title: Localization threshold of instantaneous normal modes from level-spacing statistics.
abstract: We study the statistics of the level spacing of instantaneous normal modes in a supercooled liquid. A detailed analysis allows us to determine the mobility edge separating extended and localized modes in the negative tail of the density of states. We find that at a temperature below the mode coupling temperature only a very small fraction of negative eigenmodes are localized.
authors.affiliation: Departamento de Física Teórica I, Universidad Complutense de Madrid, Madrid 28040, Spain.
authors.forename: Stefano
authors.initials: S
authors.lastname: Ciliberti
authors.forename: Tomás S
authors.initials: TS
authors.lastname: Grigera