Resonant tunneling in a pulsed phonon field

Jauho, Antti–Pekka

doi:10.1103/physrevb.59.7656

Cited by 9 publications

(5 citation statements)

References 24 publications

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“…The other school is using simplified models which allows the analysis to be carried much further. Considerable progresses have been made in this respect for a localized level described by a Lundquist-like model 31,32,33 and for the so called "Coulomb island" 34,35 where H 0 in Eq. ( 24) is replaced by the Anderson Hamiltonian.…”

Section: Interacting Systemsmentioning

confidence: 99%

Time-dependent partition-free approach in resonant tunneling systems

2004

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An extended Keldysh formalism, well suited to properly take into account the initial correlations, is used in\ud order to deal with the time-dependent current response of a resonant tunneling system. We use a partition-free\ud approach by Cini in which the whole system is in equilibrium before an external bias is switched on. No\ud fictitious partitions are used. Despite a more involved formulation, this partition-free approach has many\ud appealing features being much closer to what is experimentally done. In particular, besides the steady-state\ud responses one can also calculate physical dynamical responses. In the noninteracting case we clarify under\ud what circumstances a steady-state current develops and compare our result with the one obtained in the\ud partitioned scheme. We prove a theorem of asymptotic equivalence between the two schemes for arbitrary\ud time-dependent disturbances. We also show that the steady-state current is independent of the history of the\ud external perturbation\ud ~\ud memory-loss theorem\ud !\ud . In the so-called wide-band limit an analytic result for the time-\ud dependent current is obtained. In the interacting case we work out the lesser Green function in terms of the\ud self-energy and we recover a well-known result in the long-time limit. In order to overcome the complications\ud arising from a self-energy which is nonlocal in time we propose an exact nonequilibrium Green-function\ud approach based on time-dependent density-functional theory. The equations are no more difficult than an\ud ordinary mean-field treatment. We show how the scattering-state scheme by Lang follows from our formula-\ud tion. An exact formula for the steady-state current of an arbitrary interacting resonant tunneling system is\ud obtained. As an example the time-dependent current response is calculated in the random-phase approximation

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Section: Interacting Systemsmentioning

confidence: 99%

Time-dependent partition-free approach in resonant tunneling systems

2004

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“…The integration over gives unity, and n B ()ϭ1/͓exp(ប/kT)Ϫ1͔ is the Bose-Einstein distribution. If the scattering parameter g ϭ(M 0 /ប Q ) 2 increases in value (gϾ0.1), 35 the electron levels become broadened and the optical transitions detuned. Then the dependence of ⌺ 0;cc,s Ͼ (n,) reflects the changing density of states within these quasiparticle levels ͓see the discussion after Eqs.…”

Section: A Approximations Of the Scattering Self-energymentioning

confidence: 99%

Quantum kinetic theory of two-beam current injection in bulk semiconductors

Sipe¹

2000

Phys. Rev. B

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We develop a theory of current injection in bulk semiconductors by simultaneous excitation with two laser beams with frequencies 2 0 , 0. Coherent mixing of the resulting one-and two-photon transitions generates an effective field A e f f (k) with different strengths at Ϯk points in momentum space. This asymmetry in carrier generation, producing the induced current, is controlled by the relative phase of the two fields. Quantum kinetic equations for the photogenerated carriers are derived from nonequilibrium Green functions. They are simplified here to the Boltzmann limit, and applied to a model of GaAs in the presence of LO phonons. Different forms of the conduction electron distributions result for generation from light-and heavy-hole bands, and give different saturation and relaxation rates for the induced current. Generation of THz radiation by the current is also discussed.

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“…If the droplet does not catch the ion within several of its runs around the periodic system, the ion might heat and temporally evaporate the droplet. The transient oscillations observed in this ion catching closely resemble quasiparticle formation in condensed matter systems [29]. Finally, we check if boron-nitride nanotubes could be potentially used for the ion-droplet dragging.…”

mentioning

confidence: 69%

Dragging of Polarizable Nanodroplets by Distantly Solvated Ions

Wang

2008

Phys. Rev. Lett.

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We show by molecular dynamics simulations that ions intercalated in carbon and boron-nitride nanotubes can be solvated at distance in polarizable nanodroplets adsorbed on their surfaces. When the ions are driven in the nanotubes by electric fields, the adsorbed droplets are dragged together with them. We illustrate this phenomenon by dragging assemblies of 20-10,000 water molecules by individual Na+ and Cl- ions. This ion-facilitated dragging could be applied in molecular delivery, separation, and desalination.

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Resonant tunneling in a pulsed phonon field

Cited by 9 publications

References 24 publications

Time-dependent partition-free approach in resonant tunneling systems

Time-dependent partition-free approach in resonant tunneling systems

Quantum kinetic theory of two-beam current injection in bulk semiconductors

Dragging of Polarizable Nanodroplets by Distantly Solvated Ions

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