闭合带投影密度代数必须是吉文-麦克唐纳-普拉茨曼

IF 8.1 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physical review letters Pub Date : 2025-03-31 DOI:10.1103/physrevlett.134.136502

Ziwei Wang, Steven H. Simon

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引用次数: 0

摘要

朗道能级上的带投影密度算符符合吉文-麦克唐纳-普拉茨曼（GMP）代数，在分数阶陈氏绝缘子的研究中，大量的努力都是为了在陈氏带上逼近这一代数。在这篇论文中，我们证明了在形状因子范围内，GMP代数是投影密度算子在二维和三维空间都能满足的封闭代数，突出了它在一般陈氏带研究中的中心地位。随之而来的是一系列有趣的推论。2025年由美国物理学会出版

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Closed Band-Projected Density Algebra Must Be Girvin-MacDonald-Platzman

The band-projected density operators in a Landau level obey the Girvin-MacDonald-Platzman (GMP) algebra, and a large amount of effort in the study of fractional Chern insulators has been directed toward approximating this algebra in a Chern band. In this Letter, we prove that the GMP algebra, up to form factors, is the closed algebra that projected density operators can satisfy in two and three dimensions, highlighting the central place it occupies in the study of Chern bands in general. A number of interesting corollaries follow.

Published by the American Physical Society

2025

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来源期刊

Physical review letters 物理-物理：综合

CiteScore

16.50

自引率

7.00%

发文量

2673

审稿时长

2.2 months

期刊介绍： Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks