TY - JOUR
T1 - Non-Abelian half-quantum vortices in 3P2 topological superfluids
AU - Masaki, Yusuke
AU - Mizushima, Takeshi
AU - Nitta, Muneto
N1 - Funding Information:
Acknowledgments. Y.M. thanks Robert Regan for useful comments. Numerical calculations in this study were done using the facilities of the Supercomputer Center, the Institute for Solid State Physics, the University of Tokyo. This work was supported by a Grant-in-Aid for Scientific Research on Innovative Areas “Quantum Liquid Crystals” (Grants No. JP20H05163 and No. JP22H04480) from JSPS of Japan and JSPS KAKENHI (Grants No. JP18H01217, No. JP19K14662, No. JP20K03860, No. JP20H01857, No. JP21H01039, and No. JP22H01221).
Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - 3P2 superfluids realized in neutron stars are the largest topological quantum matters in our universe. We establish the existence and stability of non-Abelian half-quantum vortices (HQVs) in 3P2 superfluids with strong magnetic fields. Using a self-consistent microscopic approach, we find that a singly quantized vortex is energetically destabilized into a pair of two non-Abelian HQVs owing to the strongly spin-orbit-coupled pairing. We find a topologically protected Majorana fermion on each HQV, thereby providing twofold non-Abelian anyons characterized by both Majorana fermions and a non-Abelian first homotopy group.
AB - 3P2 superfluids realized in neutron stars are the largest topological quantum matters in our universe. We establish the existence and stability of non-Abelian half-quantum vortices (HQVs) in 3P2 superfluids with strong magnetic fields. Using a self-consistent microscopic approach, we find that a singly quantized vortex is energetically destabilized into a pair of two non-Abelian HQVs owing to the strongly spin-orbit-coupled pairing. We find a topologically protected Majorana fermion on each HQV, thereby providing twofold non-Abelian anyons characterized by both Majorana fermions and a non-Abelian first homotopy group.
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U2 - 10.1103/PhysRevB.105.L220503
DO - 10.1103/PhysRevB.105.L220503
M3 - Article
AN - SCOPUS:85133532732
SN - 2469-9950
VL - 105
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 22
M1 - L220503
ER -