Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
F. Yang, M. W. Wu
DOI 10.1103/PhysRevB.95.075304 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We show that all the singlet even-frequency, singlet odd-frequency, triplet even-frequency, and triplet odd-frequency pairings, together with the corresponding order parameters (gaps), can be realized in InSb (110) spin-orbit-coupled quantum well in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent. It is revealed that with the singlet even-frequency order parameter induced by the proximity effect, triplet even-frequency pairing is induced due to the broken spin-rotational symmetry by the spin-orbit coupling. Since the translational symmetry is broken by the center-of-mass momentum of Cooper pair in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent, the singlet odd-frequency pairing can be induced. With the translational and spin-rotational asymmetries, the triplet odd-frequency pairing is also realized. Then, we show that the corresponding order parameters can be obtained from the self-energy of the electron-electron Coulomb interaction with the dynamic screening. The singlet and the induced triplet even-frequency order parameters are found to exhibit the conventional s- and p-wave characters in the momentum space, respectively. Whereas for the induced odd-frequency order parameters in quantum well, the singlet and triplet ones show the p- and d-wave characters, respectively. Moreover, the p-wave character of the singlet odd-frequency order parameter exhibits anisotropy with respect to the direction of the center-of-mass momentum. While for the triplet one, we find that dx2- and dxy-wave characters can be obtained with respect to the direction of the center-of-mass momentum. We show that at proper density, the singlet even-frequency order parameter is suppressed and the induced singlet odd-frequency, triplet even-frequency, and triplet odd-frequency ones can be detected experimentally.
Similar papers
Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
similarity 0.94Yang, F. & Wu, M. W. · 2017 · arXiv:1611.04780
Source status unknown — claims are unverified
Inverse proximity effect in -wave and -wave superconductors coupled to topological insulators
similarity 0.88Henning G. Hugdal et al. · 2018 · arXiv:1808.03650
Source status unknown — claims are unverified
Odd-parity pairing correlations in a d-wave superconductor
similarity 0.87Jaechul Lee et al. · 2020 · arXiv:2011.10256
Source status unknown — claims are unverified
Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
similarity 0.87Daijiro Takagi et al.
Source status unknown — claims are unverified