Fig. 1. Zero-temperature Bose-Bose correlations of Bose-Fermi mixture with fixed 5 bosons ($M=\mathrm{5}$) in T-G regime. In the numerical evaluations, $N$ is taken as (a) $N=\mathrm{6}$; (b) $N=\mathrm{8}$; (c) $N=\mathrm{10}$; (d) $N=\mathrm{12}$; (e) $N=\mathrm{20}$; (f) $N=\mathrm{30}$

Fig. 2. Zero-temperature Bose-Bose correlations of Bose-Fermi mixture with fixed 10 particles [(a)-(c)] and 20 particles [(d)-(f)] in T-G regime. In the numerical evaluations, $M$ is taken as (a) $M=\mathrm{3}$; (b) $M=\mathrm{5}$; (c) $M=\mathrm{7}$; (d) $M=\mathrm{3}$; (e) $M=\mathrm{5}$; (f) $M=\mathrm{7}$

Fig. 3. Zero-temperature Bose-Bose correlations of Bose-Fermi mixture with fixed 15 fermions ($N-M=\mathrm{15}$) in T-G regime. In the numerical evaluations, $N$ is taken as (a) $N=\mathrm{8}$; (b) $N=\mathrm{10}$; (c) $N=\mathrm{12}$; (d) $N=\mathrm{14}$; (e)$N=\mathrm{20}$; (f) $N=\mathrm{30}$

Fig. 4. Finite-temperature Fermi-Fermi correlation $G^f\left(x_{N-\mathrm{1}},x_N;T\right)$ of Bose-Fermi mixture in T-G regime. The four plots in the top row [(a)-(d)] give the fermi-fermi correlations for $N=\mathrm{10},M=\mathrm{7}$ with temperatures $T$ taken as $\mathrm{0.1}{T}_{\gamma }$, $\mathrm{0.5}{T}_{\gamma }$, $\mathrm{2}{T}_{\gamma }$, $\mathrm{5}{T}_{\gamma }$ ($T_{\gamma }=\mathrm{4}{E}_f/\mathrm{3}\gamma$)respectively. The three plots [(e), (f)] in the bottom row display the finite temperature fermi-fermi correlations along the diagonal line $G^f\left(x_{N-\mathrm{1}}-x_N;T\right)$ for various temperature and (e) $N=\mathrm{10},M=\mathrm{7}$; (f) $N=\mathrm{20},M=\mathrm{17}$; (g) $N=\mathrm{20},M=\mathrm{13}$