The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?

Details The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations? The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?

1997-04-08

arxiv.org/abs/cond-mat/9704066v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, Revtex, 4 figures in PostScript, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevB.56.12417

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.

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