论文标题
准晶体和phasons动力学的有效现场理论
Effective Field Theory for Quasicrystals and Phasons Dynamics
论文作者
论文摘要
我们在有限温度下建立了一个有效的田间理论（EFT） - 多个晶格结构 - 完全基于对称性参数和明确定义的动作原理。通过Schwinger-keldysh技术，我们得出了系统的完整耗散动力学，并恢复了Phason模式的实验观察到的扩散到散发器。从对称的角度来看，长波长在长波长下的扩散性质是由于内部翻译或phason Shingss是系统的对称性，没有相关的Noether电流。后者的特征与EFT描述兼容，仅由于存在耗散（有限温度）和缺乏周期性顺序。最后，我们评论与某些均质全息模型的相似性，并正式得出了声子的固定频率与Phason的阻尼和扩散常数之间的普遍关系。
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.
