Topology of chiral superfluid: skyrmions, Weyl fermions and chiral anomaly

Abstract

Chiral anomaly observed in the chiral superfluid ${}^3$He-A is the result of the combined effect of the real space and momentum space topologies. This effect incorporates several topological charges in the extended $(\mathbf{k},\mathbf{r})$-space, which is beyond the conventional chiral anomaly in the relativistic systems.

8 pages, 3 figures, JETP Letters style, accepted for publication in JETP Letters

References in corpus (4)

• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Orbital momentum of chiral superfluids and spectral asymmetry of edge states
• Formation of Non-Abelian Monopoles Connected by Strings

Cited by in corpus (6)

• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid ${}^3$He-A
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Hydrodynamic description of Weyl fermions in condensed state of matter