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arXiv · 0908.0747

Change in the character of quasiparticles without gap collapse in a model of fractional quantum Hall effect

Csaba Toke·Jainendra K. Jain
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Abstract

It is commonly assumed in the studies of the fractional quantum Hall effect that the physics of a fractional quantum Hall state, in particular the character of its excitations, is invariant under a continuous deformation of the Hamiltonian during which the gap does not close. We show in this article that, at least for finite systems, as the interaction is changed from a model three body interaction to Coulomb, the ground state at filling factor $\nu=2/5$ evolves continuously from the so-called Gaffnian wave function to the composite fermion wave function, but the quasiholes alter their character in a nonperturbative manner. This is attributed to the fact that the Coulomb interaction opens a gap in the Gaffnian quasihole sector, pushing many of the states to very high energies. Interestingly, the states below the gap are found to have a one-to-one correspondence with the composite fermion theory, suggesting that the Gaffnian model contains composite fermions, and that the Gaffnian quasiholes are unstable to the formation of composite fermions when a two-body interaction term is switched on. General implications of this study are discussed.

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Csaba Toke, Jainendra K. Jain. 2009-08-06. Change in the character of quasiparticles without gap collapse in a model of fractional quantum Hall effect. https://doi.org/10.1103/physrevb.80.205301

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