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

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 ${\sigma }_{xy}=\frac{e^2}{h}(2k-1)$ with $k$ is arbitrary integer. There are also topological excitations which have fractional charge and obey fractional statistics.

7 pages, no figures

References in corpus (6)

• Electronic Properties of Disordered Two-Dimensional Carbon
• Quantum critical scaling in graphene
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• The Fractional Quantum Hall States of Dirac Electrons in Graphene
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