有限代分形网格上的多体定位

IF 2.2 3区 物理与天体物理 Q2 MECHANICS
Sourav Manna, Błażej Jaworowski and Anne E B Nielsen
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引用次数: 0

摘要

我们研究了在具有不同豪斯多夫维度和不同局部晶格结构的有限生成分形晶格上存在随机无序的硬核玻色子模型中的多体定位。我们特别考虑了维克塞克、T 形、西尔平斯基垫圈和修正的科赫曲线分形晶格。在单粒子情况下,如果无序强度足够大,这些系统会在任意无序强度下显示出安德森局域化。在多体情况下,可精确对角化的系统会在脱局域和局域机制之间出现过渡,这在这些系统的光谱和纠缠特性中可见一斑。这种过渡的位置取决于给定分形的豪斯多夫维度及其局部结构。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Many-body localization on finite generation fractal lattices
We study many-body localization in a hardcore boson model in the presence of random disorder on finite generation fractal lattices with different Hausdorff dimensions and different local lattice structures. In particular, we consider the Vicsek, T-shaped, Sierpinski gasket, and modified Koch-curve fractal lattices. In the single-particle case, these systems display Anderson localization for arbitrary disorder strength if they are large enough. In the many-body case, the systems available to exact diagonalization exhibit a transition between a delocalized and localized regime, visible in the spectral and entanglement properties of these systems. The position of this transition depends on the Hausdorff dimension of the given fractal, as well as on its local structure.
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来源期刊
CiteScore
4.50
自引率
12.50%
发文量
210
审稿时长
1.0 months
期刊介绍: JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina
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