scholarly journals Dirac lines and loop at the Fermi level in the time-reversal symmetry breaking superconductor LaNiGa2

2022 ◽  
Vol 5 (1) ◽  
Author(s):  
Jackson R. Badger ◽  
Yundi Quan ◽  
Matthew C. Staab ◽  
Shuntaro Sumita ◽  
Antonio Rossi ◽  
...  

AbstractUnconventional superconductors have Cooper pairs with lower symmetries than in conventional superconductors. In most unconventional superconductors, the additional symmetry breaking occurs in relation to typical ingredients such as strongly correlated Fermi liquid phases, magnetic fluctuations, or strong spin-orbit coupling in noncentrosymmetric structures. In this article, we show that the time-reversal symmetry breaking in the superconductor LaNiGa2 is enabled by its previously unknown topological electronic band structure, with Dirac lines and a Dirac loop at the Fermi level. Two symmetry related Dirac points even remain degenerate under spin-orbit coupling. These unique topological features enable an unconventional superconducting gap in which time-reversal symmetry can be broken in the absence of other typical ingredients. Our findings provide a route to identify a new type of unconventional superconductors based on nonsymmorphic symmetries and will enable future discoveries of topological crystalline superconductors.

2021 ◽  
Vol 103 (19) ◽  
Author(s):  
Irakli Titvinidze ◽  
Julian Legendre ◽  
Maarten Grothus ◽  
Bernhard Irsigler ◽  
Karyn Le Hur ◽  
...  

2003 ◽  
Vol 68 (11) ◽  
Author(s):  
D. Stepanenko ◽  
N. E. Bonesteel ◽  
D. P. DiVincenzo ◽  
G. Burkard ◽  
Daniel Loss

2020 ◽  
Vol 117 (27) ◽  
pp. 15524-15529 ◽  
Author(s):  
Igor Marković ◽  
Matthew D. Watson ◽  
Oliver J. Clark ◽  
Federico Mazzola ◽  
Edgar Abarca Morales ◽  
...  

The interplay between spin–orbit coupling and structural inversion symmetry breaking in solids has generated much interest due to the nontrivial spin and magnetic textures which can result. Such studies are typically focused on systems where large atomic number elements lead to strong spin–orbit coupling, in turn rendering electronic correlations weak. In contrast, here we investigate the temperature-dependent electronic structure ofCa3Ru2O7, a4doxide metal for which both correlations and spin–orbit coupling are pronounced and in which octahedral tilts and rotations combine to mediate both global and local inversion symmetry-breaking polar distortions. Our angle-resolved photoemission measurements reveal the destruction of a large hole-like Fermi surface upon cooling through a coupled structural and spin-reorientation transition at 48 K, accompanied by a sudden onset of quasiparticle coherence. We demonstrate how these result from band hybridization mediated by a hidden Rashba-type spin–orbit coupling. This is enabled by the bulk structural distortions and unlocked when the spin reorients perpendicular to the local symmetry-breaking potential at the Ru sites. We argue that the electronic energy gain associated with the band hybridization is actually the key driver for the phase transition, reflecting a delicate interplay between spin–orbit coupling and strong electronic correlations and revealing a route to control magnetic ordering in solids.


It is shown in the first part how the basic formalism of the theory of spin-orbit coupling in the band theory of crystals can be deduced at once from the Dirac equation without the usual ambiguities over improper rotations associated with the formalism based on the Pauli-Schrödinger equation. In the second part it is shown that the original proofs of the time-reversal theorems given by Wigner are unnecessarily complicated.


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