The formulation of a fundamental description of amorphous solids is a standing challenge in condensed matter physics. We construct a quantum mechanical model of isotropic amorphous solids as fuzzy crystals and establish an analytical theory of vibrations for glasses at low temperature. Our theoretical framework relies on the basic principle that the disorder in a glass is similar to the disorder in a classical fluid, while the latter is mathematically encoded by noncommutative coordinates in the Lagrange description of fluid mechanics. We find that the density of states in the acoustic branches flattens significantly, leading naturally to a boson peak in the specific heat as a manifestation of a van Hove singularity. The model is valid in t...
It is well known that various amorphous solids have many universal properties. One of them is the te...
A common feature of glasses is the “boson peak”, observed as an excess in the heat capacity over the...
For most amorphous materials at temperatures below ~ 1 K, the magnitudes and temperature dependences...
The Debye model predicts a T3 dependence of the specific heat Cp at sufficiently low tem- peratures ...
We measured the density of vibrational states (DOS) and the specific heat of various glassy and crys...
Low-temperature properties of crystalline solids can be understood using harmonic perturbations arou...
It is widely accepted that structural glasses and disordered crystals exhibit anomalies in their the...
Despite the presence of topological disorder, phonons seem to exist also in glasses at very high fre...
We investigate the vibrational properties of topologically disordered materials by analytically stud...
We have concurrently measured the specific heat, the thermal conductivity, and the longitudinal and ...
Low-frequency features of the phonon spectra of disordered solid solutions and heterogeneous crystal...
The mechanical response of solids depends on temperature, because the way atoms and molecules respon...
Funder: L'Oréal UNESCO For Women in Science FellowshipAbstract: The nature of defects in amorphous m...
In this thesis, we investigate the relationships between the disorder, structure, and deformation in...
Low-temperature heat capacity is systematically investigated in various glassy and crystalline pol...
It is well known that various amorphous solids have many universal properties. One of them is the te...
A common feature of glasses is the “boson peak”, observed as an excess in the heat capacity over the...
For most amorphous materials at temperatures below ~ 1 K, the magnitudes and temperature dependences...
The Debye model predicts a T3 dependence of the specific heat Cp at sufficiently low tem- peratures ...
We measured the density of vibrational states (DOS) and the specific heat of various glassy and crys...
Low-temperature properties of crystalline solids can be understood using harmonic perturbations arou...
It is widely accepted that structural glasses and disordered crystals exhibit anomalies in their the...
Despite the presence of topological disorder, phonons seem to exist also in glasses at very high fre...
We investigate the vibrational properties of topologically disordered materials by analytically stud...
We have concurrently measured the specific heat, the thermal conductivity, and the longitudinal and ...
Low-frequency features of the phonon spectra of disordered solid solutions and heterogeneous crystal...
The mechanical response of solids depends on temperature, because the way atoms and molecules respon...
Funder: L'Oréal UNESCO For Women in Science FellowshipAbstract: The nature of defects in amorphous m...
In this thesis, we investigate the relationships between the disorder, structure, and deformation in...
Low-temperature heat capacity is systematically investigated in various glassy and crystalline pol...
It is well known that various amorphous solids have many universal properties. One of them is the te...
A common feature of glasses is the “boson peak”, observed as an excess in the heat capacity over the...
For most amorphous materials at temperatures below ~ 1 K, the magnitudes and temperature dependences...