The lattices with the continious vorticity as a model for FQHE
S. V. Iordanski
Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Russia
Abstract
It was shown that the including spin of 2d electrons at high
magnetic field is possible to remove the divergencies in the cores of the
vortex lattice and construct the topologically stable states. These states
can be considered as the lattices of skyrmions where the unit cell is mapped
on the whole sphere of spin directions.That gives the gapped ground state for
electrons and can be used as a model for FQHE.