Transport#
Quantum transport through a finite device attached to semi-infinite leads: Landauer’s formula, in which the conductance is a transmission probability, and the quantized conductance steps of a quantum point contact. Leads attached automatically from their geometry, narrow contacts on a wide cavity, and ragged interfaces (a graphene disc between zigzag leads) completed with the lead’s own sites.
Multi-terminal devices: Landauer-Buttiker conductance matrices and the quantized resistances of a Hall bar with its edge channels; bond currents; shot noise and the Fano factor; and the recursive Green’s function for long wires. The scattering matrix from the exact modes of the leads, the scattering states and the local density of states they carry. Thermoelectric transport: the Mott formula and the Wiedemann-Franz law, and their breakdown at a resonance.
Automatic Lead Attachment: Narrow Contacts on a Wide Cavity
Completing Lead Interfaces: a Graphene Disc between Zigzag Leads
Buttiker’s Edge Channels: the Quantized Resistances of a Hall Bar
The Landauer Formula: Quantized Conductance of a Point Contact
The Recursive Green’s Function: Localization Length of Long Disordered Wires
Mode Matching: the Scattering Matrix, Lead Modes and Scattering States
Shot Noise: the Fano Factor of Ballistic, Tunnel and Diffusive Conductors
Thermoelectric Transport: the Mott Formula and the Wiedemann-Franz Law