2024/12/19 by Alexander Fagerlund, Fagerlund, Alexander, Alberto Nardin +5
Physics and Astronomy · #Quantum and electron transport phenomena #Physics of Superconductivity and Magnetism #Magnetic properties of thin films
paper · pdf · doi:10.48550/arxiv.2412.14879
We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value inherited from the fractional spin of the bulk quasiparticle. We present a geometric picture that does not rely on global symmetries of the wavefunction but is able to treat quasiparticles and edges with different shapes. We study finite-size many-body wavefunctions on the cylinder with circular quasiparticles and straight edges. Our results are supported by matrix-product-state calculations for the Laughlin and the k=3 Read-Rezayi states.