Generalized Laughlin Wave Functions Including the Effect of Coulomb Interaction
O.J. Kwon(KongJu Ed.U), B.-H. Lee, and S.-J. Sin (Hanyang U.)
TL;DR
This paper introduces improved wave functions for the fractional quantum Hall effect that explicitly incorporate Coulomb interaction effects, enhancing the accuracy of modeling ground and excited states.
Contribution
It develops generalized Laughlin wave functions that include Coulomb interaction effects, extending the original model.
Findings
Wave functions depend explicitly on Coulomb interaction strength
Reproduce Laughlin's original results when Coulomb interaction is absent
Provide a more accurate description of quantum Hall states with interactions
Abstract
We present improved wave functions for the ground state, Laughlin quasihole and quasiparticle excitations of the fractional quantum Hall effect. These depend explicitly on the effective strength of Coulomb interaction and reproduce Laughlin's original result in the limit of no Coulomb interaction.
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