3 papers
physics.gen-ph2015
Hierarchy of fillings for FQHE in monolayer and in bilayer graphene: Explanation of fractional quantum Hall state in bilayer graphene
Janusz Jacak, Lucjan Jacak
The commensurability condition is applied to determine the hierarchy of fractional fillings of Landau levels in monolayer and bilayer graphene. The filling rates for FQHE in graphe…
cond-mat.mes-hall2011
On auxiliary flux tubes associated to composite fermions in 2D Hall systems
J. Jacak, L. Jacak
An inaccuracy of composite fermion model is identified for Landau level fillings out of 1/p, p odd. The corrected version of hierarchy for fractional quantum Hall effect is propose…
cond-mat.mes-hall2009
Cyclotron braid group approach to Laughlin correlations
J. Jacak, I. Jozwiak, L. Jacak +1
Homotopy braid group description including cyclotron motion of charged interacting 2D particles at strong magnetic field presence is developed in order to explain, in algebraic top…