Figure 1

(Color online) Spectral function for semicircular DOS, inverse temperature $\beta =16$ and density $n=0.8$. Dot-dashed, full, and double-dot-dashed curves correspond to the sum (17) with $M$ chosen to be $6$, $9$, and $12$, respectively. In the legend, we also print the lowest singular value taken into account $\left(S_M\right)$. For comparison we show the maximum entropy spectrum (dashed curve) and SUNCA spectrum (dotted line). The inset shows the same spectra in a broader window.Reuse & Permissions

Figure 2

(Color online) Imaginary part of the self-energy obtained from the Green’s function by the inverse of the Hilbert transform. Full line was obtained by the singular value decomposition, the dashed by the maximum entropy method, and the dot dashed by SUNCA. Parameters used are the same as in Fig. 1.Reuse & Permissions

Figure 3

(Color online) LDA DOS of ${\mathrm{LaTiO}}_3$ (dotted line with star symbols), its tight-binding fit (solid line) and semicircular DOS (dot-dashed line). Arrows indicate Fermi-level position for filling $n=0.8$ (the first one is for the semicircular DOS, and the second one is for the tight-binding fit).Reuse & Permissions

Figure 4

(Color online) The chemical potential $\mu$ versus filling $n$ for semicircular (sc) and tight-binding (tb) DOS and various values of interaction $U$ at temperature $\beta =16$.Reuse & Permissions

Figure 5

(Color online) Filling dependence of the quasiparticle residue, $Z$, for semicircular (sc) and tight-binding (tb) DOS and various values of interaction, $U$, at temperature $\beta =16$.Reuse & Permissions

Figure 6

(Color online) DOS at the Fermi level, $\rho \left(E_F\right)$ $[states∕(\mathit{eV}unitcell\left)\right]$, vs filling, $n$, for semicircular (sc) and tight-binding (tb) DOS and various values of interaction, $U$. All of the data was computed for $\beta =16$.Reuse & Permissions

Figure 7

(Color online) The linear coefficient of specific heat $\gamma$ $(\mathrm{mJ}∕\mathrm{mol}{\mathrm{K}}^2)$ vs the density for different interaction strengths and DOSs at temperature $\beta =16$.Reuse & Permissions

Figure 8

(Color online) Filling dependence of the quasiparticle residue $Z$ and the linear coefficient of specific heat $\gamma$ obtained from two impurity solvers: QMC (solid line with stars) and SUNCA (dashed line with circle symbols) for $U=5$, temperature $\beta =16$. Experimental points are given by cross symbols and dot-dashed line is used as a guide for the eye. The tight-binding density of states was used in the self-consistency loop of the DMFT procedure. For comparison we also provide the $Z$ vs $n$ curve obtained with the IPT method for the same parameters as the ones used in the QMC and SUNCA calculations.Reuse & Permissions

Figure 9

(Color online) In the two upper panels we compare the energy dependencies of imaginary and real parts of the GF on the Matsubara axis for dopings $n=0.8$ and $0.9$ computed using QMC (circles) and SUNCA (solid line) methods. In the lower panels we plot the imaginary parts of the self-energies for the same parameters as in the upper panels. We used the semicircular DOS in the DMFT self-consistency procedure and $U=5$ at temperature $\beta =16$.Reuse & Permissions

Figure 10

(Color online) Temperature dependence of DMFT density of states for $n=0.8$ and $U=5$. A larger frequency interval is plotted in the inset. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 11

(Color online) Doping dependence of DMFT density of states for $T=0.05$ and $U=5$. A larger frequency interval is plotted in the inset. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 12

(Color online) Temperature dependence of imaginary part of the self-energy for $n=0.8$. In the inset the real part of the self-energy is shown for the same temperatures. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 13

(Color online) Doping dependence of imaginary part of the self-energy for $T=0.1$. In the inset the real part of the self-energy is shown for the same dopings. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 14

(Color online) Temperature dependence of the transport function for $n=0.8$. In the inset a larger frequency interval is used. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 15

(Color online) Doping dependence of the transport function for temperature $T=0.1$. In the inset a larger frequency interval is shown. Energy is in units of half bandwidth $D$.Reuse & Permissions

Figure 16

(Color online) The temperature behavior of thermopower at different dopings.Reuse & Permissions

Figure 17

(Color online) The temperature of the resistivity at three different dopings.Reuse & Permissions

Figure 18

(Color online) The Lorentz ratio vs temperature for three different dopings.Reuse & Permissions

Figure 19

(Color online) The temperature behavior of the thermal conductivity for different dopings.Reuse & Permissions