Hilbert space structure and classical limit of the low energy sector of U(N) quantum Hall ferromagnets

Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify and construct the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites. The carrier Hilbert space of irreducible representations of U(N) is de...

Full description

Bibliographic Details
Main Author: Manuel Calixto, Alberto Mayorgas, Julio Guerrero
Format: Article
Language:English
Published: SciPost 2023-11-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.14.021