Notes on steady state current through a noninteracting quantum dot

2017/04/16 by Zhou, Longwen
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.1704.04733

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

Related

• Nonequilibrium transport in a quantum dot attached to a Majorana bound state
• Alternative equation of motion approach applied to transport through a\n Quantum Dot
• Floquet non-equilibrium Green's function and Floquet quantum master equation for electronic transport: The role of electron-electron interactions and spin current with circular light
• Landauer formula for interacting systems: a consistent non-perturbative approximation
• Analytical results in coherent quantum transport for periodic quantum dot