non-interacting electrons incident with fixed energy from infinity are considered. It is shown that at definite conditions the site reflects electrons {\it absolutely and elastically} (high-frequency blockade states). The problem is treated both numerically and (in the case of narrow band) analytically. The results are compared with the free-electron 1D problem with vibrating $\delta$-functional potential. Together with the blockade states the local and reflectionless states are examined. Possible realization of the system as a lattice of quantum dots is discussed.

4 pages, 8 figures

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Cited by in corpus (5)

• A quantum resonance catastrophe for transport through an AC driven impurity
• Non-Hermitian Floquet invisibility
• Non-Hermitian invisibility in tight-binding lattices
• Photovoltage in curved 1D systems
• Transport through an AC driven impurity: Fano interference and bound states in the continuum