The effect of impurities on striped phases
The effect of impurities on striped phases
复制标题
杂质对条纹相的影响
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Qi
中科院分区：
文献类型：
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作者：
Gabriela Jaramillo;A. Scheel;Qi
我们研究代数局域杂质对一个空间维度上的条纹相的影响。因此，我们开发了一个功能分析框架，允许我们将扰动问题视为常规 Fredholm 问题，尽管存在由软平移模式引起的基本谱。我们的结果确定了波数和相位跳跃的选择，具体取决于系统中杂质的位置和平均波数。我们还表明，对于选定的位置，波数的跳跃消失。
We study the effect of algebraically localized impurities on striped phases in one spatial dimension. We therefore develop a functional-analytic framework that allows us to cast the perturbation problem as a regular Fredholm problem despite the presence of the essential spectrum, caused by the soft translational mode. Our results establish the selection of jumps in wavenumber and phase, depending on the location of the impurity and the average wavenumber in the system. We also show that, for select locations, the jump in the wavenumber vanishes.