论文标题
手性一维费米斯系统中的声音
Sound in a system of chiral one-dimensional fermions
论文作者
论文摘要
我们考虑一个沿一个方向移动的一维费米的系统，例如量子厅系统边缘的电子。在足够长的时间尺度上，系统通过颗粒之间的弱相互作用使系统平衡，从而保护其总数，能量和动量。基于三种保护法的流体动力学描述了系统近平衡的时间演变。我们发现系统支持三种声音模式。在低温限制中，一个模式是纯粒密度的纯粹振荡，类似于普通声音。其他两种模式涉及粒子和熵密度的振荡。在存在障碍的情况下，第一种声音模式以低于动量松弛率的频率强烈抑制，而其他两种模式仍然弱降低。
We consider a system of one-dimensional fermions moving in one direction, such as electrons at the edge of a quantum Hall system. At sufficiently long time scales the system is brought to equilibrium by weak interactions between the particles, which conserve their total number, energy, and momentum. Time evolution of the system near equilibrium is described by hydrodynamics based on the three conservation laws. We find that the system supports three sound modes. In the low temperature limit one mode is a pure oscillation of particle density, analogous to the ordinary sound. The other two modes involve oscillations of both particle and entropy densities. In the presence of disorder, the first sound mode is strongly damped at frequencies below the momentum relaxation rate, whereas the other two modes remain weakly damped.
