Edge of a Half-Filled Landau Level

Abstract

We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at $\nu =1/2$ using exact diagonalization technique and composite fermion trial wavefunction. We find that the electron occupation numbers near the edge obey a scaling behavior. The scaling result indicates the existence of a well-defined edge corresponding to the radius of a compact droplet of uniform filling factor 1/2. We find that the occupation number beyond this edge point is substantial, which is qualitatively different from the case of odd-denominator QH states. We relate these features to the different ways in which composite fermions occupy Landau levels for odd and even denominator states.

arXiv commentTo appear in Phys. Rev. B

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Cited by in corpus (2)

• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Two-component theory of a droplet of electrons in half-filled Landau level