The Effect of Impurities on Striped Phases

Autor: Jaramillo, Gabriela, Scheel, Arnd, Wu, Qiliang
Rok vydání: 2016
Předmět:
Zdroj: Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149 (2019) 131-168
Druh dokumentu: Working Paper
DOI: 10.1017/S0308210518000197
Popis: We study the effect of algebraically localized impurities on striped phases in one space-dimension. We therefore develop a functional-analytic framework which allows us to cast the perturbation problem as a regular Fredholm problem despite the presence of 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.
Databáze: arXiv