Exact Symmetries of Electron Interactions in the Lowest Landau Level

2002/05/21 by M. Eliashvili, Eliashvili, M., Z. F. Ezawa +3
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/0205447

Revtex4, 8 pages

arxiv created 2002/05/21 · openalex publication_date 2002/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Considering the system of interacting electrons in the lowest Landau level we show that the corresponding four-fermion Hamiltonian is invariant with respect to the local area-preserving transformations. Testing a certain class of interaction potentials, we find that this symmetry is universal with respect to a concrete type of potentials.

Related

• Minimal Interaction in the Local Landau Theory and Construction of the Phenomenological Ginzburg-Landau Potential in Terms of Electron-Phonon Interaction
• Exact results for the spectra of interacting bosons and fermions on the lowest Landau level
• Localization, Coulomb interaction, topological principles and the quantum Hall effect
• Interacting like charges in Landau levels: Planar geometry, symmetries, and effective quasiparticles
• Composite fermions in the half-filled lowest Landau level: a macroscopic justification