Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function

Details Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function

2006-06-23

arxiv.org/abs/cond-mat/0606610v1

Phys.Rev.Lett. 96, 246805 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.96.246805

It is demonstrated that an understanding of the 5/2 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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