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Volumn 46, Issue 3 A, 2007, Pages 1224-1235

First-principles study of time-dependent phenomena in photon-assisted tunneling: I. An electron injected into two-dimensional lozenge quantum dot

Author keywords

Lifetime; Photon assisted resonant tunneling; Rabi oscillation; Time dependent schr dlnger equation; Two photon process; Wave packet

Indexed keywords

LIGHT PROPAGATION; SEMICONDUCTOR QUANTUM DOTS; WAVE FUNCTIONS;

EID: 34347388743     PISSN: 00214922     EISSN: 13474065     Source Type: Journal    
DOI: 10.1143/JJAP.46.1224     Document Type: Article
Times cited : (14)

References (24)
  • 10
    • 34547905932 scopus 로고    scopus 로고
    • The effective atomic unit (a.u, is given using the effective mass of electron m* and the dielectric constant κs for the target materials. The effective Bohr radius is given as aB*, ℏ2(4πκs, m*e2, 98 Å when we use m*, 0.067m0 and κs, 12.4κ0 for GaAs QD. Similarly, the effective Rydberg constant Ry* is given as Ry*, m*e4/(4πκ sℏ)2, 5.9 meV
    • 2 = 5.9 (meV).
  • 15
    • 34547864818 scopus 로고    scopus 로고
    • We here define the index, i, ny, 1 to indicate the subband directly connecting to the node number toward the y direction
    • y - 1 to indicate the subband directly connecting to the node number toward the y direction.
  • 16
    • 34547884855 scopus 로고    scopus 로고
    • We here determine the stationary state when the transmitted wave packet is well separated from the reflected wave packet and also the relative strength of the distribution in the wave vector converges on a steady value
    • We here determine the stationary state when the transmitted wave packet is well separated from the reflected wave packet and also the relative strength of the distribution in the wave vector converges on a steady value.
  • 17
    • 34547920910 scopus 로고    scopus 로고
    • 3).
    • 3).
  • 18
    • 34547864439 scopus 로고    scopus 로고
    • g are the half-width of the energy for the transmittance peak, the width of the DBS, the tunneling probability and the group velocity, respectively.
    • g are the half-width of the energy for the transmittance peak, the width of the DBS, the tunneling probability and the group velocity, respectively.
  • 19
    • 34547875944 scopus 로고    scopus 로고
    • g). However, this type of multiprocess is not considered because of its significant small transition probability.
    • g). However, this type of multiprocess is not considered because of its significant small transition probability.
  • 20
    • 34547859859 scopus 로고    scopus 로고
    • 2, where A (= ωij -ω) is given by the energy difference between the frequencies of the resonant states ωij = ωi - ωj and that of the external photon electric field ω, One should also consider a change in electron density, which produces a discrepancy due to an inflow and an outflow of a Gaussian wave packet. Apart from these physical influences, the finite spatial grid employed here has difficulty in reproducing the resonant feature critically.
    • 2, where A (= ωij -ω) is given by the energy difference between the frequencies of the resonant states ωij = ωi - ωj and that of the external photon electric field ω, One should also consider a change in electron density, which produces a discrepancy due to an inflow and an outflow of a Gaussian wave packet. Apart from these physical influences, the finite spatial grid employed here has difficulty in reproducing the resonant feature critically.
  • 21
    • 34547874458 scopus 로고    scopus 로고
    • Beyond the rotation wave approximation, the resonant process causes the resonant frequency of the harmonic oscillation 2ω besides that of the fundamental resonant frequency ω, being equal to the energy difference between the two resonant states. This harmonic oscillation superposed in the Rabi oscillation should appear irrespective of the single or the two-photon processes.
    • Beyond the rotation wave approximation, the resonant process causes the resonant frequency of the harmonic oscillation 2ω besides that of the fundamental resonant frequency ω, being equal to the energy difference between the two resonant states. This harmonic oscillation superposed in the Rabi oscillation should appear irrespective of the single or the two-photon processes.
  • 22
    • 34547882212 scopus 로고    scopus 로고
    • 0 further causes the Rabi splitting to be obscure. However, we found a characteristic separation due to this Rabi splitting in individual k peaks when we employed a finer grid-mesh.
    • 0 further causes the Rabi splitting to be obscure. However, we found a characteristic separation due to this Rabi splitting in individual k peaks when we employed a finer grid-mesh.
  • 23
    • 34547870367 scopus 로고    scopus 로고
    • Let us first reproduce the RT feature under the zero-photon injection. According to Fig. 4, the effective lifetime τeffout is decomposed into two partial lifetimes of τeffin, 0.507ps and τeffout, 1.30ps. Figure 4 also reveals that the probability density at the QD decreases exponentially with time. This feature indicates that the reduction in the resonant state is intrinsically expressed by its own lifetime once when the resonant state is established. Thus, we fix the parameter Γ1out as ℏ/ τeffout, 0.767. The solution obtained using this parameter well simulates the characteristics in the time-dependent reduction in the electron probability density at the QD under a zero photon electric field
    • out = 0.767. The solution obtained using this parameter well simulates the characteristics in the time-dependent reduction in the electron probability density at the QD under a zero photon electric field.
  • 24
    • 34547877412 scopus 로고    scopus 로고
    • 1 = 1.544 is obtained by the fitting procedure in Fig. 4.
    • 1 = 1.544 is obtained by the fitting procedure in Fig. 4.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.