Seminar on Disorder and strong electron correlations: "Subtle problems of one-dimensional localization: Devil's staircase of statistical anomalies "
Starts 16 Oct 2008 12:00
Ends 16 Oct 2008 20:00
Central European Time
Leonardo da Vinci Building Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
It is shown that in the old and celebrated problem of one-dimensional localization on a lattice with random on-site energies the joint probability distribution (JPD) of amplitudes and phases of random eigenfunction exhibits an anomaly at any rational filling factor. The principal anomaly at half-filling is described by the transfer-matrix equation with the two-dimensional (amplitude and phase) internal space and an explicit dependence on both co-ordinates. We show that the zero mode variant of this equation is exactly solvable and find the unique solution for the JPD.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 email@example.com