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Interaction dependence of composite fermion effective masses

Uwe Girlich·Meik Hellmund
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Abstract

We estimate the composite fermion effective mass for a general two particle potential r^{-α} using exact diagonalization for polarized electrons in the lowest Landau level on a sphere. Our data for the ground state energy at filling fraction ν=1/2 as well as estimates of the excitation gap at ν=1/3, 2/5 and 3/7 show that m_eff \sim α^{-1}.

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Uwe Girlich, Meik Hellmund. 1996-12-02. Interaction dependence of composite fermion effective masses. https://doi.org/10.1103/physrevb.55.15372

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