2002/02/28 by D. Belitz, T. R. Kirkpatrick
Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed matter physics #Electrical resistivity and conductivity #Electron #Ferromagnetism #Metal–insulator transition #Paramagnetism #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.66.155101
published as Phys. Rev. B 66, 155101 (2002) · 13 pp., LaTeX, 2 eps figs; final version as published
openalex publication_date 2002/10/02 · arxiv created 2003/07/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The problem of noninteracting electrons in the presence of annealed magnetic disorder, in addition to nonmagnetic quenched disorder, is considered. It is shown that the proper physical interpretation of this model is one of electrons interacting via a potential that is long ranged in time, and that its technical analysis by means of renormalization-group techniques must also be done in analogy to the interacting problem. As a result, and contrary to previous claims, the model does not simply describe a metal-insulator transition in d=2+\ensuremathε(\ensuremathε\ensuremath≪1) dimensions. Rather, it describes a transition to a ferromagnetic state that, as a function of the disorder, precedes the metal-insulator transition close to d=2. In d=3, a transition from a paramagnetic metal to a paramagnetic insulator is possible.