论文标题
确切的投影仪汉密尔顿，本地运动积分以及具有拓扑顺序的多体定位
Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
论文作者
论文摘要
在这项工作中，我们构建了一个具有相互作用的精确投影仪哈密顿量，这是由称为稳定器的相互通勤运算符总和给出的。该模型基于最近研究的fermions-fermions，其中实现了平坦的结构和强烈的定位。这些稳定器是实现多体定位（MBL）的局部运动积分。即使在存在局部疾病的情况下，所有能量本征也会明确获得。所有州都是MBL状态，即，该系统是一个完整的多体局部（FMBL）系统。我们表明，该系统具有拓扑顺序，并且在开放边界条件下存在稳定的无间隙边缘模式。通过数值研究，我们研究了FMBL和拓扑顺序的稳定性。
In this work, we construct an exact projector Hamiltonian with interactions, which is given by a sum of mutually commuting operators called stabilizers. The model is based on the recently studied Creutz-ladder of fermions, in which flat-band structure and strong localization are realized. These stabilizers are local integrals of motion from which many-body localization (MBL) is realized. All energy eigenstates are explicitly obtained even in the presence of local disorders. All states are MBL states, that is, this system is a full many-body localized (FMBL) system. We show that this system has a topological order and stable gapless edge modes exist under the open boundary condition. By the numerical study, we investigate stability of the FMBL and topological order.
