The paper uses a spinor field-theory model with a periodic vector potential to rederive Chern number and Chern vector formulas and to construct an optical conductivity tensor.
The particle-hole transformation of the electron field operator is ˆC ˆψσ(x) ˆC −1 = (U ∗ C) σ′ σ ˆψ† σ′(x),(B8) whereU C is a unitary operator acting on the spin sec- tor
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Chern insulators in two and three dimensions: A global perspective
The paper uses a spinor field-theory model with a periodic vector potential to rederive Chern number and Chern vector formulas and to construct an optical conductivity tensor.