2004
DOI: 10.1088/0953-8984/16/10/011
|View full text |Cite
|
Sign up to set email alerts
|

Charge pumping in quantum wires

Abstract: The theory of charge pumping through a quantum wire is considered in the tight binding approximation. By introducing the Ricatti operator in the Hilbert space of the side-band states (Floquet states) we drive the Ricatti equation for a quantum wire driven by a time-periodic potential. Then a recursive method is developed for numerical calculation of the Floquet scattering matrix by expressing the right and left transmission and reflection operators in terms of the Ricatti operator. We then apply the method to … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
12
0

Year Published

2007
2007
2015
2015

Publication Types

Select...
8

Relationship

0
8

Authors

Journals

citations
Cited by 11 publications
(12 citation statements)
references
References 17 publications
0
12
0
Order By: Relevance
“…The escaping or leaking of electrons from the dot increases with increasing coupling strength which also reduces the time that electrons relax to the reservoirs. Therefore, one would expect the performance of pumping to be suppressed by the increased coupling strength due to the opening of the dot, [16][17][18][19] or the dephasing due to the inelastic scattering from a third fictitious voltage probe. 20) (2) If the current is a result of any circuitry effect (for example, classical dependence of the resistance on the applied electric fields or cross talk between the electric signals), I p would increase monotonically with increasing dot resistance regardless of the mode number N, and I p ½N ¼ ð0; 0Þ should be greater than I p ½N ¼ ð1; 1Þ.…”
Section: Resultsmentioning
confidence: 99%
“…The escaping or leaking of electrons from the dot increases with increasing coupling strength which also reduces the time that electrons relax to the reservoirs. Therefore, one would expect the performance of pumping to be suppressed by the increased coupling strength due to the opening of the dot, [16][17][18][19] or the dephasing due to the inelastic scattering from a third fictitious voltage probe. 20) (2) If the current is a result of any circuitry effect (for example, classical dependence of the resistance on the applied electric fields or cross talk between the electric signals), I p would increase monotonically with increasing dot resistance regardless of the mode number N, and I p ½N ¼ ð0; 0Þ should be greater than I p ½N ¼ ð1; 1Þ.…”
Section: Resultsmentioning
confidence: 99%
“…for QD or double-QD (double-atom) systems [2,5,[9][10][11]. Also onedimensional quantum structures in the presence of periodic potentials applied to two sites were proposed as charge pumps [12][13][14][15][16]. For more complex systems adiabatic quantum pumps have been studied as well, e.g.…”
Section: Introductionmentioning
confidence: 99%
“…In this case the phase difference in the ac signal (between both QD sites) is crucial for electron pumping. In one-dimensional systems an oscillating potential (harmonic, pulsed or delta-like) applied to two sites of a wire [23][24][25][26] as well as the train impulse [11] can generate the net electron or spin currents.…”
Section: Introductionmentioning
confidence: 99%