vix.ing · top · new · best · stats

Disorder and Interaction in 2D: Exact Diagonalization Study of the Anderson-Hubbard-Mott Model

2000/02/29 by R. Kotlyar, S. Das Sarma · 37 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Anderson impurity model #Charge (physics) #Condensed matter physics #Diagonal #Electron #Ground state #Hubbard model #Mathematics #Mott insulator #Mott transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Superconductivity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.86.2388

published in Physical Review Letters 86(11), 2388-2391 (American Physical Society) · 13 pages, 2 figures Revised version. Accepted for publication in Phys. Rev. Lett

arxiv created 2000/12/10 · openalex publication_date 2001/03/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate, by numerically calculating the charge stiffness, the effects of random diagonal disorder and electron-electron interaction on the nature of the ground state in the 2D Hubbard model through the finite-size exact diagonalization technique. By comparing with the corresponding 1D Hubbard model results and by using heuristic arguments we conclude that it is unlikely that there is a 2D metal-insulator quantum phase transition, although the effect of interaction in some range of parameters is to substantially enhance the noninteracting charge stiffness.

Cited by