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Ground state energy and quasiparticle gaps in $ν={N\over{2N\pm 1}}$ FQHE states

D. V. Khveshchenko
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Abstract

Applying the transformation of fermion operators to new fermion quasiparticles introduced by Halperin, Lee, and Read we estimate a scaling behavior of the ground state energy and quasiparticle gaps as a function of filling fraction for a "principal sequence" of FQHE $ν={N\over{2N\pm 1}}$ states converging towards the gapless state at half filling. The exponent describing the shape of the cusp $δE(ν)\sim |δν|^η$ is found to be greater than one and to depend nontrivially on the interaction potential. The dependence of quasiparticle gaps agrees with the results of recent measurements by R.R.Du et al.

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D. V. Khveshchenko. 1994-01-28. Ground state energy and quasiparticle gaps in $ν={N\over{2N\pm 1}}$ FQHE states. https://doi.org/10.1103/physrevb.49.10514

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