模型量子点中的非平衡输运:Hartree-Fock近似及其改进
Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
摘要:
研究了无自旋相互作用费米子模型与无相互作用引线耦合的有限温度输运性质。采用无约束的含时Hartree-Fock(HF)近似,计算了传输几率和非线性$I$ - $V$特性,并与已有的解析结果和Hubbard-Stratonovich解耦相互作用的数值结果进行了比较.在弱相互作用机制下,HF近似再现了精确的$I$ - $V$特性的总体特征,但未能解释相互作用共振能级模型中反射电流的特定幂律等细微特性。
英文摘要:
The finite-temperature transport properties of the spinless interacting fermion model coupled to non-interacting leads are investigated. Employing the unrestricted time-dependent Hartree-Fock (HF) approximation, the transmission probability and the non-linear $I$-$V$ characteristics are calculated, and compared with available analytical results and with numerical data obtained from a Hubbard-Stratonovich decoupling of the interaction. In the weak interaction regime, the HF approximation reproduces the gross features of the exact $I$-$V$ characteristics but fails to account for subtle properties like the particular power law for the reflected current in the interacting resonant level model.
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