The quantum state depression effect in nanostructured quantum well

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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7 pages,7 figures

Scientific paper

Recently, quantum state depression was observed and studied in a quantum well with a nanostructured surface. Periodic ridges in the surface, forming a diffraction grating-like structure, impose additional boundary conditions on the electron wave function. Supplementary boundary conditions forbid some quantum states and reduce quantum state density. Owing to the Pauli Exclusion Principle, electrons rejected from the forbidden quantum states have to occupy states with higher energies. Thus, the chemical potential increases and becomes dependent on grating size. Geometry factor G was used to describe this dependence. G(E) was investigated and an approximate analytical expression for G was verified using the periodic orbit theory. In semiconductors, the G value can be adjusted using charge depletion. This allows carrier density and transport coefficients to be varied by applying external voltage or temperature gradient.

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