Spontaneous Symmetry Breaking & Topological Order in Superfluid Helium

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) ].
Slides: [PDF] Conference Photo [JPG]

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