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

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

2009-09-16

arxiv.org/abs/0909.3084v5

JETP Lett.90:587-591,2009

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1134/S0021364009200089

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.

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