Statistics transmutations in two-dimensional systems and the fractional quantum Hall effect
P. Sitko
TL;DR
This paper investigates how particle statistics change in two-dimensional systems related to the fractional quantum Hall effect, using Hartree-Fock and RPA methods, revealing that transmutations are energetically unfavorable but the system still exhibits fractional quantum Hall behavior.
Contribution
It provides a comparative analysis of statistics transmutations using Hartree-Fock and RPA, showing the energetic unfeasibility but the persistence of fractional quantum Hall effects.
Findings
Hartree-Fock shows transmutations are not energetically favorable
RPA predicts the system exhibits fractional quantum Hall effect
Transmutations do not lower the ground-state energy
Abstract
Statistics transmutations to composite fermions in fractional-quantum-Hall-effect systems are considered in the Hartree-Fock approximation and in the RPA. The Hartree-Fock ground-state energy shows that the transmutations are not energetically preferable. Within the RPA it is found that the system exhibits a fractional quantum Hall effect.
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