Abstract

This brief review recalls some chapters in theory of sliding incommensurate density waves which may have appeared after inspirations from studies of Dzyaloshinskii and collaborations with him. First we address the spin density waves which rich order parameter allows for an unusual object of a complex topological nature: a half-integer dislocation combined with a semi-vortex of the staggered magnetization. It becomes energetically preferable with respect to an ordinary dislocation due to the high Coulomb energy at low concentration of carriers. Generation of these objects should form a sequence of π-phase slips in accordance with experimental doubling of the phase-slips rate. Next, we revise the commonly employed TDGL approach which is shown to suffer from a violation of the charge conservation law resulting in nonphysical generation of particles which is particularly pronounced for electronic vortices in the course of their nucleation or motion. The suggested consistent theory exploits the chiral transformations taking into account the principle contribution of the fermionic chiral anomaly to the effective action. The derived equations clarify partitions of charges, currents, and rigidity among subsystems of condensed and normal carriers and the gluing electric field. Being non-analytical with respect to the order parameter, contrarily the conventional TDGL type, the resulting equations still allow for a numerical modeling of transient processes related to space- and spatiotemporal vorticity in DWs.

中文翻译：

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相滑、位错、半整数涡、双流体流体动力学以及电荷和自旋密度波中的手征异常

摘要

这篇简短的回顾回顾了滑动不公度密度波理论的一些章节，这些章节可能是在 Dzyaloshinskii 的研究和与他合作的启发下出现的。首先，我们解决自旋密度波，其丰富的有序参数允许具有复杂拓扑性质的不寻常物体：半整数位错与交错磁化的半涡旋相结合。由于在低载流子浓度下的高库仑能量，它相对于普通位错在能量上变得更可取。这些物体的产生应该根据相滑率的实验加倍形成一系列 π 相滑移。下一个，我们修改了常用的 TDGL 方法，该方法被证明会违反电荷守恒定律，导致粒子的非物理生成，这对于在其成核或运动过程中的电子涡流尤其明显。考虑到费米子手性异常对有效作用的主要贡献，建议的一致理论利用手性转换。导出的方程阐明了凝聚态和正常载流子子系统以及胶合电场中电荷、电流和刚度的划分。与传统的 TDGL 类型相反，对于阶参数是非解析的，所得方程仍然允许对与 DW 中的空间和时空涡度相关的瞬态过程进行数值建模。