Stability of the compressible quantum Hall state around the half-filled Landau level

Details Stability of the compressible quantum Hall state around the half-filled Landau level Stability of the compressible quantum Hall state around the half-filled Landau level

1998-12-29

arxiv.org/abs/cond-mat/9812410v3

Phys. Rev. Lett. 82, 4292 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 Postscript figures, RevTex

Scientific paper

10.1103/PhysRevLett.82.4292

We study the compressible states in the quantum Hall system using a mean field theory on the von Neumann lattice. In the lowest Landau level, a kinetic energy is generated dynamically from Coulomb interaction. The compressibility of the state is calculated as a function of the filling factor $\nu$ and the width $d$ of the spacer between the charge carrier layer and dopants. The compressibility becomes negative below a critical value of $d$ and the state becomes unstable at $\nu=1/2$. Within a finite range around $\nu=1/2$, the stable compressible state exists above the critical value of $d$.

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