Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles

Autor:	Fagerlund, Alexander, Nardin, Alberto, Mazza, Leonardo, Ardonne, Eddy
Rok vydání:	2024
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Quantum Gases
Druh dokumentu:	Working Paper
Popis:	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. Comment: 4.5 + 2 pages. 2 figures. See also the accompanying paper: Fagerlund and Ardonne, arXiv:2412.14889 (2024)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.14879 Zobrazit plný text záznamu View this record from Arxiv