Symmetry-protected topological superfluids and superconductors -From the basics to 3He-

Takeshi Mizushima, Yasumasa Tsutsumi, Takuto Kawakami, Masatoshi Sato, Masanori Ichioka, Kazushige Machida

Research output: Contribution to journalReview articlepeer-review

111 Citations (Scopus)


In this article, we give a comprehensive review of recent progress in research on symmetry-protected topological superfluids and topological crystalline superconductors, and their physical consequences such as helical and chiral Majorana fermions. We start this review article with the minimal model that captures the essence of such topological materials. The central part of this article is devoted to the superfluid 3He, which serves as a rich repository of novel topological quantum phenomena originating from the intertwining of symmetries and topologies. In particular, it is emphasized that the quantum fluid confined to nanofabricated geometries possesses multiple superfluid phases composed of the symmetry-protected topological superfluid B-phase, the A-phase as a Weyl superfluid, the nodal planar and polar phases, and the crystalline ordered stripe phase. All these phases generate noteworthy topological phenomena, including topological phase transitions concomitant with spontaneous symmetry breaking, Majorana fermions, Weyl superfluidity, emergent supersymmetry, spontaneous edge mass and spin currents, topological Fermi arcs, and exotic quasiparticles bound to topological defects. In relation to the mass current carried by gapless edge states, we also briefly review a longstanding issue on the intrinsic angular momentum paradox in 3He-A. Moreover, we share the current status of our knowledge on the topological aspects of unconventional superconductors, such as the heavy-fermion superconductor UPt3 and superconducting doped topological insulators, in connection with the superfluid 3He.

Original languageEnglish
Article numbere022001
Journaljournal of the physical society of japan
Issue number2
Publication statusPublished - Feb 15 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Symmetry-protected topological superfluids and superconductors -From the basics to 3He-'. Together they form a unique fingerprint.

Cite this