A numerical finite size scaling approach to many-body localization
| dc.creator | Fleury, Genevieve | |
| dc.creator | Waintal, Xavier | |
| dc.date | 2007-09-14 | |
| dc.date.accessioned | 2026-07-07T12:46:00Z | |
| dc.date.available | 2026-07-07T12:46:00Z | |
| dc.description | We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted from the ``Thouless conductance'' $g$, i.e. the curvature of the energy with respect to an Aharonov-Bohm flux. We apply our method to polarized electrons in a two dimensional system of size $L$. We recover the well known universal $β(g)=\rm{d}\log g/\rm{d}\log L$ one parameter scaling function without interaction. Upon switching on the interaction, we find that $β(g)$ is unchanged while the system flows toward the insulating limit. We conclude that polarized electrons in two dimensions stay in an insulating state in the presence of weak to moderate electron-electron correlations. | |
| dc.description | 5 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2244 | |
| dc.identifier | http://arxiv.org/abs/0709.2244 | |
| dc.identifier | Phys. Rev. Lett. 100, 076602 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.076602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221235 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | A numerical finite size scaling approach to many-body localization | |
| dc.type | text |