On an electron in an elastic medium with a spiral dislocation

二维位错场论在石墨烯中的应用

Dislocation Field Theory in 2D: Application to Graphene

介绍了一种二维位错连续体理论。本理论在经典的弹性能量密度基础上增加了弹性转动、位错密度和背景应力。该理论包含四个材料模量。根据四种材料模量定义了两种特征长度尺度。计算了刃型位错的应力和弹性变形的非奇异解。已经指出，弹性应变与最近在石墨烯中发现的刃位错的实验数据吻合得很好。

石墨烯中位错的应变场和转动场

Strain and rotation fields of dislocations in graphene

在最近的实验中，单层石墨烯中位错的应变场和旋转场已经被绘制出来。这些领域是有限的无处不在，并从不同的线性弹性，不考虑旋转明确和预测无限的旋转和应变的位错点。二维线性弹性的导数正则化修正了这些缺点。该理论将转动能、位错能和残余应变能加入到通常的弹性能中。有两个额外的材料常数决定了位错核心的大小，并从实验数据中确定。这些发现对于研究石墨烯中的位错和分析二维晶体中的初始塑性是有用的。

基于弹性位错的斯格明子陷阱：基础与应用

Elastic Dislocation-based Skyrmion Traps: Fundamentals and Applications

本文探讨畸变磁晶格中螺型位错与斯格明子的相互作用，建立拓扑磁学与拓扑弹性的联系，分析斯格明子经典及量子化运动，并举例其在低电流控制的赛道器件中的应用。

Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface

In conventional theories, topological band properties are intrinsic characteristics of the bulk material and do not depend on the choice of the reference frame. In this scenario, the principle of bulk-edge correspondence can be used to predict the existence of edge states between topologically distinct materials. In this study, we propose and carefully examine a 2D elastic phononic plate with a Kekulé-distorted honeycomb pattern engraved on it. It is found that the pseudospin and the pseudospin-dependent Chern numbers are not invariant properties, and the $\mathbb{Z}_2$ number is no longer a s…

Scattering of phonons by quantum dislocations segments in an elastic continuum

A canonical quantization procedure is applied to elastic waves interacting with pinned dislocation segments via the Peach-Koehler force. The interaction Hamiltonian, derived from an action principle that classically generates the Peach-Koehler force, is a power series of creation and annihilation operators. The leading term is quadratic, and keeping only this term the observable quantities of scattering processes are computed to all orders in perturbation theory. The resulting theory is characterized by the magnitude of $kL$, with $k$ the wavenumber of an incident phonon. The theory is solved …

测量石墨烯中位错核处的应变和旋转场

Measuring strain and rotation fields at the dislocation core in graphene

应变场、位错和缺陷可用于控制石墨烯的电子性质。通过使用高分辨率透射电子显微镜的先进成像技术，我们以单原子灵敏度测量了单层石墨烯中位错的应变场和旋转场。这些场与传统的线弹性力学给出的场有质的不同。然而，从二维（2D）离散弹性和三维离散周期化Föppl-vonKármán方程（dpFvKEs）计算的原子位置产生的场接近实验时，由几何相位分析确定。2D理论产生对称场，而来自实验的场表现出不对称性。dpFvKEs的数值解提供的应变和旋转场的位错偶极子和对，也表现出不对称性，并与实验相比，可能会产生信息的原子的面外位移。虽然离散理论需要数值求解，但位错的应变和旋转的解析公式可以从2D Mindlin的超应力理论中获得。这些公式对于拟合实验数据非常有用，并提供了一个模板，以确定非线性和非平面效应的重要性。测量这个理论的参数，我们发现两个特征长度之间的三到四倍的晶格间距，控制膨胀和旋转的位错。在离位错核较远的地方，弹性场衰减到常规弹性场。我们的研究结果可能与石墨烯和当前感兴趣的其他2D材料的应变工程有关。

弹性Landau系统中的持续自旋流

Persistent spin currents in an elastic Landau system

本文研究了弹性介质中具有永久磁偶极矩的中性粒子与径向电场的相互作用。我们证明了位错的均匀分布起着有效均匀磁场的作用，并得到了与Aharonov-Casher几何相位有关的能量谱[Y. Aharonov和A. Casher，Phys. Rev. Lett. 53，319（1984）]。此外，从能级对Aharonov-Casher几何相位的依赖关系出发，我们计算了该弹性Landau系统中的持续自旋流。

Field Dislocation Mechanics and Phase Field Crystal models

A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic distortion. Although these quantities are related in equilibrium through a macroscopic equation of state, they are independent variables in the free energy, and can be independently varied in evaluating the dissipation functional that leads to the model governing equations. The equations obtained describe dislocation motion in an elastically stressed solid, and serve…

位错存在时费米子在石墨烯中的涌现几何

Emergent geometry experienced by fermions in graphene in the presence of dislocations

在应变存在的石墨烯中，弹性理论度量自然出现。然而，这不是费米准粒子所经历的。费米子在弯曲空间中传播，其度规由拓扑保护的费米子点附近的有效哈密顿量的展开定义。我们讨论了石墨烯表面不同参数化的两种度量之间的关系。接下来，我们将考虑存在位错的情况。本文考虑了用弹性理论描述形变的情况，计算了位错所携带的扭转和出射磁场。位错除了携带出射磁场的量子化通量外，还携带奇异挠率。两者都可以在准粒子在位错上的散射中观察到。出现的磁场通量表现为Aharonov-Bohm效应，而扭转奇异性则导致Stodolsky效应.

非均匀形核和纳米线形成的弹塑性效应

Elastic and plastic effects on heterogeneous nucleation and nanowire formation

我们从理论上研究了弹性和塑性形变对异质形核和纳米线形成的影响。在第一种情况下，限制的临界核之间的两个平行的失配基板的影响进行了研究，使用缩放参数。我们目前的相图给出的驱动力和限制的程度的函数的成核制度的性质。我们补充振幅方程模拟分析研究。在第二种情况下，螺旋位错内的纳米线的形态表面稳定性的发展的影响，相关的瑞利-高原不稳定性，检查。螺钉脱位引起钢丝扭转，称为Eshelby扭转。使用有限元法和振幅方程进行数值计算，以支持分析调查。结果表明，螺位错促进了Rayleigh-Plateau不稳定性。

Homogeneous nucleation of dislocations as a pattern formation phenomenon

Dislocation nucleation in homogeneous crystals initially unfolds as a linear symmetry-breaking elastic instability. In the absence of explicit nucleation centers, such instability develops simultaneously all over the crystal and due to the dominance of long range elastic interactions it advances into the nonlinear stage as a collective phenomenon through pattern formation. In this paper we use a novel mesoscopic tensorial model (MTM) of crystal plasticity to study the delicate role of crystallographic symmetry in the development of the dislocation nucleation patterns in defect free crystals lo…

类爱因斯坦场理论与具有有限尺寸核心的位错

The Einstein-like field theory and the dislocations with finite-sized core

该研究发展类爱因斯坦拉格朗日场论，结合三维黎曼-嘉当几何描述有限核心位错，推导相关规范方程与应力特性，并分析位错偶极子增殖下弹性常数的重整化修正。