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 sublattice transformation of the elec- tron field operator is ˆS ˆψσ(x) ˆS−1 = (U ∗ S) σ′ σ ˆψ† σ′(x),(B10) whereU S =U ∗ CU ∗ T is a unitary operator acting on the spin sector
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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.