Topological invariant for superfluid 3He-B and quantum phase transitions

Abstract

We consider topological invariant describing the vacuum states of superfluid 3He-B, which belongs to the special class of time-reversal invariant topological insulators and superfluids. Discrete symmetries important for classification of the topologically distinct vacuum states are discussed. One of them leads to the additional subclasses of 3He-B states and is responsible for the finite density of states of Majorana fermions living at some interfaces between the bulk states. Integer valued topological invariant is expressed in terms of the Green's function, which allows us to consider systems with interaction.

6 pages, 2 figures, JETP Lett. style, version accepted in JETP Letters

References in corpus (6)

• Classification of topological insulators and superconductors in three spatial dimensions
• Resonantly-paired fermionic superfluids
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Anomalous Attenuation of Transverse Sound in 3He

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