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arXiv · 1109.0071

Chern-Simons Theory of Fractional Quantum Hall Effect in (Pseudo) Massless Dirac Electrons

Huabi Zeng
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Abstract

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be $σ_{xy}=\frac{e^2}{h}(2k-1)$ with $k$ is arbitrary integer. There are also topological excitations which have fractional charge and obey fractional statistics.

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Huabi Zeng. 2011-09-01. Chern-Simons Theory of Fractional Quantum Hall Effect in (Pseudo) Massless Dirac Electrons. https://doi.org/10.1142/s0217979211100606

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