- Particles in non-Abelian gauge potentials: Landau problem and insertion of non-Abelian flux
- New Journal of Physics
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
In this paper, we study charged spin-1/2 particles in two dimensions, subjected
to a perpendicular non-Abelian magnetic field. Specializing to a choice of vector potential that is
spatially constant but non-Abelian, we investigate the Landau level spectrum in planar and spherical
geometry, paying particular attention to the role of the total angular momentum J⃗ = L⃗ + S⃗. Then,
we show that the adiabatic insertion of non-Abelian flux in a spin-polarized quantum Hall state
leads to the formation of charged spin textures, which in the simplest cases can be identified with
quantum Hall Skyrmions.
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