准晶的有效场论与相子动力学
Effective Field Theory for Quasicrystals and Phasons Dynamics
摘要：
我们建立了一个有效场论（EFT）的准晶-非周期性无公度晶格结构-在有限温度下，完全基于对称性参数和一个定义良好的作用原理。通过Schwinger-Keldysh技术，我们推导出完整的耗散动力学系统，我们恢复实验观察到的扩散传播交叉的相子模式。从对称性的观点来看，相子在长波长下的扩散性质是由于内部平移或相子位移是系统的对称性，没有相关的诺特电流。后者的功能是兼容的EFT描述，只是因为存在的耗散（有限温度）和缺乏周期性秩序。最后，我们评论的相似性与某些均匀的全息模型，我们正式推导出普适的声子的钉扎频率和阻尼和扩散常数的相位子之间的关系。
英文摘要：
We build an effective field theory (EFT) for quasicrystals -- aperiodic incommensurate lattice structures -- at finite temperature, entirely based on symmetry arguments and a well-define action principle. By means of Schwinger-Keldysh techniques, we derive the full dissipative dynamics of the system and we recover the experimentally observed diffusion-to-propagation crossover of the phason mode. From a symmetry point of view, the diffusive nature of the phason at long wavelengths is due to the fact that the internal translations, or phason shifts, are symmetries of the system with no associated Noether currents. The latter feature is compatible with the EFT description only because of the presence of dissipation (finite temperature) and the lack of periodic order. Finally, we comment on the similarities with certain homogeneous holographic models and we formally derive the universal relation between the pinning frequency of the phonons and the damping and diffusion constant of the phason.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
