The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?
P. Sitko, K. -S. Yi, J. J. Quinn
Abstract
A composite Fermion hierarchy theory is constructed in a way related to the original Haldane picture by applying the composite Fermion (CF) transformation to quasiparticles of Jain states. It is shown that the Jain theory coincides with the Haldane hierarchy theory for principal CF fillings. Within the Fermi liquid approach for few electron systems on the sphere a simple interpretation of many-quasiparticle spectra is given and provides an explanation of failure of CF hierarchy picture when applied to the hierarchical 4/11 state.
Create a lesson
Related papers
Observation of correlations beyond the single-particle picture in fermionic counting statistics
Johann Zöllner, Hendrik Mannel, Daniel Oppers et al.
Magnetic field induced modulation of heat transport in CrPS4 probed by TaIrTe4 transverse Seebeck thermometry
Krishnaraajan Sundararajan, Sergio Alvarruiz, Cédric A. Cordero-Silis et al.
Nonadiabatic dynamics under slow parametric modulation in nonlinear graphene resonators
Chris F. D. Wattjes, Haemin Lim, Pierpaolo Belardinelli et al.
Orientation-Dependent Universality of Spin-Transport Fluctuations in Two-Dimensional Altermagnets
Yihan Zhang, Zheng Qin, Donghui Xu et al.
Chern insulator optics
Jason G. Kattan, J. E. Sipe
Pseudo-relativistic fermions and topological states in zinc-blende semiconductors and their heterostructures (Habilitation thesis)
Sergey S. Krishtopenko