Bound states in the continuum driven by AC fields

González-Santander, C.; Orellana, P. A.; Domı́nguez-Adame, F.

doi:10.1209/0295-5075/102/17012

Cited by 26 publications

(23 citation statements)

References 24 publications

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“…Electrons interact with a local vibration mode of each quantum dot. In the absence of interaction, the system supports a BIC, which reveals itself as a Fano antiresonance in the transmission coefficient [21]. When the electron-vibron interaction is taken into account, we found that the main features of the spectral function and the transmission coefficient remain, besides th occurrence of well-defined sidebands.…”

Section: Discussionmentioning

confidence: 66%

“…In this case the spectral function approaches a δ-function, indicating the existence of a truly bound state with energy ω = 0 located at both quantum dots [21]. In other words, the localizd state becomes effectively decoupled from the continuum states but its energy lies within the band (BIC).…”

Section: Non-interacting Dqd Systemmentioning

confidence: 95%

“…However, it is still an open question to what extend interactions would mask the effect in a real experiment.Žtiko et al have shown that the so-called dark states in parallel DQD systems, corresponding to BICs discussed in Ref. [21], are robust against electronelectron interactions, at least in the Kondo regime [25].…”

Section: Introductionmentioning

confidence: 94%

“…Aiming to introduce a physical realizable system to reveal the existence of BICs in transport experiments, we have recently studied a parallel DQD system [21]. The coupling between the BIC and the continuum energy states was controlled by detuning the energy levels of each quantum dot using gate voltages.…”

Section: Introductionmentioning

confidence: 99%

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Impact of electron–vibron interaction on the bound states in the continuum

et al. 2015

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Section: Discussionmentioning

confidence: 66%

Section: Non-interacting Dqd Systemmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

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Impact of electron–vibron interaction on the bound states in the continuum

et al. 2015

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“…Periodically driven tunneling has been studied before by several authors [19][20][21][22][23]. Interestingly, recent works have highlighted the possibility of observing AC-driven bound states in the continuum (BIC's) in transport experiments [15,[24][25][26]. First proposed by von Neumann and Wigner [27], BIC's consist of spatially localized states embedded in the spectrum of scattering states.…”

Section: Introductionmentioning

confidence: 99%

Transport through an AC-driven impurity: Fano interference and bound states in the continuum

et al. 2017

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Using the Floquet formalism we study transport through an AC-driven impurity in a tight binding chain. The results obtained are exact and valid for all frequencies and barrier amplitudes. At frequencies comparable to the bulk bandwidth we observe a breakdown of the transmission T=0 which is related to the phenomenon of Fano resonances associated to AC-driven bound states in the continuum. We also demonstrate that the location and width of these resonances can be modified by tuning the frequency and amplitude of the driving field. At high frequencies there is a close relation between the resonances and the phenomenon of coherent destruction of tunneling. As the frequency is lowered no more resonances are possible below a critical value and the results approach a simple time average of the static transmission. J n j J J n New J. Phys. 19 (2017) 043029 S A Reyes et al 4.3. Inhomogeneous coupling to the impurity site ¢ ¹ J J Let us now go back to the tight binding model in order to explore what happens when we consider a different coupling to the impurity site ( ¢ ¹ J J ) corresponding to physical realizations where the coupling to the driven impurity may also differ from the ones along the chain.In figure 5 we show results for the transmission for a weaker hopping amplitude ¢ = J J 0.9 . While there are similarities to the homogeneous case discussed above, the resonances now start at a finite value of m > 0 according to equation (17). As can clearly be seen in the bottom part of figure 5 for w = J 3 accordingly there is a dip but no resonance for m = J , while the resonance at m = J 3 is relatively sharp. As shown in figure 6 (top) for larger hopping amplitude ¢ = J J 2 we observe a general increase in transmission across the parameter space and the resonances move to higher frequencies for a given energy of the incoming wave following equation (16). Correspondingly, the resonances are also displaced in energy at fixed frequency w = J 3 as shown in figure 6 (bottom). These features can be interpreted nicely by using the Fano resonances due to the 'side-attached' systems explained above and depicted in figure 2. It turns out that the two resonances we observe in figures 5 and 6 are Figure 4. Transmission coefficient in the limit of vanishing lattice spacing for  ¢ = 1 in units of 1/2m, i.e. for a quadratic dispersion relation with a local driving in form of a delta-function. 6 New J. Phys. 19 (2017) 043029 S A Reyes et alFigure 5. Transmission coefficient for modified coupling ¢ = J J 0.9 . Top: for a fixed energy  = -J 0.5 as a function of μ and ω. The dashed lines depict the analytic approximations for the location of the resonances at high frequencies (green), and close to where they emerge (red) from equation (15). Bottom: for fixed frequency w = J 3 .Figure 6. Transmission coefficient for modified coupling ¢ = J J 2 . Top: for a fixed energy  = -J 0.5 as a function of μ and ω. The red dashed lines depict the analytic approximations for the location of the resonances close to where they emerge from equation ...

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Bound states in the continuum and spin filter in quantum-dot molecules

Ramos

Orellana

2014

Physica B: Condensed Matter

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In this paper we study the formation of bound states in the continuum in a quantum dot molecule coupled to leads. Based in the combination of bound states in the continuum and Fano effect, we propose a new design of a spin-dependent polarizer. By lifting the spin degeneracy of the carriers in the quantum dots by means of a magnetic field the system can be used as a spin-polarized device. A detailed analysis of the spin-dependent conductance and spin polarization as a function of the applied magnetic field and gate voltages is carried out.

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Bound states in the continuum driven by AC fields

Cited by 26 publications

References 24 publications

Impact of electron–vibron interaction on the bound states in the continuum

Impact of electron–vibron interaction on the bound states in the continuum

Transport through an AC-driven impurity: Fano interference and bound states in the continuum

Bound states in the continuum and spin filter in quantum-dot molecules

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