1972/04/27 by J T Edwards, D. J. Thouless, D J Thouless · 17 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics
paper · doi:10.1088/0022-3719/5/8/007
crossref issued 1972/04/27 · crossref published 1972/04/27 · crossref published-print 1972/04/27 · openalex publication_date 1972/04/27 · crossref published-online 2001/03/14 · crossref created 2002/07/26 · crossref deposited 2020/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/08/04
The results of numerical work on the Anderson model of disordered systems are presented. The sensitivity of the eigenvalues to the choice of periodic or antiperiodic boundary conditions is used as a criterion for localization, and the theory of this criterion is discussed. For the two dimensional square lattice this criterion gives a reasonably sharp result for the onset of localization which is not in conflict with other criteria of localization, and it is found that localization occurs far more easily than Anderson's theory suggests. For the diamond lattice the onset of localization is less sharply defined, and localization occurs less easily than for the square lattice, but more easily than in Anderson's theory.