\nTopological phase transitions\u00a0 in the 1D multichannel Dirac equation with random mass and a random matrix model<\/strong>,
\nEurophys. Lett. 116, 17004 (2016)<\/a>
\n cond-mat arXiv:1506.05322<\/a><\/li>\n<\/ul>\n
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<\/em>+1 sectors:<\/p>\n See also page \u201c products of random matrices<\/a> \u201d (within the multichannel Schr\u00f6dinger equation)<\/i><\/p>\n see also<\/strong><\/span> page on \u00a0\u00bb Wigner time delay in 1D<\/span><\/a><\/strong> \u00ab\u00a0<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":" 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: Aur\u00e9lien Grabsch and Christophe Texier, Topological phase transitions\u00a0 in the 1D multichannel Dirac equation with random … Continuer la lecture ![\"phase-diag-big\"](\"\/christophe_texier\/files\/2010\/03\/phase-diag-big-300x164.png\")
<\/a><\/p>\n
\n<\/span><\/strong><\/span><\/p>\nWigner-Smith time delay matrix and Wigner time delay for semi-infinite multichannel disordered wires<\/h3>\n
\n
\n Distribution of spectral linear statistics on random matrices beyond the large deviation function \u2014 Wigner time delay in multichannel disordered wires,
\n<\/strong>J. Phys. A : Math. Theor. 49<\/strong>, 465002 (2016)<\/a>
\ncond-mat arXiv:1602.03370<\/a><\/li>\n<\/ul>\n\n
\n<\/i>Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity<\/strong>
\nJ. Phys. A : Math. Theor. 53<\/strong>, 425003 (2020)<\/a>
\nmath-ph arXiv:2002.12077<\/a><\/li>\n<\/ul>\n