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

TL;DR

This paper explores the emergence of non-Abelian Berry phases and topological invariants like the second Chern number in higher spin pairing condensates of spin-3/2 fermions, with potential realizations in cold atoms and solid state systems.

Contribution

It demonstrates the natural emergence of non-Abelian Berry phases in higher spin pairing channels and characterizes their topological structure using the second Chern number.

Findings

Non-Abelian Berry phase appears in spin-3/2 fermion pairing.

Topological structure characterized by second Chern number.

Potential realization in cold atomic and solid state systems.

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.