arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1704.04733cond-mat.mes-hall
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非相互作用量子点稳态电流的注记

Notes on steady state current through a noninteracting quantum dot

Longwen Zhou

摘要:

矩阵格林函数的教学介绍,重点是它在离散量子系统稳态输运中的应用。本书所涉及的主题:1.延迟格林函数、谱函数和态密度2. LCR系统3. LCR系统的格林函数和光谱函数4.朗道公式和透射系数5.半无限紧束缚引线和宽带限制6.零温度下的线性电导7.稳态电流在量子点:共振和相干性8。通过紧束缚链的稳态电流:金属-绝缘体转变9.二维晶格边缘的稳态电流:拓扑量子化输运

英文摘要:

A pedagogical introduction to matrix Green's function, focusing on its application to steady state transport through discrete-level quantum systems. Topics covered in the notes: 1. Retarded Green's function, spectral function and density of states 2. LCR system 3. Green's function and spectral function of LCR systems 4. Landauer formula and transmission coefficient 5. Semi-infinite tight-binding leads and wide-band limit 6. Linear conductance at zero temperature 7. Steady state current in a quantum dot: resonance and coherence 8. Steady state current across a tight-binding chain: metal-insulator transitions 9. Steady state current along the edge of a two-dimensional lattice: topologically quantized transport

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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