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arXiv · 0711.4982

Semiclassical Droplet States in Matrix Quantum Hall Effect

Andrea Cappelli·Ivan D. Rodriguez
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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.

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Andrea Cappelli, Ivan D. Rodriguez. 2007-12-01. Semiclassical Droplet States in Matrix Quantum Hall Effect. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F046

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