Amorphous Solids: Low-Temperature Properties

By W. Phillips, A. Anderson. 1981

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The jamming transition as a paradigm to understand the loss landscape of deep neural networks (2018, background): “Jamming: Understanding the energy landscape — in particular the properties of the Hessian, referred to as vibrational properties in this context — in disordered systems of interacting particles is a long-standing and practically important problem [44].”
The physics of superconducting microwave resonators (2008, background): “It can be shown that T1 is given by [66]”
Effects of compression on the vibrational modes of marginally jammed solids. (2005, background): “…two systems whose density D(ω) of vibrational modes of angular frequency ω display scaling behaviors with the packing fraction: (i) simulations of jammed packings of particles interacting through finite-range, purely repulsive potentials, comprised of weakly compressed spheres at zero…”
The jamming scenario - an introduction and outlook (2010, background): “Thermal conductivity: In a related vein, the heat transport in glasses is decidedly different from what it is in crystals(Anderson, 1981).”
Low-energy non-linear excitations in sphere packings (2013, background): “This phenomenon is believed to govern the low-temperature properties of glasses, where the excitations governing the specific heat are not phonons but two-level systems where a group of particles can switch between two distinct configurations [2].”
Far-infrared to millimeter astrophysical dust emission. I. A model based on physical properties of a (2007, methodology): “…TLS parameters ∆0 and ∆: χ′′0 (ω) = µ2b 3kBT ∫ ∞ 0 ∫ +∞ −∞ ∫ ∞ 0 P ∆0 P(V) ×∆ 2 E2 sech2 ( E 2kBT ) ωτ 1 + (ωτ)2 d∆0 d∆ dV. (D.1) For calculating this expression, the convention of Hunklinger & Schickfus (1981) is used, which allows reduction of the triple integral to a single integration over…”