Chern 能带中涌现的低能多体希尔伯特空间
Emergent low-energy many-body Hilbert spaces in Chern bands
浏览论文内容
中文总结 AI 辅助
本研究证明 Chern 能带中由两体相互作用选择的多体子空间依赖于粒子密度，并利用共形希尔伯特空间层级计算多体量子度量，揭示低能物理由任意子自由度描述，且强相互作用下能带混合被抑制。
中文摘要 AI 辅助
我们证明，在朗道能级和更一般的 Chern 能带中，仅由现实两体相互作用（例如，在能带宽度和能带间隙趋于零的极限下）选择的最相关多体子空间强烈依赖于粒子密度，并且可以系统地构造。利用具有最高密度真空态的共形希尔伯特空间（CHS）的明确定义的层级结构，我们计算了费米子和玻色子系统的多体量子度量，该度量量化了这些子空间的相互作用能标。对于一大类短程、基于库仑的相互作用，粒子优先占据最小可容纳 CHS 中的多体态。这使我们能够用适当的任意子自由度来描述相互作用系统的低能物理。我们的结果还解释了为什么在任何 Chern 能带（在晶格或连续系统中），即使在强相互作用极限下，能带混合也趋于被抑制；当能带偏离理想迹条件越小且两体相互作用越短程时，这种抑制越强。
英文摘要
We show that in Landau levels and more generic Chern bands, the most relevant many-body subspace selected by realistic two-body interactions alone (e.g., in the limit of vanishing bandwidth and band gap) depends strongly on the particle density and can be constructed systematically. Using the well-defined hierarchical structure of conformal Hilbert spaces (CHS), each with a highest-density vacuum state, we compute, for both fermionic and bosonic systems, the many-body quantum metric that quantifies the interaction energy scales of these subspaces. For a large family of short-range, Coulomb-based interactions, particles preferentially occupy the many-body states in the smallest accommodating CHS. This allows us to describe the low-energy physics of the interacting system in terms of the appropriate anyonic degrees of freedom. Our results also explain why, in any Chern band (in lattice or continuum systems), band mixing tends to be suppressed even in the limit of strong interaction; this suppression is stronger when the band deviates less from the ideal trace condition and when the two-body interaction is shorter-ranged.
发表机构
- Chongqing University（重庆大学）
- Nanyang Technological University（南洋理工大学）
机构由 AI 辅助整理，请以论文原文为准。
