Floquet scattering through a time-periodic potential

Li, Wenjun; Reichl, L. E.

doi:10.1103/physrevb.60.15732

Cited by 163 publications

(210 citation statements)

References 26 publications

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“…This dynamic Stark shift can be investigated quantitatively by computing the determinant of the matrix M s defined in Including drive, Z 1 > 0, the zeros of the determinant move into the complex energy plane [26,38], E b → E zero , signaling a quasibound state. The resonance energy E r = Re(E zero ) is then shifted from E b .…”

Section: Dynamic Stark Shiftmentioning

confidence: 99%

Resonant second-harmonic generation in a ballistic graphene transistor with an ac-driven gate

2016

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We report a theoretical study of time-dependent transport in a ballistic graphene field effect transistor. We develop a model based on Floquet theory describing Dirac electron transmission through a harmonically driven potential barrier. Photon-assisted tunneling results in excitation of quasibound states at the barrier. Under resonance conditions, the excitation of the quasibound states leads to promotion of higher-order sidebands and, in particular, an enhanced second harmonic of the source-drain conductance. The resonances in the main transmission channel are of the Fano form, while they are of the Breit-Wigner form for sidebands. For weak ac drive strength Z 1 , the dynamic Stark shift scales as Z 4 1 , while the resonance broadens as Z 2 1 . We discuss the possibility of utilizing the resonances in prospective ballistic high-frequency devices, in particular frequency doublers operating at high frequencies and low temperatures.

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Section: Dynamic Stark Shiftmentioning

confidence: 99%

Resonant second-harmonic generation in a ballistic graphene transistor with an ac-driven gate

2016

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“…Even though these results where derived for an oscillating delta potential, a similar behavior can be expected to be found for other oscillating finite-range potentials such as the Landauer-Büttiker potential, since this potential reduces to the oscillating delta in an appropriate limit, and also because several common features can already be observed when comparing the transmission curves for this two potentials (see [9]) . The exact solution for the oscillating delta plus a static (attractive or repulsive) delta potential can be found using the same C.F.…”

Section: Discussionmentioning

confidence: 86%

“…A formal treatment of the problem of scattering by a time-periodic potential can be found in [9,19]. Also, a discussion about the sub-space of the Hilbert space suitable for the treatment of time-periodic potentials can be found in [20].…”

Section: Scattering Matrix and Transmission Amplitudesmentioning

confidence: 99%

“…We believe our work gives some insight and clarifies issues in the general problem of scattering through harmonically driven localized potentials. One such potential is the Landau-Büttiker potential, for which numerical and analytical studies of the transmission have been done [9,10], showing many similarities with the transmission properties of the potential studied in this paper.…”

Section: Introductionmentioning

confidence: 99%

“…Time-dependent potentials in mesoscopic systems have been studied for a number of years in connection with electron-phonon interactions [1], quantum tunneling time [2,3,4], ionization [5,6], electronic transmission [7,8,9,10] and also in the field of quantum chaos [11]. One of the interesting features of localized time-periodic potentials is the presence of resonances or quasi-bound "states", which could be thought of as electrons dynamically trapped by the oscillating potential.…”

Section: Introductionmentioning

confidence: 99%

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Transmission properties of the oscillating δ-function potential

Martinez

Reichl

2001

Phys. Rev. B

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We derive an exact expression for the transmission amplitude of a particle moving through a harmonically driven delta-function potential by using the method of continued-fractions within the framework of Floquet theory. We prove that the transmission through this potential as a function of the incident energy presents at most two real zeros, that its poles occur at energies nhω + ε * (0 < Re(ε * )

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Shot noise in non-adiabatically driven nanoscale conductors

Kaiser

Kohler

2007

Ann. Phys.

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We investigate the noise properties of pump currents through molecular wires and coupled quantum dots. As a model we employ a two level system that is connected to electron reservoirs and is non-adiabatically driven. Concerning the electron-electron interaction, we focus on two limits: non-interacting electrons and strong Coulomb repulsion. While the former case is treated within a Floquet scattering formalism, we derive for the latter case a master equation formalism for the computation of the current and the zero-frequency noise. For a pump operated close to internal resonances, the differences between the non-interacting and the strongly interacting limit turn out to be surprisingly small.Comment: 17 pages, 2 figure

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Floquet scattering through a time-periodic potential

Cited by 163 publications

References 26 publications

Resonant second-harmonic generation in a ballistic graphene transistor with an ac-driven gate

Resonant second-harmonic generation in a ballistic graphene transistor with an ac-driven gate

Transmission properties of the oscillating δ-function potential

Shot noise in non-adiabatically driven nanoscale conductors

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