Heat Transport in Superfluid ³He in Anisotropic Aerogel

We report new theoretical results for heat transport by quasiparticle excitations in superfluid ³He infused into silica aerogel engineered with uniaxial anisotropy. For this system two distinct equal spin pairing (EPS) superfluid phases have been reported based on NMR spectroscopy [1]. Theoretical analysis predicts the first ESP state to be the chiral A phase with chiral axis aligned along the strain axis, and the lower temperature phase to be a polar-distorted chiral phase with random transverse fluctuations in the orientation of the chiral axis [2]. We report calculations of heat transport for these two chiral phases, including anomolous thermal Hall effects originating from branch conversion scattering of Bogoliubov quasiparticles by the chiral order parameter induced by potential scattering by the silica aerogel.
[1] J. Pollanen et al., Nature Physics 8, 317-320 (2012).
[2] J. A. Sauls, Phys. Rev. B, 88, 214503 (2013).