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  • Letter
  • Open Access

Spinor pairing order enforced by Berry phase

Yi Li and Grayson R. Frazier

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Phys. Rev. Research 8, L022037 – Published 29 May, 2026

DOI: https://doi.org/10.1103/ytsp-xk3x

Abstract

We introduce a class of topological pairing orders characterized by a half-integer pair monopole charge, leading to Berry phase enforced half-integer partial wave symmetry. This exotic spinor pairing order can emerge from pairing between Fermi surfaces with Chern numbers differing by an odd integer. Using tight-binding models, we demonstrate spinor superconducting orders with monopole charges ±1/2, featuring a single gap node and nontrivial surface states. Additionally, the superfluid velocity follows a fractionalized Mermin-Ho relation in spatially inhomogeneous pairing orders. The concept extends to spinor density waves and excitons.

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Phys. Rev. Research 8, L022037– Published 29 May, 2026
  • Received 18 September 2024
  • Accepted 25 April 2026
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