Skyrmion in the N=0 Landau level of graphene

Skyrmions are present in multi-component quantum Hall systems where the splittings of Landau sub-levels are small compared to the Coulomb energy. Using a minimal field theory obtained by the variational approach, we study various types of charge-1 skyrmions at the vicinity of both quarter filling and half filling of the N=0 Landau level of graphene. We find novel texture states in the spin-pseudospin-entanglement channel, as well as the transitions between different phases of skyrmions.[1][2] Our studies provide references for STM/STS imaging of the textured quantum Hall states in graphene, and suggest a refined picture for charge transport in the multi-component quantum Hall systems. We also studied the charge-1 skyrmions at half-filling of the N=0 Landau level in graphene monolayer.

[1] Y. Lian, et.al. , PRL.117,056806(2016)
[2] Y. Lian, et.al. , PRB.95,245428(2017)