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26 April 2024 |
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Topological d+s wave superconductors in a multi-orbital quadratic band touching system | | GiBaik Sim
; Archana Mishra
; Moon Jip Park
; Yong Baek Kim
; Gil Young Cho
; SungBin Lee
; | | Date: |
9 Nov 2018 | | Abstract: | Realization of topological superconductors is one of the most important goals
in studies of topological phases in quantum materials. In this work, we
theoretically propose a novel way to attain topological superconductors with
non-trivial Fermi surfaces of Bogoliubov quasiparticles. Considering the
interacting Luttinger model with $j!=!3/2$ electrons, we investigate the
dominant superconducting channels for a multi-orbital quadratic band-touching
system with finite chemical potential, which breaks the particle-hole symmetry
in the normal state. Notably, while the system generally favors d-wave pairing,
the absence of the particle-hole symmetry necessarily induces parasitic s-wave
pairing. Based on the Landau theory with $SO(3)$ symmetry, we demonstrate that
two kinds of topological superconductors are energetically favored; uniaxial
nematic phase with parasitic $s$ wave pairing ($d_{(3z^2-r^2)}!+!s$) and
time-reversal-symmetry broken phase with parasitic $s$ wave pairing
($d_{(3z^2-r^2,xy)}!+!id_{x^2-y^2}!+!s$). These superconductors contain
either nodal lines or Fermi pockets of gapless Bogoliubov quasiparticles and
moreover exhibit topological winding numbers $pm2$, leading to non-trivial
surface states such as drumhead-like surface states or Fermi arcs. We discuss
applications of our theory to relevant families of materials, especially
half-heusler compound YPtBi, and suggest possible future experiments. | | Source: | arXiv, 1811.4046 | | Services: | Forum | Review | PDF | Favorites | |
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