  In the present work, we have tried to investigate the importance of
electronic correlation on transport properties and phononic states of Vanadium
(V). The temperature-dependent electrical resistivity ($\rho$) and electronic
part of thermal conductivity ($\kappa_e$) due to electron-electron interactions
(EEIs) and electron-phonon interactions (EPIs) are computed. The values of
$\rho$ due to EEIs are found to be extremely small in comparison to $\rho$ due
to EPIs. For instance, at 300 K, the calculated value of $\rho$ due to EEIs
(EPIs) is $\sim$ 0.859$\times10^{-3}$ ($\sim$ 0.20) $\mu\Omega$m. The
magnitudes of $\kappa_e$ due to EPIs are found to be in good agreement with the
experimental results. These observations indicate the negligible importance of
EEIs to these quantities for V. However, at 300 K, the value of Seebeck
coefficient ($S$) at DFT+DMFT level ($\sim$ -0.547 $\mu$VK$^{-1}$) is found to
be entirely different than at DFT level ($\sim 7.401$ $\mu$VK$^{-1}$). Also,
the DFT+DMFT value of $S$ at 300 K is in good match with the available
experimental data (-1.06 $\mu$VK$^{-1}$, 1.0 $\mu$VK$^{-1}$). Apart from this,
the study of phononic states at DFT and DFT+DMFT level is performed. The
obtained phononic band structure and phonon DOS at DFT+DMFT differ to a good
extent from that at DFT. The maximum energy of phononic state obtained at DFT
(DFT+DMFT) is $\sim$ 33.83 ($\sim$ 35.15) meV, where the result of DFT+DMFT is
obtained more closer to the experimental data (35.15, 36.98 & 41.77 meV). These
results highlight the importance of electronic correlation on $S$ & phononic
states of simple correlated V metal.
