Operators and Symmetries

1. \(c_{n,\uparrow}^\dagger c_{n,\downarrow}\)
   • Breaks Time reversal symmetry (TRS)
   • In-plane magnetization
2. \(c_{n,\uparrow}^\dagger c_{n+1,\downarrow}\)
   • Doesn't necessarily have to break TRS or translational symmetry
   • Spin-Orbit coupling
3. \(c_{n,\uparrow}^\dagger c_{n+1,\uparrow}^\dagger\)
   • Doesn't conserve charge
   • Unconventional Superconductivity (Crbr3/NbSe2)