Inhomogeneous fixed point ensembles revisited

• Verfasst von: Wegner, Franz [VerfasserIn]
• Titel: Inhomogeneous fixed point ensembles revisited
• Verf.angabe: Franz J. Wegner
• Jahr: 2010
• Umfang: 12 S.
• Fussnoten: Version des gesehenen Artikels: 13. November 2018 ; Gesehen am 17.10.2023
• Titel Quelle: Enthalten in: International journal of modern physics / B
• Ort Quelle: Singapore [u.a.] : World Scientific Publ., 1987
• Jahr Quelle: 2010
• Band/Heft Quelle: 24(2010), 12/13, Seite 1811-1822
• ISSN Quelle: 1793-6578
• DOI: doi:10.1142/S0217979210064617
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 186595621X

Abstract

The density of states of disordered systems in the Wigner-Dyson classes approaches some finite non-zero value at the mobility edge, whereas the density of states in systems of the chiral and Bogolubov-de Gennes classes shows a divergent or vanishing behavior in the band centre. Such types of behavior were classified as homogeneous and inhomogeneous fixed point ensembles within a real-space renormalization group approach. For the latter ensembles, the scaling law µ = dν-1 was derived for the power laws of the density of states ρ ∝ |E|µ and of the localization length ξ ∝ |E|-ν. This prediction from 1976 is checked against explicit results obtained meanwhile.