Machine Learning Topological Phases with a Solid-state Quantum Simulator

非晶固体中的拓扑缺陷

Topological Defects in Amorphous Solids

研究非晶固体中拓扑缺陷的识别与应用，探讨其在机械响应和复杂时空动力学中的基础框架。

Nature of vibrational eigenmodes in topologically disordered solids

We use a local projectional analysis method to investigate the effect of topological disorder on the vibrational dynamics in a model glass simulated by molecular dynamics. Evidence is presented that the vibrational eigenmodes in the glass are generically related to the corresponding eigenmodes of its crystalline counterpart via disorder-induced level-repelling and hybridization effects. It is argued that the effect of topological disorder in the glass on the dynamical matrix can be simulated by introducing positional disorder in a crystalline counterpart.

Topological Description of the Solidification of Undercooled Fluids and the Temperature Dependence of the Thermal Conductivity of Crystalline and Glassy Solids Above Approximately 50 K

By the adoption of a quaternion orientational order parameter to describe solidification, the topological origins of the thermal transport properties of crystalline and non-crystalline solid states are considered herein. Global orientational order, achieved by spontaneous symmetry breaking, is prevented at finite temperatures for systems that exist in restricted dimensions (Mermin-Wagner theorem). Just as complex ordered systems exist in restricted dimensions in 2D and 1D, owing to the dimensionality of the order parameter, quaternion ordered systems in 4D and 3D exist in restricted dimensions…

Topological Control on Silicates Dissolution Kinetics

Like many others, silicate solids dissolve when placed in contact with water. In a given aqueous environment, the dissolution rate depends highly on the composition and the structure of the solid, and can span several orders of magnitude. Although the kinetics of dissolution depends on the complexities of both the dissolving solid and the solvent, a clear understanding of which critical structural descriptors of the solid control its dissolution rate is lacking. Through pioneering dissolution experiments and atomistic simulations, we correlate the dissolution rates - ranging over four orders o…

二维非晶固体中剪切带的微观起源：基于拓扑缺陷的研究

Microscopic origin of shear bands in 2D amorphous solids from topological defects

本研究通过二维模拟证实，非晶固体中的剪切带源于拓扑缺陷链，该缺陷链在弹性区已存在，并受远处偶极子湮灭远程激活而形成流动带，机制类似超流体中的类孤子稀疏脉冲。

Comment on "Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory"

We discuss a field-theoretical approach to liquids, solids and glasses, published recently [Phys.Rev.E {\bf105}, 034108 (2022)], which aims to describe these materials in a common quantum formalism. We argue that such quantum formalism is not applicable to classical liquids, and the results presented, which rely heavily on the concept of phase relaxation borrowed from quantum fluids, contradict the known hydrodynamic theory of classical liquids. In particular, the authors miss the important particle-number conservation law and the density fluctuations as hydrodynamic slow variable. Instead, th…

Topological Origin of Fracture Toughening in Complex Solids: the Viewpoint of Rigidity Theory

In order to design tougher materials, it is crucial to understand the relationship between their composition and their resistance to fracture. To this end, we investigate the fracture toughness of usual sodium silicate glasses (NS) and complex calcium--silicate--hydrates (CSH), the binding phase of cement. Their atomistic structure is described in the framework of the topological constraints theory, or rigidity theory. We report an analogous rigidity transition, driven by pressure in NS and by composition in CSH. Relying both on simulated and available experimental results, we show that optima…

三维非晶固体中的刺猬拓扑缺陷

Hedgehog topological defects in 3D amorphous solids

本文提出用刺猬拓扑缺陷表征三维玻璃塑性并预测软点位置，通过模拟Kremer-Grest聚合物玻璃发现双曲几何形态的刺猬缺陷与塑性相关，为三维非晶系统的塑性拓扑表征提供了具体实现。

拓扑缺陷主导二维非晶固体中的塑性与剪切带形成

Topological defects govern plasticity and shear band formation in two-dimensional amorphous solids

本文利用二维非晶颗粒堆积的纯剪切实验，证明位移场中的拓扑缺陷是塑性载体，可预测塑性起始与整体力学响应，并揭示其局域化和协同排列驱动宏观剪切带形成，从而建立连接拓扑、短程序与力学响应的统一框架。