论文标题
临界点附近的多体定位
Many-body localization near the critical point
论文作者
论文摘要
我们检查了具有静止的随机性和短距离相互作用的一维量子系统中的多体定位（MBL）相变。在最近的工作之后，我们使用了强度重新归一化组（RG）方法，其中相变是由于MBL相的所谓雪崩不稳定性引起的。我们表明，可以在此RG中分析确定临界行为。在粗糙的$ \ textIt {定性} $级别上，临界固定点附近的RG流与kosterlitz-thouless（KT）流相似，如前所述，但关键行为存在重要差异。因此，我们证明了这种MBL过渡是在与KT不同的新通用类中。相关长度的差异对应于关键指数$ν\ rightarrow \ infty $，但差异比KT过渡弱。
We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach where the phase transition is due to the so-called avalanche instability of the MBL phase. We show that the critical behavior can be determined analytically within this RG. On a rough $\textit{qualitative}$ level the RG flow near the critical fixed point is similar to the Kosterlitz-Thouless (KT) flow as previously shown, but there are important differences in the critical behavior. Thus we show that this MBL transition is in a new universality class that is different from KT. The divergence of the correlation length corresponds to critical exponent $ν\rightarrow \infty$, but the divergence is weaker than for the KT transition.
