Classification of multiorbital superconducting state based on augmented multipoles
arXiv:2312.02410 · doi:10.1103/PhysRevB.109.174510
Abstract
The pairing interactions between electrons play an essential role in determining the properties in superconducting states. Recently, a plethora of unconventional superconducting states has been extensively explored, which often emerge owing to multipole fluctuations in the vicinity of multipole orders. We classify such superconducting states from the viewpoint of the multipole degrees of freedom by extending its representation to Nambu space. We clarify that under the crystallographic point group, arbitrary Cooper pairs between electrons with any angular momenta are systematically classified by four types of multipoles: electric, magnetic, magnetic toroidal, and electric toroidal. As examples, we apply our formulation to an -orbital electron system, which potentially exhibits exotic Cooper pairs under polar and axial point groups. Our systematic classification will be useful in characterizing unconventional superconducting states in multiorbital systems.
26 pages, 6 figures, 15 tables
References in corpus (15)
- Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
- Signatures of valence fluctuations in CeCu2Si2 under high pressure
- Ubiquitous Superconducting Diode Effect in Superconductor Thin Films
- Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
- Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
- Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
- Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
- Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
- Complete Multipole Basis Set for Single-Centered Electron Systems
- Classification of multipole superconductivity in multi-orbital systems and its implications
- Symmetry-adapted modeling for molecules and crystals
- Thermodynamic study of gap structure and pair-breaking effect by magnetic field in the heavy-fermion superconductor CeCu2Si2
- Two superconducting states with broken time-reversal symmetry in FeSe1-xSx
- Critical Slowing Down of Quadrupole and Hexadecapole Orderings in Iron Pnictide Superconductor
- Hexadecapole fluctuation mechanism for s-wave heavy fermion superconductor CeCu2Si2: Interplay between intra- and inter-orbital Cooper pairs