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A Fermi Fluid Description of the Half-Filled Landau Level

Tapash Chakraborty
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Abstract

We present a many-body approach to calculate the ground state properties of a system of electrons in a half-filled Landau level. Our starting point is a simplified version of the recently proposed trial wave function where one includes the antisymmetrization operator to the bosonic Laughlin state. Using the classical plasma analogy, we calculate the pair-correlation function, the static structure function and the ground state energy in the thermodynamic limit. These results are in good agreement with the expected behavior at $ν=\frac12$.

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Tapash Chakraborty. 1997-11-17. A Fermi Fluid Description of the Half-Filled Landau Level. https://doi.org/10.1103/physrevb.57.8812

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