论文标题
多体定位跃迁的单个粒子激发的通用特性
Universal properties of single particle excitations across the many-body localization transition
论文作者
论文摘要
了解从离域到多体局部（MBL）阶段的过渡的性质是一个重要的尚未解决的问题。为了探测MBL过渡的性质，我们研究了在无序相互作用的量子多体系统的高度激发多体征素化物中产生的单粒子激发的普遍特性。在一系列具有随机障碍的一维无旋转费用模型中，我们研究了单粒子局部密度的典型尺寸比例的有限尺寸缩放状态与平均值的状态密度和MBL过渡的散射速率的比例。我们的结果表明，这类无旋转费米子的MBL过渡本质上是连续的。对于系统中的各种交互范围，关键指数$ν$与之相关长度$ξ$在过渡点$ w_c $，$ w_c $，$ w_c | w_c | w_-w_c |^{ - ν{ - ν} $，满足Chayes-Chayes-Chayes-Chayes-chayes-fisher-spencer（ccfs）bounteriasity $ n $ c $ n $ n $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $我们还讨论了为什么从多体定位的常规诊断，水平间距比获得的临界指数，强烈违反了CCF，而状态的单粒子密度和散射速率与CCFS标准一致。
Understanding the nature of the transition from the delocalized to the many-body localized (MBL) phase is an important unresolved issue. To probe the nature of the MBL transition, we investigate the universal properties of single-particle excitations produced in highly excited many-body eigenstates of a disordered interacting quantum many-body system. In a class of one-dimensional spinless fermionic models with random disorder, we study the finite size scaling of the ratio of typical to average values of the single-particle local density of states and the scattering rates across the MBL transition. Our results indicate that the MBL transition in this class of one-dimensional models of spinless fermions is continuous in nature. For various ranges of interactions in the system, the critical exponent $ν$ with which the correlation length $ξ$ diverges at the transition point $W_c$, $ξ\sim |W-W_c|^{-ν}$, satisfies the Chayes-Chayes-Fisher-Spencer(CCFS) bound $ν\ge 2/d$ where $d$ is the physical dimension of the system. We also discuss why the critical exponent obtained from finite-size scaling of the conventional diagnostic of many-body localization, the level-spacing ratio, strongly violates the CCFS bound while the single-particle density of states and scattering rates are consistent with the CCFS criterion.
