Fig. 1: Model definition and electronic properties in the noninteracting limit. | npj Computational Materials

Fig. 1: Model definition and electronic properties in the noninteracting limit.

From: A hybrid Monte Carlo study of bond-stretching electron–phonon interactions and charge order in BaBiO3

Fig. 1

(a) Lattice structure of the three-dimensional, four-orbital model. A Bi 6s orbital is surrounded by six O 2pσ orbitals. Red arrows indicate the relevant hopping integrals, with the phase factor included in hole language. (b) The band structure in the noninteracting limit, αsp = 0. The horizontal red line indicates the Fermi energy at a target filling of 1 hole per Bi atom. (c) For the target filling, the noninteracting charge susceptibility χ0(q) is computed using the lowest energy band (black) in panel (b) for three different temperatures. As the temperature is lowered, the peak at q = (π, π, π)a−1 grows. (d) At the fixed temperature β = 10 eV−1, χ0(q) for four values of the charge transfer energy ϵ2p − ϵ6s, the difference in the on-site energy of the O 2pσ and Bi 6s orbitals. The peak at q = (π, π, π)a−1 is approximately independent of the charge transfer energy.

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