2026-06-28T10:32:15Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/521702023-08-26T06:48:31Zcom_20.500.14352_14col_20.500.14352_15

Anderson localization in Euclidean random matrices Ciliberti, S. Grigera, T.S. Martín Mayor, Víctor Parisi, G. Verrocchio, P. 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. 2023-06-20T12:40:30Z 2023-06-20T12:40:30Z 2023-06-20T12:40:30Z 2005-04-11 journal article https://hdl.handle.net/20.500.14352/52170 1098-0121 10.1103/PhysRevB.71.153104 eng FPA2001-1813 FPA2000-0956 BFM2003-08532-C03 HPRN-CT2002-00307 MCFI-2002-01262 open access American Physical Society