论文标题
带有平坦乐队的翻译不变型钻石梯子中的多体定位
Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
论文作者
论文摘要
平面带的存在是晶格系统中定位的来源。尽管平面带相对于粒子之间的相互作用通常不稳定，但在某些情况下它们可以持续。我们认为一个带有横向跳跃的钻石梯子具有如此稳定的平坦带，并表明在没有猝灭障碍的情况下出现了多体定位。我们从数值上证明了征征恒温假说是违反的。我们表明，退化平坦带状态的影响在整个能量谱上扩散，并在热力学极限中广泛增长。此外，我们通过某些局部可观察到的，复兴概率，参与率和纠缠熵的时间演变来验证本地化。
The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with transverse hopping that possesses such stable flat bands and show that many-body localization appears in the presence of interactions without quenched disorder. We numerically demonstrate that the eigenstate thermalization hypothesis is violated. We show that the influence of degenerate flat band states spreads across the full energy spectrum and grows extensively in the thermodynamic limit. Furthermore, we verify localization in terms of time evolution of some local observable, revival probability, participation ratio and entanglement entropy.
