6533b852fe1ef96bd12aad1b

RESEARCH PRODUCT

Quantum wire with periodic serial structure

S. KlarsfeldHua WuJ. MartorellDonald W. L. Sprung

subject

Wave propagationThin filmsDispersió (Física nuclear)Schrödinger equationElectronTransport d'electronsSchrödinger equationsymbols.namesakeOpticsQuantum mechanicsPel·lícules finesPhysicsMesoscopic physicsFenòmens mesoscòpics (Física)business.industryQuantum wireElectron transportNanostructured materialsTransfer matrixElectronic transportProduct (mathematics)Scattering (Physics)Equació de SchrödingersymbolsMesoscopic phenomena (Physics)Fundamental Resolution EquationMaterials nanoestructuratsbusinessTeoria del transport

description

Electron wave motion in a quantum wire with periodic structure is treated by direct solution of the Schr\"odinger equation as a mode-matching problem. Our method is particularly useful for a wire consisting of several distinct units, where the total transfer matrix for wave propagation is just the product of those for its basic units. It is generally applicable to any linearly connected serial device, and it can be implemented on a small computer. The one-dimensional mesoscopic crystal recently considered by Ulloa, Casta\~no, and Kirczenow [Phys. Rev. B 41, 12 350 (1990)] is discussed with our method, and is shown to be a strictly one-dimensional problem. Electron motion in the multiple-stub T-shaped potential well considered by Sols et al. [J. Appl. Phys. 66, 3892 (1989)] is also treated. A structure combining features of both of these is investigated.

10.1103/physrevb.44.6351http://hdl.handle.net/2445/10494