Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B

Details Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B

2012-04-21

arxiv.org/abs/1204.4780v1

Physics

Condensed Matter

Superconductivity

5 pages, 2 figures

Scientific paper

We clarify the interplay of a Zeeman magnetic field and dipole interaction on surface helical Majorana fermions of superfluid 3He-B. We first reveal that the B-phase under a magnetic field in a particular direction stays topological due to a discrete symmetry, that is, in a symmetry protected topological phase. It is shown that the Ising spin character of the helical Majorana fermion is a direct consequence of the symmetry protected topological phase. Based on the quasiclassical theory, we demonstrate that the competition between the dipole interaction and the magnetic field involves the topological phase transition and simultaneously the spontaneous symmetry breaking of the discrete symmetry, which is accompanied by novel behaviors of spin susceptibilities on the surface.

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