Stability and effective masses of composite-fermions in the first and second Landau Level

Details Stability and effective masses of composite-fermions in the first and second Landau Level Stability and effective masses of composite-fermions in the first and second Landau Level

1994-09-02

arxiv.org/abs/cond-mat/9409008v1

Physics

Condensed Matter

9 pages, Revtex, PSIZ-TP-9401

Scientific paper

10.1103/PhysRevLett.74.5116

We propose a measure of the stability of composite fermions (CF's) at even-denominator Landau-level filling fractions. Assuming Landau-level mixing effects are not strong, we show that the CF liquid at $\nu=2+1/2$ in the $n=1$ Landau level cannot exist and relate this to the absence of a hierarchy of incompressible states for filling fractions $2+1/3 < \nu < 2+2/3$. We find that a polarized CF liquid should exist at $\nu=2+1/4$. We also show that, for CF states, the variation with system size of the ground state energy of interacting electrons follows that for non-interacting particles in zero magnetic field. We use this to estimate the CF effective masses.

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