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arxiv: cond-mat/0101151 · v1 · submitted 2001-01-11 · ❄️ cond-mat.mes-hall · cond-mat.str-el

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Formation of an Edge Striped Phase in Fractional Quantum Hall Systems

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classification ❄️ cond-mat.mes-hall cond-mat.str-el
keywords edgecoulombdensityexactformationfunctionhallinteraction
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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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