Bipartite Composite Fermion States

Whether composite fermion states with “wrong” chiralities dissolve into cuts

In the possible scaling region for lattice chiral fermions advocated in Nucl. Phys. B486 (1997) 282, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion-states. However the strong coupling expansion breaks down due to no “static limit” for the low-energy limit (p ∼ 0). We further analyze relevant Green functions of th...

Orthogonality catastrophe in a composite fermion liquid

We discuss the emergence of an orthogonality catastrophe in the response of a composite fermion liquid as the filling factor ν approaches 1/2m, where m = 1, 2, 3.... A tunneling experiment is proposed in which dramatic changes in the I-V characteristic should be observable as ν is varied. Explicit I-V characteristics calculated within the so-called Modified Random Phase Approximation, are provi...

Justification for the Composite Fermion Picture

The mean field (MF) composite Fermion (CF) picture successfully predicts the low-lying bands of states of fractional quantum Hall systems. This success cannot be attributed to the originally proposed cancellation between Coulomb and Chern– Simons interactions beyond the mean field and solely depends on the short range of the repulsive Coulomb pseudopotential in the lowest Landau level (LL). The...

Composite-fermion edge states and transport through nanostructures in the fractional quantum Hall regime.

2 9 N ov 2 00 0 Phase Diagram of Bilayer Composite Fermion States

We construct a class of composite fermion states for bilayer electron systems in a strong transverse magnetic field, and determine quantitatively the phase diagram as a function of the layer separation, layer thickness, and electron density. We find, in general, that there are several transitions, and that the incompressible phases are separated by compressible ones. The paired states of compos...