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Some analytical results in phase coherent transport in quantum wire
Mardaani, M ; Sharif University of Technology | 2004
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- Type of Document: Article
- DOI: 10.1016/j.physe.2004.06.057
- Publisher: 2004
- Abstract:
- A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new method for the calculation of the Green's function (GF) and the coherent transmission coefficient. In particular, the problem of a uniform dot (simple cubic uniform dot attached to the simple cubic wire), with all onsites equal and all hoppings equal is solved fully analytically. The energy and dot-length dependence of the GF, local density of states (LDOS), the transmission coefficient and bound state energies are also derived. © 2004 Elsevier B.V. All rights reserved
- Keywords:
- Analytical results ; Bound state ; Coherent transport ; Green function ; Quantum wire
- Source: Physica E: Low-Dimensional Systems and Nanostructures ; Volume 25, Issue 1 , 2004 , Pages 119-130 ; 13869477 (ISSN)
- URL: https://www.sciencedirect.com/science/article/abs/pii/S1386947704003212