Topological Aspect of high-$T_c$ Superconductivity, Fractional Quantum Hall Effect and Berry Phase

Details Topological Aspect of high-$T_c$ Superconductivity, Fractional Quantum Hall Effect and Berry Phase Topological Aspect of high-$T_c$ Superconductivity, Fractional Quantum Hall Effect and Berry Phase

1999-07-12

arxiv.org/abs/cond-mat/9907168v1

Int. J. Mod. Phys. B,13(1999), 3393.

Physics

Condensed Matter

Superconductivity

12 pages latex file

Scientific paper

10.1142/S021797929900309X

We have analysed here the equivalence of RVB states with $\nu=1/2$ FQH states in terms of the Berry Phase which is associated with the chiral anomaly in 3+1 dimensions. It is observed that the 3-dimensional spinons and holons are characterised by the non-Abelian Berry phase and these reduce to 1/2 fractional statistics when the motion is confined to the equatorial planes. The topological mechanism of superconductivity is analogous to the topological aspects of fractional quantum Hall effect with $\nu=1/2$.

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