Impact of jamming criticality on low-temperature anomalies in structural glasses
arXiv:1811.11719 · doi:10.1073/pnas.1820360116
Abstract
We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the spherical perceptron, suggests that there exists a crossover temperature above which the specific heat scales linearly with temperature while below it a cubic scaling is displayed. This relies on two crucial features of the phase diagram: (i) The marginal stability of the free-energy landscape, which induces a gapless phase responsible for the emergence of a power-law scaling (ii) The vicinity of the classical jamming critical point, as the crossover temperature gets lowered when approaching it. This scenario arises from a direct study of the thermodynamics of the system in the quantum regime, where we show that, contrary to crystals, the Debye approximation does not hold.
arXiv comment7 pages + 38 pages SI, 5 figures
References in corpus (62)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Theory of Structural Glasses and Supercooled Liquids
- Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems
- Fractal free energy landscapes in structural glasses
- Spin-Glass Theory for Pedestrians
- Vibrational modes identify soft spots in a sheared disordered packing
- Effects of compression on the vibrational modes of marginally jammed solids
- Anharmonicity, vibrational instability and Boson peak in glasses
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- Continuum limit of the vibrational properties of amorphous solids
- Statistics and properties of low-frequency vibrational modes in structural glasses
- The glass transition of dense fluids of hard and compressible spheres
- Finite-Size Scaling at the Jamming Transition
- Marginal Stability in Structural, Spin and Electron Glasses
- Universal Spectrum of Normal Modes in Low-Temperature Glasses: an Exact Solution
- Low-frequency vibrational modes of stable glasses
- Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
- Anharmonicity and quasi-localization of the excess low-frequency vibrations in jammed solids
- Universal microstructure and mechanical stability of jammed packings
- Stability at Random Close Packing
- Jamming Criticality Revealed by Removing Localized Buckling Excitations
- Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
- Bosonic Excitations in Random Media
- Suppression of tunneling two-level systems in ultrastable glasses of indomethacin
- The simplest model of jamming
- Growing timescales and lengthscales characterizing vibrations of amorphous solids
- Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems
- Breakdown of Elasticity in Amorphous Solids
- The distribution of forces affects vibrational properties in hard sphere glasses
- The Intrinsic Quantum Excitations of Low Temperature Glasses
- Two-Level Systems and Boson Peak Remain Stable in 110-Million-Year-Old Amber Glass
- The Quantum Spherical p-Spin-Glass Model
- Experimental evidences of the Gardner phase in a granular glass
- Exploring the complex free energy landscape of the simplest glass by rheology
- Absence of Marginal Stability in a Structural Glass
- Universality of jamming of non-spherical particles
- Effect of instantaneous and continuous quenches on the density of vibrational modes in model glasses
- Nonlinear modes disentangle glassy and Goldstone modes in structural glasses
- Probing the non-Debye low frequency excitations in glasses through random pinning
- The "Tunneling Two-Level Systems" Model of the Low-Temperature Properties of Glasses: Are "Smoking-Gun" Tests Possible?
- Johari-Goldstein relaxation far below Tg: Experimental evidence for the Gardner transition in structural glasses?
- Soft Modes, Localization and Two-Level Systems in Spin Glasses
- Proper Dirac Quantization of Free Particle on D-Dimensional Sphere
- Out-of-equilibrium dynamical mean-field equations for the perceptron model
- Nontrivial critical fixed point for replica-symmetry-breaking transitions
- The Gardner transition in physical dimensions
- Universality of the Plastic Instability in Strained Amorphous Solids
- Spin-glass--like aging in colloidal and granular glasses
- Glassy, Gardner-like Phenomenology in Minimally Polydisperse Crystalline Systems
- Marginally stable phases in mean-field structural glasses
- The Gardner transition in finite dimensions
- Low-temperature anomalies of a vapor deposited glass
- Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
- The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential
- Collective excitations and marginal stability of quantum Ising spin glasses
- Hessian spectrum at the global minimum of high-dimensional random landscapes
- Finitely coordinated models for low-temperature phases of amorphous systems
- Classical and quantum dynamics of a particle constrained on a circle
- Instabilities of jammed packings of frictionless spheres under compression
- Specific heat of the quantum Bragg Glass
- Low Temperature Specific Heat of some Quantum Mean Field glassy phases
- Specific Heat of Quantum Elastic Systems Pinned by Disorder
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- Depletion of two-level systems in ultrastable computer-generated glasses
- Vibrational density of states and specific heat in glasses from random matrix theory
- Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron
- Hard-Sphere Jamming through the Lens of Linear Optimization
- Zero-gravity thermal convection in granular gases
- Two-level systems and harmonic excitations in a mean-field anharmonic quantum glass
- Structural relaxation in quantum supercooled liquids: A mode-coupling approach
- Frequency-dependent specific heat in quantum supercooled liquids: A mode-coupling study