Momentum filtering by photon-assisted tunneling in a connected Aharonov-Bohm ring

Shin, Dongkwan; Hong, Jongbae

doi:10.1103/physrevb.72.113307

Cited by 6 publications

(4 citation statements)

References 14 publications

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“…Loosely speaking, these additional satellite peaks represent the emission or absorption of a photon; hence that part of the paper's title 'photon-assisted tunnelling' finds its meaning. (The reader is also referred to the continuum AB ring cases [29,[32][33][34] to observe similar characteristics.) We indeed see these expected behaviours in figure 4(a): there appear four satellite peaks only around the central transmission peak, symmetrically distributed at locations E ≈ ±ω and E ≈ ±2ω; the closer to the main peak a satellite peak is, the bigger its height is.…”

Section: Resultsmentioning

confidence: 92%

Phonon–photon-assisted tunnelling through an Aharonov–Bohm ring

Shin¹,

Oymak²,

Hong³

2007

J. Phys.: Condens. Matter

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We model a four-site tight-binding Aharonov-Bohm (AB) ring whose sites house dispersionless Einstein phonons. The resonant tunnelling of an electron through the AB ring in the presence of a time-periodic magnetic flux which threads the ring is investigated. The Floquet scattering approach is followed within the electron-phonon Fock space. The Ricatti matrix method, a nonperturbative pruning technique, is utilized to extract the transmission properties of the system from the time-dependent Schrödinger equation. We observe additional satellite peaks in the total transmission graphs representing the photon-assisted tunnelling, as well as side resonances due to the phononassisted tunnelling. There happen to exist unusually stiff main transmission peaks that are not disturbed by the strong time-periodic magnetic flux, a finding attributed to the geometric characteristics of the AB ring.

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Section: Resultsmentioning

confidence: 92%

Phonon–photon-assisted tunnelling through an Aharonov–Bohm ring

Shin¹,

Oymak²,

Hong³

2007

J. Phys.: Condens. Matter

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“…v c > [∼e] = 2. Since the above Bessel function is fast convergent, it is sufficient to include terms up to v = 13 for the numerical calculations [16,17,31]. The same upper bound is chosen for the sideband index of the lead.…”

Section: Current Density Waves In the Open Mesoscopic Ringsmentioning

confidence: 99%

“…Physically, the existence of the sideband transitions is due to the oscillating flux drivings, and the electron could be reflected back to the lead via multiple sidebands. Therefore, the average currents along the lead and ring relate to the reflection coefficient R in equation (17). In figures 4(a)-(c), we plot the reflection coefficient R, the average current in the lead I lead and the average current along the ring as functions of the static magnetic flux f s .…”

Section: Time Average Currents In the Lead And The Ring With A Single...mentioning

confidence: 99%

“…It is expected that electronic transports along these topologically nontrivial structures could reveal certain new phenomena. For example, Shin and Hong [16,17] discussed the transport of electrons along a nanostructure of connected double-rings with two leads; each ring is threaded by both static and dynamically changed fluxes. They showed that electron pumping could be implemented by using the PAT along such a double-ring structure, and also the generated PAT process could be utilized to filter the momentum of transported electrons.…”

Section: Introductionmentioning

confidence: 99%

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Current density waves in open mesoscopic rings driven by time-periodic magnetic fluxes

Yan

Wei

2010

J. Phys.: Condens. Matter

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Quantum coherent transport through open mesoscopic Aharonov-Bohm rings (driven by static fluxes) have been studied extensively. Here, by using quantum waveguide theory and the Floquet theorem we investigate the quantum transport of electrons along an open mesoscopic ring threaded by a time-periodic magnetic flux. We predicate that current density waves could be excited along such an open ring. As a consequence, a net current could be generated along the lead with only one reservoir, if the lead additionally connects to such a normal-metal loop driven by the time-dependent flux. These phenomena could be explained by photon-assisted processes, due to the interaction between the transported electrons and the applied oscillating external fields. We also discuss how the time-average currents (along the ring and the lead) depend on the amplitude and frequency of the applied oscillating fluxes.

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Photon-assisted tunneling through open mesoscopic rings threaded by time-periodic magnetic fluxes

Yan

Wei

2010

Physica B: Condensed Matter

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Momentum filtering by photon-assisted tunneling in a connected Aharonov-Bohm ring

Cited by 6 publications

References 14 publications

Phonon–photon-assisted tunnelling through an Aharonov–Bohm ring

Phonon–photon-assisted tunnelling through an Aharonov–Bohm ring

Current density waves in open mesoscopic rings driven by time-periodic magnetic fluxes

Photon-assisted tunneling through open mesoscopic rings threaded by time-periodic magnetic fluxes

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