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首页> 外文期刊>Physical review, B >Many-body localization in the presence of long-range interactions and long-range hopping
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Many-body localization in the presence of long-range interactions and long-range hopping

机译：在远程相互作用的存在和远程跳跃存在下的许多身体定位

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摘要

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions and long-range hopping. Based on perturbative arguments there is a common belief that MBL can exist only in systems with short-range interactions and short-range hopping. We analyze effects of power-law interactions and power-law hopping, separately, on a system which has all the single-particle states localized in the absence of interactions. Since delocalization is driven by proliferation of resonances in the Fock space, we mapped this model to an effective Anderson model on a complex graph in the Fock space and calculated the probability distribution of the number of resonances up to third order. Though the most-probable value of the number of resonances diverge for the system with long-range hopping [t(r) similar to t(0)/r(alpha) with alpha < 2], there is no enhancement of the number of resonances as the range of power-law interactions increases. This indicates that the long-range hopping delocalizes the many-body localized system but in contrast to this, there is no signature of delocalization in the presence of long-range interactions. We further provide support in favor of this analysis based on dynamics of the system after a quench starting from a charge density wave ordered state, level spacing statistics, return probability, participation ratio and Shannon entropy in the Fock space. We demonstrate that MBL persists in the presence of long-range interactions though long-range hopping with 1 < alpha < 2 delocalizes the system partially, with almost all the states extended for alpha <= 1. Even in a system which has single particle mobility edges in the noninteracting limit, turning on long-range interactions does not cause delocalization.
机译：我们在无纺剂的一维系统中研究了多体定位（MBL），在远程相互作用和远程跳跃存在下具有确定性的非周期性潜力。基于扰动争论，存在常见的信念，即MBL只能存在于具有短程交互和短程跳跃的系统中。我们分析了幂律相互作用和幂律跳跃的影响，分别地在具有在没有相互作用的所有单粒子状态的系统上进行分开。由于临时化因枢轴空间中共振的激增而驱动，因此我们将该模型映射到套管空间中的复杂图中的有效安德森模型，并计算了最多第三顺序的概率分布。虽然具有使用alpha <2的远程跳跃[类似于t（0）/ R（alpha）的远程跳跃[t（r）的系统发散的最可能值，但没有增强数量随着幂律相互作用范围的共振增加。这表明远程跳跃将多体局部化系统删除，但与此相反，在存在远程相互作用的情况下没有临时化的签名。我们进一步提供支持基于系统的电荷密度波有序状态，水平间距统计，返回概率，参与率，参与率，参与比率和Shannon熵在Fock空间中的系统之后基于系统的动态来支持这种分析。我们证明MBL在存在远程跳跃的情况下存在于具有1

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  • 来源
    《Physical review, B》 |2019年第22期|共13页
  • 作者

    Nag Sabyasachi; Garg Arti;

  • 作者单位

    Saha Inst Nucl Phys Condensed Matter Phys Div 1-AF Bidhannagar Kolkata 700064 India;

    Saha Inst Nucl Phys Condensed Matter Phys Div 1-AF Bidhannagar Kolkata 700064 India;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 固体物理学;
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