Understanding the 52 Fractional Quantum Hall Effect without the Pfaffian Wave Function

Csaba Tőke and Jainendra K. Jain
Phys. Rev. Lett. 96, 246805 – Published 22 June 2006


It is demonstrated that an understanding of the 52 fractional quantum Hall effect can be achieved within the composite fermion theory without appealing to the Pfaffian wave function. The residual interaction between composite fermions plays a crucial role in establishing incompressibility at this filling factor. This approach has the advantage of being amenable to systematic perturbative improvements, and produces ground as well as excited states. It, however, does not relate to non-Abelian statistics in any obvious manner.

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  • Received 18 April 2006


©2006 American Physical Society

Authors & Affiliations

Csaba Tőke and Jainendra K. Jain

  • Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, Pennsylvania 16802, USA

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Vol. 96, Iss. 24 — 23 June 2006

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