Fig. 3: Hartree-Fock ground energies and ground states. | Nature Communications

Fig. 3: Hartree-Fock ground energies and ground states.

From: Topological minibands and interaction driven quantum anomalous Hall state in topological insulator based moiré heterostructures

Fig. 3

a The spectra (orange) for the Hartree-Fock mean-field Hamiltonian with the order parameter ρz(k) at half filling of CB1 for the case with ϕ = 0, α = 1, V0/E0 = 0. C is the Chern number of each band. b The Hartree-Fock spectra (black) for the order parameter ρxy(k) for the same parameter as (a). In (a, b), the blue lines are single-particle spectra. c The difference in energy per particle between the self-consistent Hartree-Fock states Ei and the non-interacting state En as a function of Coulomb interaction strengths for the order parameters ρz(k) (orange) and ρxy(k) (black). d The spectra (orange) for the Hartree-Fock mean-field Hamiltonian with the order parameter ρz(k) at half filling of CB1 for the case with ϕ = 0, α = 0, V0/E0 = 1.2. e The Hartree-Fock spectra (black) for the order parameter ρxy(k) for the same parameter as (d). In (d, e), the blue lines are single-particle spectra. f The energy difference Ei − En for the order parameters ρz(k) (orange) and ρxy(k) (black).

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