Notes on steady state current through a noninteracting quantum dot
Longwen Zhou
TL;DR
This paper provides a pedagogical overview of matrix Green's functions and their application to steady state transport in quantum dots, covering theoretical foundations and various transport phenomena.
Contribution
It offers a comprehensive, educational treatment of Green's functions applied to quantum transport, including resonance, coherence, and topological effects.
Findings
Analysis of steady state current in quantum dots
Discussion of topologically quantized transport
Insights into resonance and coherence effects
Abstract
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
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Taxonomy
TopicsAdvanced Physical and Chemical Molecular Interactions · Quantum and electron transport phenomena · Surface and Thin Film Phenomena