TMS Intensive-Interactive Meeting, Keio University, Yokohama, Japan, November 17-18, 2016

Authors: J. A. Sauls
Department of Physics & Astronomy, Northwestern University, Evanston, IL 60208
February 24, 2017

Abstract: The quantum liquid phases of Helium are paradigms for spontaneous symmetry breaking in condensed matter physics. I discuss the spectrum of the spectrum of Nambu-Goldstone and Higgs modes of the ground state of ³He, and comment on Nambu's Fermion-Boson mass relations [1]. The superfluid phases ³He are also examples of topologically ordered quantum matter. An experimental frontier is the detection, characterization and control of Majorana and Weyl fermions that are signatures of topological order. I discuss signatures of broken space-time symmetries, particularly time-reversal and parity (BTRP), and the connection to topological order for the ground-state of superfluid ³He. I show that the anomalous Hall effect for electron transport in ³He-A  is a signature of BTRP and implies a spectrum of Weyl Fermions in ³He-A [2].

This research was supported by NSF Grant: DMR-1508730

References:

1. J. A. Sauls and Takeshi Mizushima, On Nambu's Fermion-Boson Mass Relations accepted in Phys. Rev. B (2017) [arxiv:1611.07273].
2. Oleksii Shevtsov and J. A. Sauls, Electron Bubbles and Weyl Fermions in Chiral Superfluid ,  [ Phys. Rev. B  94,  064511 (2017) ].

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