Semiclassical Droplet States in Matrix Quantum Hall Effect

Details Semiclassical Droplet States in Matrix Quantum Hall Effect Semiclassical Droplet States in Matrix Quantum Hall Effect

2007-11-30

arxiv.org/abs/0711.4982v2

JHEP0802:046,2008

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 12 figures

Scientific paper

10.1088/1126-6708/2008/02/046

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.

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