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arXiv 1108.2679cond-mat.mes-hall
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自洽电子输运计算中多个非平衡不动点的稳定性分析

Stability analysis of multiple nonequilibrium fixed points in self-consistent electron transport calculations

Alan A. Dzhioev, D. S. Kosov

摘要:

提出了一种对自洽电子输运计算中出现的非平衡不动点进行稳定性分析的方法。非平衡不动点由单粒子密度矩阵的定常非线性动力学方程的自洽解给出。我们通过在不动点附近线性化动力学方程得到稳定性矩阵,并分析其谱的实部来评估不动点的渐近时间行为。我们推导出的Hartree-Fock和线性响应绝热含时密度泛函理论的稳定性矩阵的表达式。在非平衡Hartree-Fock近似下,对具有局域库仑相互作用的自旋简并单能级分子中的电子输运进行了多不动点稳定性分析.

英文摘要:

We present a method to perform stability analysis of nonequilibrium fixed points appearing in self-consistent electron transport calculations. The nonequilibrium fixed points are given by the self-consistent solution of stationary, nonlinear kinetic equation for single-particle density matrix. We obtain the stability matrix by linearizing the kinetic equation around the fixed points and analyze the real part of its spectrum to assess the asymptotic time behavior of the fixed points. We derive expressions for the stability matrices within Hartree-Fock and linear response adiabatic time-dependent density functional theory. The stability analysis of multiple fixed points is performed within the nonequilibrium Hartree-Fock approximation for the electron transport through a molecule with a spin-degenerate single level with local Coulomb interaction.

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