Localization threshold of Instantaneous Normal Modes from level-spacing statistics
Stefano Ciliberti, Tomas S. Grigera
TL;DR
This paper investigates the level-spacing statistics of Instantaneous Normal Modes in supercooled liquids to identify the mobility edge, revealing that below a certain temperature, only a small fraction of modes are localized.
Contribution
It introduces a detailed analysis of level-spacing statistics to determine the mobility edge in supercooled liquids, highlighting the localization behavior of modes at different temperatures.
Findings
Mobility edge separates extended and localized modes.
Below the mode coupling temperature, few negative eigenmodes are localized.
Localization of modes is temperature-dependent.
Abstract
We study the statistics of level-spacing of Instantaneous Normal Modes in a supercooled liquid. A detailed analysis allows to determine the mobility edge separating extended and localized modes in the negative tail of the density of states. We find that at temperature below the mode coupling temperature only a very small fraction of negative eigenmodes are localized.
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