论文标题
相互作用的准二流系统的非连续性扩展阶段的传输
Transport in the non-ergodic extended phase of interacting quasiperiodic systems
论文作者
论文摘要
我们研究了一维闭合量子系统的传输特性和光谱统计，该系统在不相互作用的情况下会产生单个粒子迁移率边缘，该系统在准二颗电势中相互作用。对于这样的系统，已经表明，许多身体本征状态可能具有三种不同的种类：扩展和ETH（特征态热假设假说）服从（热），局部和ETH违反（许多身体局部化）以及延伸和伦理且违反（非抗毒剂扩展）。在这里，我们从级别间距统计和电荷运输的角度研究了非连续性扩展阶段。我们计算直流电导率和低频电导率$σ（ω）$，并表明两者都与亚降低传输一致。这与在热相中的扩散传输形成鲜明对比，并在MBL相中阻塞转运。
We study the transport properties and the spectral statistics of a one-dimensional closed quantum system of interacting spinless fermions in a quasiperiodic potential which produces a single particle mobility edge in the absence of interaction. For such systems, it has been shown that the many body eigenstates can be of three different kinds: extended and ETH (eigenstate thermalization hypothesis) obeying (thermal), localized and ETH violating (many body localized) and extended and ETH violating (non-ergodic extended). Here we investigate the non-ergodic extended phase from the point of view of level spacing statistics and charge transport. We calculate the dc conductivity and the low frequency conductivity $σ(ω)$ and show that both are consistent with sub-diffusive transport. This is contrasted with diffusive transport in the thermal phase and blocked transport in the MBL phase.
