It is now well established that structural glasses possess disorder- and frustration-induced soft quasilocalized excitations, which play key roles in various glassy phenomena. Recent work has model glass formers three dimensions, these nonphononic excitations may assume the form of quasilocalized, harmonic vibrational modes whose frequency follows a universal density states $D(\ensuremath{\omega})\ensuremath{\sim}{\ensuremath{\omega}}^{4}$, independently microscopic details, for broad range...

We show how to accurately study 2D quantum critical phenomena using infinite projected entangled-pair states (iPEPS). identify the presence of a finite correlation length in optimal iPEPS approximation Lorentz-invariant which we use perform correlation-length scaling (FCLS) analysis determine exponents. This is analogous one-dimensional (1D) entanglement with matrix product states. provide arguments why this approach also valid by identifying class that despite obeying area law seems hard...

It has been recently established that the low-frequency spectrum of simple computer glass models is populated by soft, quasilocalized nonphononic vibrational modes whose frequencies $\ensuremath{\omega}$ follow a gapless, universal distribution $\mathcal{D}(\ensuremath{\omega})\ensuremath{\sim}{\ensuremath{\omega}}^{4}$. While this shown to be robust varying history and spatial dimension, it so far only observed in glasses featuring radially symmetric, pairwise interaction potentials....

We present a model and protocol that enable the generation of extremely stable computer glasses at minimal computational cost. The consists an instantaneous quench in augmented potential energy landscape, with particle radii as additional degrees freedom. demonstrate how our glasses' mechanical stability, which is readily tunable approach, reflected both microscopic macroscopic observables. Our observations indicate stability least comparable to generated by celebrated Swap Monte Carlo...

Plastic deformation in amorphous solids is known to be carried by stress-induced localized rearrangements of a few tens particles, accompanied the conversion elastic energy heat. Despite their central role determining how glasses yield and break, search for simple generally applicable definition precursors those plastic rearrangements---the so-called shear transformation zones (STZs)---is still ongoing. Here we present STZs---based solely on harmonic approximation glass's energy. We explain...

Structural glasses formed by quenching a melt possess population of soft quasilocalized excitations-often called "soft spots"-that are believed to play key role in various thermodynamic, transport, and mechanical phenomena. Under narrow set circumstances, excitations assume the form vibrational (normal) modes, that readily obtained harmonic analysis multidimensional potential energy. In general, however, direct access modes via is hindered hybridizations with other low-energy excitations,...

The attenuation of long-wavelength phonons (waves) by glassy disorder plays a central role in various glass anomalies, yet it is neither fully characterized nor understood. Of particular importance the scaling rate Γ(k) with small wavenumbers k → 0 thermodynamic limit macroscopic glasses. Here, we use combination theory and extensive computer simulations to show that low-frequency behavior emerges at intermediate frequencies finite-size glasses, above recently identified crossover wavenumber...

The dramatic slowing down of relaxation dynamics liquids approaching the glass transition remains a highly debated problem, where crux puzzle resides in elusive increase activation barrier ΔE(T) with decreasing temperature T. A class theoretical frameworks—known as elastic models—attribute this dependence to variations liquid’s macroscopic elasticity, quantified by high-frequency shear modulus G∞(T). While models find some support number experimental studies, these do not take into account...

Soft, quasilocalized excitations (QLEs) are known to generically emerge in a broad class of disordered solids and govern many facets the physics glasses, from wave attenuation plastic instabilities. In view this key role QLEs, shedding light upon several open questions glass depends on availability computational tools that allow one study QLEs' statistical mechanics. The latter is formidable task since harmonic analyses typically contaminated by hybridizations QLEs with phononic at low...

The disorder-induced attenuation of elastic waves is central to the universal low-temperature properties glasses. Recent literature offers conflicting views on both scaling wave rate $\Gamma(\omega)$ in low-frequency limit ($\omega\!\to\!0$), and its dependence glass history properties. A theoretical framework -- termed Fluctuating Elasticity Theory (FET) predicts Rayleigh scattering $d$ spatial dimensions, $\Gamma(\omega)\!\sim\!\gamma\,\omega^{d+1}$, where $\gamma\!=\!\gamma(V_{\rm c})$...

Mechanical disorder in solids, which is generated by a broad range of physical processes and controls various material properties, appears wide variety forms. Defining unified measurable dimensionless quantifiers, allowing quantitative comparison mechanical across widely different systems, therefore an important goal. Two such coarse-grained quantifiers (among others) appear the literature, one related to spectral broadening discrete phononic bands finite-size systems (accessible through...

The dramatic slowing down of relaxation dynamics liquids approaching the glass transition remains a highly debated problem, where crux puzzle resides in elusive increase activation barrier $ΔE(T)$ with decreasing temperature $T$. A class theoretical frameworks -- known as elastic models attribute this dependence to variations liquid's macroscopic elasticity, quantified by high-frequency shear modulus $G_\infty(T)$. While find some support number experimental studies, these do not take into...

Soft, quasilocalized excitations (QLEs) are known to generically emerge in a broad class of disordered solids, and govern many facets the physics glasses, from wave attenuation plastic instabilities. In view this key role QLEs, shedding light upon several open questions glass depends on availability computational tools that allow study QLEs' statistical mechanics. The latter is formidable task since harmonic analyses typically contaminated by hybridizations QLEs with phononic at low...

In this brief note we comment on the recent results presented in arXiv:1812.08736v1