Mono-parametric quantum charge pumping: Interplay between spatial interference and photon-assisted tunneling

Torres, Luis E. F. Foa

doi:10.1103/physrevb.72.245339

Cited by 132 publications

(132 citation statements)

References 39 publications

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“…It is interesting to notice that at zero bias voltage, although there are no net charge and spin currents between the left and right leads, finite charge and spin currents circling around the ring can exist when the ring is threaded by a magnetic flux [34]. It is also noted that when the QD in this system is driven by a time dependent gate, even at zero bias a charge or spin current might be observed due to the quantum pumping phenomena [35]. Conclusions: In summary, we have investigated the Rashba SO coupling effect on the electron transport through a AB interferometer with one arm side-coupled with a QD.…”

mentioning

confidence: 99%

Spin interference and the Fano effect in electron transport through a mesoscopic ring side-coupled with a quantum dot

Ding

Dong²

2010

J. Phys.: Condens. Matter

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We investigate the electron transport through a mesoscopic ring side-coupled with a quantum dot(QD) in the presence of Rashba spin-orbit(SO) interaction. It is shown that both the Fano resonance and the spin interference effects play important roles in the electron transport properties. As the QD level is around the Fermi energy, the total conductance shows typical Fano resonance line shape. By applying an electrical gate voltage to the QD, the total transmission through the system can be strongly modulated. By threading the mesoscopic ring with a magnetic flux, the time-reversal symmetry of the system is broken, and a spin polarized current can be obtained even though the incident current is unpolarized. Introduction: Spin related transport in semiconductor systems has attracted great interest in the field of spintronics[1], in which a variety of efforts are devoted to use the electron spin instead of the electron charge for information processing or even quantum information processing. Several interesting spintronic devices have been proposed, the most prominent one is the Datta-Das spin field effect transistor(SFET) [2]. This proposal uses the Rashba SO coupling [3]to perform the controlled rotations of the spin of electron. Although the SFET hasn't been realized in experiment by now, it has been demonstrated in experiments that the strength of the SO interaction is quite tunable by an external electric field or gate voltage, which gives the SFET a promising future [4].

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confidence: 99%

Spin interference and the Fano effect in electron transport through a mesoscopic ring side-coupled with a quantum dot

Ding

Dong²

2010

J. Phys.: Condens. Matter

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“…With the exception of a few papers [22,[24][25][26][27]49], the earlier studies of charge pumping have generally considered systems in which oscillating potentials are applied to two or more sites. In such cases, it is known that if the oscillation frequency ω is small, the dc part of the pumped current is proportional to ω; the charge pumped per cycle (with time period 2π/ω) therefore has a finite value in the adiabatic limit ω → 0.…”

Section: Introductionmentioning

confidence: 99%

“…For the case of non-interacting electrons, theoretical studies of this phenomenon have used adiabatic scattering theory [9][10][11][12][13][14][15][16][17], Floquet scattering theory [21][22][23], the nonequilibrium Green function formalism [24][25][26][27], and the equation of motion approach [36,37]. The case of interacting electrons has been studied using a renormalization group method for weak interactions [50], and the method of bosonization for arbitrary interactions [51][52][53][54][55][56][57][58][59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic charge pumping by oscillating potentials in one dimension: Results for infinite system and finite ring

Soori

Sen

2010

Phys. Rev. B

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We study charge pumping when a combination of static potentials and potentials oscillating with a time period T is applied in a one-dimensional system of non-interacting electrons. We consider both an infinite system using the Dirac equation in the continuum approximation, and a periodic ring with a finite number of sites using the tight-binding model. The infinite system is taken to be coupled to reservoirs on the two sides which are at the same chemical potential and temperature. We consider a model in which oscillating potentials help the electrons to access a transmission resonance produced by the static potentials, and show that non-adiabatic pumping violates the simple sin φ rule which is obeyed by adiabatic two-site pumping. For the ring, we do not introduce any reservoirs, and we present a method for calculating the current averaged over an infinite time using the time evolution operator U (T ) assuming a purely Hamiltonian evolution. We analytically show that the averaged current is zero if the Hamiltonian is real and time reversal invariant. Numerical studies indicate another interesting result, namely, that the integrated current is zero for any time-dependence of the potential if it is applied to only one site. Finally we study the effects of pumping at two sites on a ring at resonant and non-resonant frequencies, and show that the pumped current has different dependences on the pumping amplitude in the two cases.

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“…[25][26][27][28][29][30][31][32] The basic idea of these setups is the generation of a dc current in the absence of an explicit dc bias. Most of the studied devices are mesoscopic structures locally driven by ac gate voltages.…”

Section: Introductionmentioning

confidence: 99%

“…Pumping mechanisms have been studied in rings threaded by a static magnetic flux and driven by applying a local ac gate voltage at some point of the circumference. 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.…”

Section: Introductionmentioning

confidence: 99%

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

Ludovico

Arrachea

2013

Phys. Rev. B

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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.

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Mono-parametric quantum charge pumping: Interplay between spatial interference and photon-assisted tunneling

Cited by 132 publications

References 39 publications

Spin interference and the Fano effect in electron transport through a mesoscopic ring side-coupled with a quantum dot

Spin interference and the Fano effect in electron transport through a mesoscopic ring side-coupled with a quantum dot

Nonadiabatic charge pumping by oscillating potentials in one dimension: Results for infinite system and finite ring

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

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