Abstract
AbstractWe are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width W in dimension 2. As a result, we show that the local densities of states are alternately positively and negatively correlated in the diffusive regime $$O(\log (L/W))$$
O
(
log
(
L
/
W
)
)
times, L being the size of the system.
Funder
National Centres of Competence in Research SwissMAP
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics