Dynamics and Correlations among Soft Excitations in Marginally Stable Glasses. Yan, L., Baity-Jesi, M., Mueller, M., & Wyart, M. PHYSICAL REVIEW LETTERS, AMER PHYSICAL SOC, 6, 2015. abstract bibtex Marginal stability is the notion that stability is achieved, but only
barely so. This property constrains the ensemble of configurations
explored at low temperature in a variety of systems, including spin,
electron, and structural glasses. A key feature of marginal states is a
(saturated) pseudogap in the distribution of soft excitations. We
examine how such pseudogaps appear dynamically by studying the
Sherrington-Kirkpatrick (SK) spin glass. After revisiting and correcting
the multi-spin-flip criterion for local stability, we show that
stationarity along the hysteresis loop requires soft spins to be
frustrated among each other, with a correlation diverging as C(lambda)
similar to 1/lambda, where lambda is the stability of the more stable
spin. We explain how this arises spontaneously in a marginal system and
develop an analogy between the spin dynamics in the SK model and random
walks in two dimensions. We discuss analogous frustrations among soft
excitations in short range glasses and how to detect them
experimentally. We also show how these findings apply to hard sphere
packings.
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abstract = {Marginal stability is the notion that stability is achieved, but only
barely so. This property constrains the ensemble of configurations
explored at low temperature in a variety of systems, including spin,
electron, and structural glasses. A key feature of marginal states is a
(saturated) pseudogap in the distribution of soft excitations. We
examine how such pseudogaps appear dynamically by studying the
Sherrington-Kirkpatrick (SK) spin glass. After revisiting and correcting
the multi-spin-flip criterion for local stability, we show that
stationarity along the hysteresis loop requires soft spins to be
frustrated among each other, with a correlation diverging as C(lambda)
similar to 1/lambda, where lambda is the stability of the more stable
spin. We explain how this arises spontaneously in a marginal system and
develop an analogy between the spin dynamics in the SK model and random
walks in two dimensions. We discuss analogous frustrations among soft
excitations in short range glasses and how to detect them
experimentally. We also show how these findings apply to hard sphere
packings.},
bibtype = {article},
author = {Yan, Le and Baity-Jesi, Marco and Mueller, Markus and Wyart, Matthieu},
journal = {PHYSICAL REVIEW LETTERS},
number = {24}
}
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