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Non-abelian Berry's phase and Chern numbers in higher spin pairing condensates

Chyh-Hong Chern·Han-Dong Chen·Congjun Wu·Jiang-Ping Hu·Shou-Cheng Zhang
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Abstract

We show that the non-Abelian Berry phase emerges naturally in the s-wave and spin quintet pairing channel of spin-3/2 fermions. The topological structure of this pairing condensate is characterized by the second Chern number. This topological structure can be realized in ultra-cold atomic systems and in solid state systems with at least two Kramers doublets.

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Chyh-Hong Chern, Han-Dong Chen, Congjun Wu, Jiang-Ping Hu, Shou-Cheng Zhang. 2004-01-26. Non-abelian Berry's phase and Chern numbers in higher spin pairing condensates. https://doi.org/10.1103/physrevb.69.214512

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