Year: 2012
Type: article
Abstract: We study the single-particle density of states of one- and two-dimensional quantum disordered systems in the strongly localized regime with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two dimensions, which produce linear gaps in the density of states in both cases. We use an exact diagonalization technique for small system sizes and a perturbation approach for larger sizes. With both methods, the inclusion of a finite hopping contribution does not change the linear character of the gap, but reduces its slope, widening the gap.
Source: Physical Review B
Authors: M. Pino, A. M. Somoza, M. Ortuño
Institution: Universidad de Murcia
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1990495942