Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one dimension. However, the unified understanding of non-Hermitian has yet be established. Here, we develop a scaling theory systems. We reveal that non-Hermiticity introduces new scale breaks down one-parameter scaling, which is central assumption conventional localization. Instead, identify origin unconventio...

We consider a periodic Anderson model (PAM) with a momentum-dependent interband hybridization that is strongly suppressed near the Fermi level. Under these conditions, we reduce the PAM to an effective low-energy Hamiltonian, H(eff), by expanding in the small parameter V0/t (V0 is the maximum interband hybridization amplitude and t is the hopping integral of the broadband). The resulting model ...

We prove a finite volume lower bound of the order √ logN on the delocalization of a disordered continuous spin model (resp. effective interface model) in d = 2 in a box of size N . The interaction is assumed to be massless, possibly anharmonic and dominated from above by a Gaussian. Disorder is entering via a linear source term. For this model delocalization with the same rate is proved to take...

The mathematical representation of chemical bonds in molecules is discussed. The molecule is viewed as a system of weakly interacting chemical bonds. The intrabond problems and the averaged electrostatic interbond interactions are handled at the . zeroth order, while the small interbond delocalization and dispersion effects are taken into account on the basis of the perturbation theory. A speci...

Statistics of many particle energy levels of a finite two-dimensional system of interacting electrons is numerically studied. It is shown that the statistics of these levels undergoes a Poisson to Wigner crossover as the strength of the disorder is decreased. This transition occurs at a similar strength of disorder as the one-electron delocalization crossover in a finite 2d system and develops ...