Quantum Hall states as matrix Chern-Simons theory
By A. Polychronakos. 2001
232 citations recorded by the source corpus.
We propose a finite Chern-Simons matrix model on the plane as an effective description of fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction and of the quasiparticle number is shown to arise quantum mechanically and to agree with Laughlin theory. We also point out the effective equivalence of this model, and therefore of the quantum Hall system, with the Calogero model.
View Paper: https://www.semanticscholar.org/paper/c463cb153d72452364004bf3118732c329d08a70
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Citations in the corpus
- Noncommutative field theory (2001, background): “More recently, it has been proposed that a good description of the fractional quantum Hall effect (FQHE) can be obtained using noncommutative rank 1 ChernSimons theory (Susskind, 2001; Polychronakos, 2001), and we give a brief introduction to these ideas as well.”
- Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy (2009, unknown): “description (as opposed to holographic description) [9, 10 , 11, 12, 13, 14, 15].”
- Vortices, instantons and branes (2003, background): “Prior to that, the D-term constraints (3.17) were solved in a somewhat different context by Polychronakos [20], who showed that a given solution is uniquely determined by a set of eigenvalues for Z, up to Weyl permutations.”