Work

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

Year: 2025

Type: article

Abstract: 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 only 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.134.136502

Authors: Ziwei Wang, Steven H. Simon

Institution: University of Oxford

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: Leverhulme Trust, Engineering and Physical Sciences Research Council