scholarly journals Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads

2017 ◽  
Vol 95 (3) ◽  
Author(s):  
Bing Dong ◽  
G. H. Ding ◽  
X. L. Lei
Keyword(s):  
Quantum Dot ◽  
Full Counting Statistics ◽  
Counting Statistics

scholarly journals Full Counting Statistics of Electrons through Interaction of the Single Quantum Dot System with the Optical Field

Nanomaterials ◽  
2019 ◽  
Vol 9 (3) ◽  
pp. 394
Author(s):  
Weici Liu ◽  
Faqiang Wang ◽  
Zhilie Tang ◽  
Ruisheng Liang
Keyword(s):  
Quantum Dot ◽  
Coherent State ◽  
Bias Voltage ◽  
Random Phase ◽  
Optical Field ◽  
Single Quantum ◽  
Optical Fields ◽  
Full Counting Statistics ◽  
Single Quantum Dot ◽  
Counting Statistics

In this paper, using the particle-number-resolved master equation, the properties of full counting statistics (FCS) are investigated for a single quantum dot (QD) system interacting with optical fields in the thermal state, Fock state, coherent state, and coherent state with random phase. In these diverse quantum states of optical fields, average tunneling currents have different step shoulder heights at a lower bias voltage with the same light intensity, and a staircase-shaped current can be induced unexpectedly in vacuum state optical field. The characteristics of the Fano factor and skewness in the coherent state differ from those in all of the other cases. For avalanche-like transport at a lower bias voltage, the mechanism is a dynamical channel blockade in a moderate electron–photon interaction regime. There is a pronounced negative differential conductance that results from tuning the phase of the coherent state optical field in a symmetric QD system.

COUNTING STATISTICS OF NONEQUILIBRIUM TUNNELING PROCESS USING FUNCTIONAL RENORMALIZATION GROUP

2010 ◽  
Vol 24 (05) ◽  
pp. 575-585 ◽  
Author(s):  
QING-QIANG XU ◽  
BEN-LING GAO ◽  
SHI-JIE XIONG
Keyword(s):  
Renormalization Group ◽  
Charge Transfer ◽  
Quantum Dot ◽  
Group Method ◽  
Renormalization Group Method ◽  
Functional Renormalization Group ◽  
Nonequilibrium Transport ◽  
Cumulant Generating Function ◽  
Full Counting Statistics ◽  
Counting Statistics

We develop a scheme to investigate the flux of nonequilibrium transport based on the full counting statistics and nonequilibrium functional renormalization group method. As an illustrative example, we study the charge transfer in the system of an interacting quantum dot connected to two noninteracting reservoirs via tunneling. Within the lowest approximation in functional renormalization group, we obtain the cumulant generating function analytically.

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