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

B. Basu·D. Pal·P. Bandyopadhyay
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Abstract

We have analysed here the equivalence of RVB states with $ν=1/2$ 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 $ν=1/2$.

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B. Basu, D. Pal, P. Bandyopadhyay. 1999-07-12. Topological Aspect of high-$T_c$ Superconductivity, Fractional Quantum Hall Effect and Berry Phase. https://doi.org/10.1142/s021797929900309x

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