Electron transport in the Aharonov-Bohm pump

Shin, Dongkwan; Hong, Jongbae

doi:10.1103/physrevb.70.073301

Cited by 15 publications

(11 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Ref. 25, a related effect was seen, in a very different configuration involving two loops where the pumping parameters were time-varying magnetic fields. In that work, the static field also breaks the symmetry, allowing a pumping current to arise.…”

Section: Pumping Through a Loop Geometrymentioning

confidence: 89%

Adiabatic quantum pumping in an Aharonov-Bohm loop and in a siliconlike nanowire: The role of interference in position space and in momentum space

2007

View full text Add to dashboard Cite

We study the consequences of interference effects on the current generated by adiabatic quantum pumping in two distinct one-dimensional lattice models. The first model contains an Aharonov-Bohm ͑AB͒ loop within a tight-binding chain of lattice sites. The static AB phase is shown to strongly affect interference between the two arms of the loop, serving as an on-off switch and regulator for the pumped current. The second model simulates pumping in semiconductors with indirect band gaps by utilizing a tight-binding chain with nextnearest-neighbor coupling. The model exhibits signatures of interference between degenerate conduction band states with different Fermi wave vectors.

show abstract

Section: Pumping Through a Loop Geometrymentioning

confidence: 89%

Adiabatic quantum pumping in an Aharonov-Bohm loop and in a siliconlike nanowire: The role of interference in position space and in momentum space

2007

View full text Add to dashboard Cite

show abstract

“…19 In the case of two rings, we have shown that adiabatic pumping is possible provided that the two magnetic fluxes have ac components oscillating with a phase lag and also have a finite dc component, which is in agreement with previous results. 36 Finally, we have analyzed the behavior of the dc currents in setups with one and two rings as the dc magnetic flux is varied with and without applied dc voltage. For the case of a single ring, we found that the nonadiabatic pumped current does not have in general any particular symmetry as a function of the dc flux, indicating that the Onsager-Casimir relations are not valid in this system.…”

Section: Discussionmentioning

confidence: 99%

“…26,[30][31][32] Adiabatic pumping was proposed to be generated by two rings threaded by harmonic magnetic fluxes oscillating with a phase lag and connected by a tunneling contact. 36 There is also a very recent proposal of generating pumping with magnetic fluxes in Cooper-pair boxes. 37 In this work, we study configurations containing one and two rings connected to two different particle reservoirs and threaded by magnetic fluxes with dc and ac components.…”

Section: Introductionmentioning

confidence: 99%

Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry

Ludovico

Arrachea

2013

Phys. Rev. B

View full text Add to dashboard Cite

We study the transport properties of setups with one and two mesoscopic rings threaded by ac magnetic fluxes of the form (t) = dc + ac cos( 0 t + δ) and connected to two different particle reservoirs. We analyze the conditions to generate a pumped dc current in the adiabatic regime. We also study the symmetry properties of the induced dc current as a function of the static component of the flux dc with and without a dc bias voltage applied at the reservoirs. We analyze, in particular, the validity of the Onsager-Casimir relations for different configurations of the setups.

show abstract

“…The majority of studies on dynamical scattering have been focused on time-periodic potentials, where Floquet theory applies and the scattering process is fully described by reflection and transmission amplitudes for elastic and inelastic scattering channels [7,8,[29][30][31]. Floquet scattering is at the heart of some important physical effects, such as photon-assisted tunneling [14,32,33], quantum pumps [34][35][36][37], chaos-assisted tunneling [28,[38][39][40][41], coherent destruction of tunneling [8,42], quantum interference [43], Floquet-Fano resonances [17,31], field-induced barrier transparency [44,45], etc. Scattering from arbitrary time-periodic potentials or from stationary potentials with external non-periodic driving fields has received less attention so far [46][47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Scattering of accelerated wave packets

2018

View full text Add to dashboard Cite

Wave-packet scattering from a stationary potential is significantly modified when the wave packet is subject to an external time-dependent force during the interaction. In the semiclassical limit, wave-packet motion is simply described by Newtonian equations, and the external force can, for example, cancel the potential force, making a potential barrier transparent. Here we consider wave-packet scattering from reflectionless potentials, where in general the potential becomes reflective when probed by an accelerated wave packet. In the particular case of the recently introduced class of complex Kramers-Kronig potentials we show that a broad class of timedependent forces can be applied without inducing any scattering, while there is a breakdown of the reflectionless property when there is a broadband distribution of initial particle momentum, involving both positive and negative components.

show abstract

Electron transport in the Aharonov-Bohm pump

Cited by 15 publications

References 21 publications

Adiabatic quantum pumping in an Aharonov-Bohm loop and in a siliconlike nanowire: The role of interference in position space and in momentum space

Adiabatic quantum pumping in an Aharonov-Bohm loop and in a siliconlike nanowire: The role of interference in position space and in momentum space

Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry

Scattering of accelerated wave packets

Contact Info

Product

Resources

About