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Electron Trapping In A One-Dimensional Semiconductor Quantum Wire With Multiple Impurities, S. Tanaka, S. Garmon, Gonzalo Ordonez, T. Petrosky Jan 2007

Electron Trapping In A One-Dimensional Semiconductor Quantum Wire With Multiple Impurities, S. Tanaka, S. Garmon, Gonzalo Ordonez, T. Petrosky

Scholarship and Professional Work - LAS

We demonstrate the trapping of a conduction electron between two identical adatom impurities in a one-dimensional semiconductor quantum-dot array system (quantum wire). Bound steady states arise even when the energy of the adatom impurity is located in the continuous one-dimensional energy miniband. The steady state is a realization of the bound state in continuum (BIC) phenomenon first proposed by von Neuman and Wigner [Phys. Z. 30, 465 (1929)]. We analytically solve the dispersion equation for this localized state, which enables us to reveal the mechanism of the BIC. The appearance of the BIC state is attributed to the quantum …