RT Journal Article
T1 Anderson localization in Euclidean random matrices
A1 Ciliberti, S.
A1 Grigera, T.S.
A1 Martín Mayor, Víctor
A1 Parisi, G.
A1 Verrocchio, P.
AB We study the spectra and localization properties of Euclidean random matrices defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold in topologically disordered soff-latticed systems. We solve numerically an equation sexact on the random graphd for the probability distribution function of the diagonal elements of the resolvent matrix, with a population dynamics algorithm sPDAd. We show that the localization threshold can be estimated by studying the stability of a population of real resolvents under the PDA. An application is given in the context of the instantaneous normal modes of a liquid.
PB American Physical Society
SN 1098-0121
YR 2005
FD 2005-04-11
LK https://hdl.handle.net/20.500.14352/52170
UL https://hdl.handle.net/20.500.14352/52170
LA eng
NO © 2005 The American Physical Society. We acknowledge partial support from MCyT, Spain (Grants No. FPA2001-1813, No. FPA2000-0956, and No. BFM2003-08532-C03) and ANPCyT, Argentina. S.C. was supported by the ECHP program (Grant No. HPRN-CT2002-00307). V.M.-M. was supported by the Ramón y Cajal program, and P.V. by the European Commission (Grant No. MCFI-2002-01262). T.S.G. was supported by CONICET (Argentina).
NO MCyT, Spain
NO ANPCyT, Argentina
NO ECHP
NO Ramón y Cajal program
NO P.V. by the European Commission
NO CONICET (Argentina)
DS Docta Complutense
RD 4 may 2024