2003/06/23 by Moshe Goldstein, Richard Berkovits · 1 citation
Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Electron #Hubbard model #Limit (mathematics) #Materials science #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Random matrix #Range (aeronautics) #Statistical physics #Theoretical physics #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.68.245116
published in Physical review. B, Condensed matter 68(24) (American Physical Society) · 8 pages, 5 figures
arxiv created 2003/06/23 · openalex publication_date 2003/12/23 · arxiv updated 2011/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The influence of on-site (Hubbard) electron-electron interactions on disorder-induced localization is studied in order to clarify the role of electronic spin. The motivation is based on the recent experimental indications of a ``metal-insulator'' transition in two-dimensional systems. We use both analytical and numerical techniques, addressing the limit of weak short-range interactions. The analytical calculation is based on random matrix theory (RMT). We demonstrate that, at least in the diffusive regime, delocalization can indeed be induced by electron-electron interactions and that an in-plane magnetic field has a strong influenece on this effect. It is found that although RMT gives a qualitative explanation of the numerical results, it is quantitatively incorrect. This is due to an exact cancellation of short-range and long-range correlations in RMT, which does not occur in the nonuniversal corrections to RMT. An estimate for these contributions is given.