Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study

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dc.creatorMoller, Gunnar
dc.creatorSimon, Steven H.
dc.date2005-02-21
dc.date.accessioned2026-07-07T03:03:51Z
dc.date.available2026-07-07T03:03:51Z
dc.descriptionThe method of Jain and Kamilla [PRB {\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling fractions of the form nu=p/(2mp+1) with m and p positive integers. In the current paper we generalize this method to the case where the composite fermions are in an effective (mean) field with opposite sign from the actual physical field, i.e. when p is negative. We examine both the ground state energies and the low energy neutral excitation spectra of these states. Using particle-hole symmetry we can confirm the correctness of our method by comparing results for the series m=1 with p>0 (previously calculated by others) to our results for the conjugate series m=1 with p <0. Finally, we present similar results for ground state energies and low energy neutral excitations for the states with m=2 and p <0 which were not previously addressable, comparing our results to the m=1 case and the p > 0, m=2 cases.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0502514
dc.identifierhttp://arxiv.org/abs/cond-mat/0502514
dc.identifierPhys. Rev. B 72, 045344 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.045344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25908
dc.subjectMesoscale and Nanoscale Physics
dc.titleComposite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study
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