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Abstracts

I3.3

Topology, emergent Ising order, and spontaneous symmetry breaking

in superfluid

3

He-B

Takeshi Mizushima

Department of Materials Engineering Science, Osaka University, Toyonaka,

Osaka 560-8531, Japan

Superfluid

3

He serves as a rich repository of topological quantum phenomena,

and the marriage of the prototypical topological superfluid with nanofabrication

techniques brings about a rich variety of spontaneous symmetry breaking, such

as a variety of Nambu-Goldstone modes and Higgs modes. In this talk, I review

the recent progress on understanding the nontrivial topological structure and

symmetry breaking of superfluid

3

He. This includes the emergence of Majorana

fermions, their quantum mass acquisition at the topological critical point, and

new bosonic modes bound to the surface. A key ingredient to understand these

novel phenomena is the emergence of the Ising order. I show that the emergent

Ising order spontaneously forms the domain wall by increasing a magnetic field

across the topological critical point.

O3.8

Spontaneous helical order of Cooper pairs in liquid

3

He

Wiman Joshua(1), Sauls J. A.(1)

1) Northwestern University, Department of Physics & Astronomy

Confined liquid

3

He is predicted to have superfluid phases which spontaneously

break the translational symmetry of their confining geometry. We predict a

superfluid phase with helical order that is energetically stable within narrow

cylindrical channels near Tc and at both high and low pressures. This helical

order is manifest in the supercurrent, which traces out a double-helix. Using a

strong-coupling Ginzburg-Landau (GL) theory that accurately reproduces the

bulk phase diagram, we present the phase diagram, including 5 other superfluid

phases, as a function of temperature, pressure, channel radius, and surface

conditions. We also discuss the transverse NMR signatures of this phase.

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