Boundary Conditions at the Mobility Edge

Autor:	Daniel Braun, M. Pascaud, Gilles Montambaux
Rok vydání:	1998
Předmět:	Physics High energy Rigidity (electromagnetism) Condensed Matter - Mesoscale and Nanoscale Physics Condensed matter physics Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Exponent FOS: Physical sciences General Physics and Astronomy Boundary value problem Multifractal system Wave function
Zdroj:	Physical Review Letters. 81:1062-1065
ISSN:	1079-7114 0031-9007
DOI:	10.1103/physrevlett.81.1062
Popis:	It is shown that the universal behavior of the spacing distribution of nearest energy levels at the metal--insulator Anderson transition is indeed dependent on the boundary conditions. The spectral rigidity $\Sigma^2(E)$ also depends on the boundary conditions but this dependence vanishes at high energy $E$. This implies that the multifractal exponent $D_2$ of the participation ratio of wave functions in the bulk is not affected by the boundary conditions. Comment: 4 pages of revtex, new figures, new abstract, the text has been changed: The large energy behavior of the number variance has been found to be independent of the boundary conditions
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d3ab6092a873bd638af22a87428dfee https://doi.org/10.1103/physrevlett.81.1062 Zobrazit plný text záznamu