Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session D09: Moiré Materials: Theory
3:00 PM–5:48 PM,
Monday, March 4, 2024
Room: L100J
Sponsoring
Unit:
DCMP
Chair: Daniel Bennett, Harvard University
Abstract: D09.00008 : Density matrices and fractional incompressible states in magic-angle twisted TMD homobilayers
4:24 PM–4:36 PM
Presenter:
Jung-Jung Su
(Dept. of Phys, National Yang Ming Chiao Tung Univ.)
Authors:
Jung-Jung Su
(Dept. of Phys, National Yang Ming Chiao Tung Univ.)
Yung-Chun Chao
(Dept. of Phys., National Yang Ming Chiao Tung Univ.)
Allan H. MacDonald
(Dept. of Physics, Univ. of Texas at Austin)
Here we examine the properties of band-projected density matrices in K-valley TMD homobilayers, comparing them with the properties of density matrices projected to the lowest Landau level. At long-wavelengths the band-projected density-matrix algebra is closely related to the quantum geometry of the band, but this relationship does not apply at short wavelength. To assess implications for the fractional quantum Hall effect we examine the relationship between density matrix properties and the two-body energy spectra that define Haldane pseudopotentials. We will discuss implications for the ongoing explorations of the full fractional quantum Hall phenomenology in TMD homobilayers.
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