Symmetry-Enforced Line Nodes in Unconventional Superconductors [Nodal-Line Superconductors and Band-Sticking]
Abstract
We classify line nodes in superconductors with strong spin-orbit interactions and time-reversal symmetry, where the latter may include nonprimitive translations in the magnetic Brillouin zone to account for coexistence with antiferromagnetic order. We find four possible combinations of irreducible representations of the order parameter on high-symmetry planes, two of which allow for line nodes in pseudospin-triplet pairs and two that exclude conventional fully gapped pseudospin-singlet pairs. We show that the former can only be realized in the presence of band-sticking degeneracies, and we verify their topological stability using arguments based on Clifford algebra extensions. Lastly, our classification exhausts all possible symmetry protected line nodes in the presence of spin-orbit coupling and a (generalized) time-reversal symmetry. Implications for existing nonsymmorphic and antiferromagnetic superconductors are discussed.
- Authors:
-
- Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1374185
- Alternate Identifier(s):
- OSTI ID: 1357855
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 118; Journal Issue: 20; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Micklitz, T., and Norman, M. R. Symmetry-Enforced Line Nodes in Unconventional Superconductors [Nodal-Line Superconductors and Band-Sticking]. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.118.207001.
Micklitz, T., & Norman, M. R. Symmetry-Enforced Line Nodes in Unconventional Superconductors [Nodal-Line Superconductors and Band-Sticking]. United States. https://doi.org/10.1103/PhysRevLett.118.207001
Micklitz, T., and Norman, M. R. Thu .
"Symmetry-Enforced Line Nodes in Unconventional Superconductors [Nodal-Line Superconductors and Band-Sticking]". United States. https://doi.org/10.1103/PhysRevLett.118.207001. https://www.osti.gov/servlets/purl/1374185.
@article{osti_1374185,
title = {Symmetry-Enforced Line Nodes in Unconventional Superconductors [Nodal-Line Superconductors and Band-Sticking]},
author = {Micklitz, T. and Norman, M. R.},
abstractNote = {We classify line nodes in superconductors with strong spin-orbit interactions and time-reversal symmetry, where the latter may include nonprimitive translations in the magnetic Brillouin zone to account for coexistence with antiferromagnetic order. We find four possible combinations of irreducible representations of the order parameter on high-symmetry planes, two of which allow for line nodes in pseudospin-triplet pairs and two that exclude conventional fully gapped pseudospin-singlet pairs. We show that the former can only be realized in the presence of band-sticking degeneracies, and we verify their topological stability using arguments based on Clifford algebra extensions. Lastly, our classification exhausts all possible symmetry protected line nodes in the presence of spin-orbit coupling and a (generalized) time-reversal symmetry. Implications for existing nonsymmorphic and antiferromagnetic superconductors are discussed.},
doi = {10.1103/PhysRevLett.118.207001},
journal = {Physical Review Letters},
number = 20,
volume = 118,
place = {United States},
year = {Thu May 18 00:00:00 EDT 2017},
month = {Thu May 18 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Nonsymmorphic Weyl superconductivity in based on representation
journal, November 2016
- Yanase, Youichi
- Physical Review B, Vol. 94, Issue 17
Magnetic order and fluctuations in superconducting
journal, February 1988
- Aeppli, G.; Bucher, E.; Broholm, C.
- Physical Review Letters, Vol. 60, Issue 7
Nodal lines and nodal loops in nonsymmorphic odd-parity superconductors
journal, January 2017
- Micklitz, T.; Norman, M. R.
- Physical Review B, Vol. 95, Issue 2
Long Range Antiferromagnetic Ordering Observed Below 20 mK in the Heavy Fermion Superconductor UPt 3
journal, April 1998
- Koike, Yoshihiro; Metoki, Naoto; Kimura, Noriaki
- Journal of the Physical Society of Japan, Vol. 67, Issue 4
Symmetry-Protected Line Nodes in Non-symmorphic Magnetic Space Groups: Applications to UCoGe and UPd 2 Al 3
journal, February 2017
- Nomoto, Takuya; Ikeda, Hiroaki
- Journal of the Physical Society of Japan, Vol. 86, Issue 2
Symmetry properties of triplet superconductors
journal, September 1985
- Blount, E. I.
- Physical Review B, Vol. 32, Issue 5
Odd parity and line nodes in heavy-fermion superconductors
journal, December 1995
- Norman, M. R.
- Physical Review B, Vol. 52, Issue 21
Effect of Time-Reversal Symmetry on Energy Bands of Crystals
journal, August 1937
- Herring, Conyers
- Physical Review, Vol. 52, Issue 4
Kronecker Products and Symmetrized Squares of Irreducible Representations of Space Groups
journal, May 1970
- Bradley, C. J.; Davies, B. L.
- Journal of Mathematical Physics, Vol. 11, Issue 5
Space group approach to the wavefunction of a Cooper pair
journal, March 1992
- Yarzhemsky, V. G.; Murav'ev, E. N.
- Journal of Physics: Condensed Matter, Vol. 4, Issue 13
Odd parity and line nodes in nonsymmorphic superconductors
journal, September 2009
- Micklitz, T.; Norman, M. R.
- Physical Review B, Vol. 80, Issue 10
Structure of "triplet" superconducting energy gaps
journal, October 1984
- Anderson, P. W.
- Physical Review B, Vol. 30, Issue 7
Topologically stable gapless phases in nonsymmorphic superconductors
journal, October 2016
- Kobayashi, Shingo; Yanase, Youichi; Sato, Masatoshi
- Physical Review B, Vol. 94, Issue 13
Topological Blount's theorem of odd-parity superconductors
journal, July 2014
- Kobayashi, Shingo; Shiozaki, Ken; Tanaka, Yukio
- Physical Review B, Vol. 90, Issue 2