Trapping of an Electron in the Transmission through Two Quantum Dots Coupled by a Wire
- 1 January 2005
- journal article
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 82 (8), 498-503
- https://doi.org/10.1134/1.2150869
Abstract
We consider single-channel transmission through a double quantum dot that consists of two identical single dots coupled by a wire. The numerical solution for the scattering wave function shows that the resonance width of a few of the states may vanish when the width (or length) of the wire and the energy of the incident particle each take a certain value. In such a case, a particle is trapped inside the wire as the numerical visualization of the scattering wave function shows. To understand these numerical results, we explore a simple model with a small number of states, which allows us to consider the problem analytically. If the eigenenergies of the closed system cross the energies of the transmission zeroes, the wire effectively decouples from the rest of the system and traps the particle.Keywords
This publication has 26 references indexed in Scilit:
- Zeros in single-channel transmission through double quantum dotsPhysical Review E, 2005
- Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dotPhysical Review E, 2005
- Transition between Quantum States in a Parallel-Coupled Double Quantum DotPhysical Review Letters, 2004
- S-matrix theory for transmission through billiards in tight-binding approachJournal of Physics A: General Physics, 2003
- Effects of signs in tunneling matrix elements on transmission zeros and phasePhysical Review B, 2003
- Ghost Fano resonance in a double quantum dot molecule attached to leadsPhysical Review B, 2003
- Conductance of open quantum billiards and classical trajectoriesPhysical Review B, 2002
- Whispering gallery modes in open quantum billiardsPhysical Review E, 2001
- Two-channel resonant tunnelingPhysical Review B, 1994
- Spectroscopic properties of highly excited statesPhysical Review C, 1985