Formation of an Edge Striped Phase in Fractional Quantum Hall Systems

Details Formation of an Edge Striped Phase in Fractional Quantum Hall Systems Formation of an Edge Striped Phase in Fractional Quantum Hall Systems

2001-01-11

arxiv.org/abs/cond-mat/0101151v1

Phys. Rev. B 64, 165311 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 Figs. included

Scientific paper

10.1103/PhysRevB.64.165311

We have performed an exact diagonalization study of up to N=12 interacting electrons on a disk at filling $\nu={1/3}$ for both Coulomb and $V_1$ short-range interaction for which Laughlin wave function is the exact solution. For Coulomb interaction and $N\geq 10$ we find persistent radial oscillations in electron density, which are not captured by the Laughlin wave function. Our results srongly suggest formation of a chiral edge striped phase in quantum Hall systems. The amplitude of the charge density oscillations decays slowly, perhaps as a square root of the distance from the edge; thus the spectrum of edge excitations is likely to be affected.

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