Kang Lan, Qian Du, Li-Sha Kang, Lu-Jing Jiang, Zhen-Yu Lin, Yan-Hui Zhang. The electron transfer properties of an open double quantum dot based on a quantum point contact [J]. Acta Physica Sinica, 2020, 69(4): 040504-1
- Acta Physica Sinica
- Vol. 69, Issue 4, 040504-1 (2020)
Fig. 1. A double quantum dot detected by a quantum point contact: (a) The electron occupies the left quantum dot increases the potential barrier of the detector and reduces the tunneling of electrons in the detector; (b) the electron occupies the right quantum dot reduces the potential barrier of the detector and increases the tunneling of electrons in the detector.
and
represent the chemical potentials in the left and right reservoirs of the detector,
is the bias voltage of the detector,
and
are the hopping amplitudes between the states
and
of the detector for electron in the left and right quantum dots, respectively.
and
represent the chemical potentials in the left and right reservoirs of the detector,
is the bias voltage of the detector,
and
are the hopping amplitudes between the states
and
of the detector for electron in the left and right quantum dots, respectively. 
Fig. 2. Distributions of the average current and the Fano factor versus t for different values of
in the dissipative environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
).
in the dissipative environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
). 
Fig. 3. Distributions of the average current and the Fano factor versus t for different values of
in the dissipative environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
).
in the dissipative environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
). Fig. 4. Distribution of the electron transfer probability versus t for different values of
and
in the dissipative environment,
: (a) The probability of
electron transfer at different values of
; (b) the probability of
electron transfer at different values of
; (c) the probability of
electron transfer at different values of
; (d) the probability of
electron transfer at different values of
); (e) the probability of
electrons transfer at different values of
; (f) the probability of
electrons transfer at different values of
.
and
in the dissipative environment,
: (a) The probability of
electron transfer at different values of
; (b) the probability of
electron transfer at different values of
; (c) the probability of
electron transfer at different values of
; (d) the probability of
electron transfer at different values of
); (e) the probability of
electrons transfer at different values of
; (f) the probability of
electrons transfer at different values of
. Fig. 5. Distributions of the average current and the Fano factor versus t for different values of
in the pure dephasing environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
).
in the pure dephasing environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
). Fig. 6. Distributions of the average current and the Fano factor versus t for different values of
in the pure dephasing environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
).
in the pure dephasing environment: (a) The average current in symmetric case (
); (b) the average current in asymmetric case (
); (c) the Fano factor in symmetric case (
); (d) the Fano factor in asymmetric case (
). Fig. 7. Distribution of the electron transfer probability versus t for different values of
and
in the pure dephasing environment,
: (a) The probability of 0 electron transfer at different values of
; (b) the probability of 0 electron transfer at different values of
; (c) the probability of 1 electron transfer at different values of
; (d) the probability of 1 electron transfer at different values of
); (e) the probability of 2 electrons transfer at different values of
; (f) the probability of 2 electrons transfer at different values of
.
and
in the pure dephasing environment,
: (a) The probability of 0 electron transfer at different values of
; (b) the probability of 0 electron transfer at different values of
; (c) the probability of 1 electron transfer at different values of
; (d) the probability of 1 electron transfer at different values of
); (e) the probability of 2 electrons transfer at different values of
; (f) the probability of 2 electrons transfer at different values of
. 
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