Multichannel models

The multichannel Dirac equation with a random (matricial) mass

We have considered the Dirac equation with a Gaussian white noise N*N matrical mass in:

The model presents interesting topological properties : as the ratio mass/disorder is tuned the systems exhibits a sequence of N topological phase transitions. The phase diagram (below) in the half plane (mass,disorder) presents N+1 sectors:

phase-diag-big

See also page “ products of random matrices

Wigner-Smith time delay matrix and Wigner time delay for semi-infinite multichannel disordered wires

(within the multichannel Schrödinger equation)

see also page on  » Wigner time delay in 1D « 

 

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