Composite fermion nonlinear sigma models
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DOI: 10.1103/physrevb.104.125119
Abstract: We study the integer quantum Hall plateau transition using composite fermion mean-field theory. We show that the topological $\theta = \pi$ term in the associated nonlinear sigma model [P. Kumar et al., Phys. Rev. B… read more here.
Keywords: hole symmetry; composite fermion; particle hole; nonlinear sigma ... See more keywords
Numerical demonstration of Abelian fractional statistics of composite fermion excitations in the spherical geometry
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DOI: 10.1103/physrevb.110.045148
Abstract: Fractional quantum Hall (FQH) fluids host quasiparticle excitations that carry a fraction of the electronic charge. Moreover, in contrast to bosons and fermions that carry exchange statistics of $0$ and $\pi$ respectively, these quasiparticles of… read more here.
Keywords: composite fermion; spherical geometry; abelian fractional; geometry ... See more keywords
Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
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DOI: 10.1103/physrevb.110.165402
Abstract: Recent quantum Hall experiments have observed `daughter states' next to several plateaus at half-integer filling factors in various platforms. These states were first proposed based on model wavefunctions for the Moore-Read state by Levin and… read more here.
Keywords: plateaus; composite fermion; fermions strong; even denominator ... See more keywords