Weidenmuller S-matrix approach to a quantum many-body mesoscopic system with tunneling and Andreev phenomena to plot the differential conductance, following Beenakker's random matrix theory.

• SNS Junctions scattering:
  • Black box treatment of an SNS junction via S-matrix approach
• Random matrix theory and Weidenmuller's formula:
  • Beenakker's RMT of quantum transport thorugh a chaotic cavity and derivation of S matrix via Weidenmuller's approach
• Conductance:
  • Kubo thermodynamics approach to conductance, calculated via Weidenmuller's S matrix
• Application to the poor man's Majorana:
  • Application to the differential conductance of the PMM model

Wolfram Mathematica numerical simulation of the left/right lead conductance via Weidenmuller's formula, as well as simulation of the stability of the system via simultaneous detuning of the on-site chemical potentials. Python code for toy-model simulations of the system.