Fig. 4 | Nature Communications

Fig. 4

From: Imaging the nanoscale phase separation in vanadium dioxide thin films at terahertz frequencies

Fig. 4

Spectra at different temperatures around Tc, calculated from DMFT for the dimer Hubbard model. Spectra calculated with parameters t = 0.2, U = 3.1 (ac) and t = 0.5, U = 2.405 (df) as a function of energy normalized to the half-bandwidth D. The temperatures (normalized to Tc) of each curve for small t/U (ac) are shown to the left of panel (a). The temperatures used for large t/U (df) are shown to the left of panel (d). The local density of states (LDOS) at different temperatures as a function of energy is shown for small t/U (a) and large t/U (d). The black line is the LDOS at T = 0. The sharp peak in the T = 0 LDOS in (d) is due to the formation of an intra-dimer singlet at very low temperatures (see text for details). The real part of the optical conductivity at different temperatures is shown for small t/U (b) and large t/U (e). All conductivities are normalized to the DC conductivity at the highest temperature shown (i.e., the DC conductivity of the metallic state). The calculated near-field signal at different temperatures as a function of frequency is shown for small t/U (c) and large t/U (f). The vertical gray lines in all figures indicate the THz (dashed) and MIR (dotted) frequencies used for calculating histograms in Fig. 5

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