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Formation of an Edge Striped Phase in Fractional Quantum Hall Systems

E. V. Tsiper·V. J. Goldman
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Abstract

We have performed an exact diagonalization study of up to N=12 interacting electrons on a disk at filling $ν={1/3}$ 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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E. V. Tsiper, V. J. Goldman. 2001-01-11. Formation of an Edge Striped Phase in Fractional Quantum Hall Systems. https://doi.org/10.1103/physrevb.64.165311

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