Chern-Simons Ginzburg-Landau Theory of the Fractional Quantum Hall System with Edges
The superfluidity analogy of the fractional quantum Hall effect via the Chern-Simons Ginzburg-Landau (CSGL) theory is extended to the system with edges. The advantage of this method is, in addition to its simplicity without employing any advanced ideas, that the bulk and edge properties can be discussed in a unified fashion. The electromagnetic response of the system is discussed by deriving the effective action for the external vector potential A μ . The Green’s function of the physical electron is also studied, and the results by Wen is rederived.
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