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Time-Dependent Quantum Transport: Theory and Application量子输运；含时；运动方程；非平衡格林函数理论；复数吸收势；自能
Cheng Xiao, Xie Hang
2019, 39 (4):
119-136.
PDF (3686KB)
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1243
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Time-dependent quantum transport (TDQT) theory researches the electron wave evolution
in the open systems. Due to the dissipation of leads or other environmental effects, the electrons
behavior in the central region does not only depends on the instant external fields, but also on
the historical accumulations in some past period. This is a non-Markov process, which is some
complicated to be solved in mathematics.
In this paper, we introduce a new type of TDQT theory: density-matrix equation of motion
(DM-EOM) method in detail. It is based on the non-equilibrium Green’s function (NEGF)
theory. This method has clear calculation schemes and it is easy for the numerical implementation,
especially for the large systems. We also introduce some other QDTD methods and their
applications. For example, the transient current in graphene and other 2D materials, the electron
dynamics in open quantum dots with the many-body interactions.
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