Topological Superfluids

Abstract

There are many topological faces of the superfluid phases of ${}^3$He. These superfluids contain various topological defects and textures. The momentum space topology of these superfluids is also nontrivial, as well as the topology in the combined ($\mathbf{p},\mathbf{r})$ phase space, giving rise to topologically protected Dirac, Weyl and Majorana fermions living in bulk, on the surface and within the topological objects. The nontrivial topology lead to different types of anomalies, which extended in many different directions the Landau-Khalatninkov theory of superfluidity.

29 pages, 20 figures, 214 references, the draft for the issue of JETP devoted to Khalatnikov-100

References in corpus (6)

• Classification of topological insulators and superconductors in three spatial dimensions
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Magneto-transport phenomena related to the chiral anomaly in Weyl semimetals
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Anisotropy and Strong-Coupling Effects on the Collective Mode Spectrum of Chiral Superconductors: Application to Sr${}_2$RuO${}_4$
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Cited by in corpus (5)

• Electron bubbles and Weyl Fermions in chiral superfluid ${}^3$He-A
• Precise Wigner-Weyl calculus for lattice models
• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
• Discrete Wigner-Weyl calculus for the finite lattice
• Higher-form anomalies and state-operator correspondence beyond conformal invariance