scholarly journals Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry

2021 ◽  
Vol 103 (19) ◽  
Author(s):  
Irakli Titvinidze ◽  
Julian Legendre ◽  
Maarten Grothus ◽  
Bernhard Irsigler ◽  
Karyn Le Hur ◽  
...  
Keyword(s):  
Time Reversal ◽  
Orbit Coupling ◽  
Time Reversal Symmetry ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Kagome Lattice ◽  
Kagomé Lattice

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 ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Fermi Level ◽  
Time Reversal ◽  
Orbit Coupling ◽  
Time Reversal Symmetry ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Electronic Band ◽  
Unconventional Superconductors ◽  
Topological Features

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.

scholarly journals Spin-orbit coupling and time-reversal symmetry in quantum gates

2003 ◽  
Vol 68 (11) ◽  
Author(s):  
D. Stepanenko ◽  
N. E. Bonesteel ◽  
D. P. DiVincenzo ◽  
G. Burkard ◽  
Daniel Loss
Keyword(s):  
Time Reversal ◽  
Orbit Coupling ◽  
Quantum Gates ◽  
Time Reversal Symmetry ◽  
Spin Orbit Coupling ◽  
Spin Orbit

Space-group operations and time-reversal for a Dirac electron in a crystal field

1958 ◽  
Vol 243 (1235) ◽  
pp. 546-554 ◽  
Keyword(s):  
Dirac Equation ◽  
Crystal Field ◽  
Time Reversal ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Band Theory ◽  
Space Group ◽  
Basic Formalism ◽  
Dirac Electron

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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