Semiclassical Droplet States in Matrix Quantum Hall Effect

Abstract

We derive semiclassical ground state solutions that correspond to the quantum Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They realize the Jain composite-fermion construction and their density is piecewise constant as that of phenomenological wave functions. These results support the matrix theory as a possible effective theory of the fractional Hall effect. A crucial role is played by the constraint limiting the degeneracy of matrix states: we find its explicit gauge invariant form and clarify its physical interpretation.

39 pages, 12 figures

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Cited by in corpus (2)

• Edge excitations of the Chern Simons matrix theory for the FQHE
• Matrix Effective Theories of the Fractional Quantum Hall effect