can be expressed in terms of some kinetic coefficients $\mathcal{L}^{\alpha}$ as the following [@moslem-bp2], $$\begin{aligned}
\begin{pmatrix}
{\bf j} \\  {\bf j}^{q}
\end{pmatrix}=
\begin{pmatrix}
\mathcal{L}^{0} & -\mathcal{L}^{1}/eT\\
\mathcal{L}^{1}/e & -\mathcal{L}^{2}/e^{2}T
\end{pmatrix}
\begin{pmatrix}
{\vec{\mathcal{E}}} \\ -{\vec{\mathcal{\nabla}}} T
\end{pmatrix}
\label{eqbolt}\end{aligned}$$

in which the two diagonal terms in coefficients matrix are the electrical $\sigma$ and thermal $\mathcal{K}$ conductivities, and the two off-diagonal elements are the mixed coefficients, relating electrical and thermal phenomena through the Onsager’s reciprocity relations. The thermoelectric power (or Seebeck coefficient) $\mathcal{S}=-\frac{1}{eT}(\mathcal{L}^{0})^{-1}\cdot\mathcal{L}^{1}$, describes the voltage generation due to the temperature gradient while Peltier coefficient $\Pi=T\mathcal{S}$ accounts for the heat current induction due to the charge current, respectively. The ability of a given material to efficiently produce thermoelectric power is related to its dimensionless figure of merit. By parameterizing ${\vec{\mathcal{E}}}$ and $\vec{k}$, as ${\vec{\mathcal{E}}}=\mathcal{E}(\cos\theta, \sin\theta)$, ${\vec k}=k(\cos\phi, \sin\phi)$, respectively, all of the coefficients obey the relation $$\begin{aligned}
\label{eq:L}
\mathcal{L}^{\alpha}(\theta, \theta')=\int d\varepsilon\left[\frac{-\partial f_{0}}{\partial\varepsilon}\right](\varepsilon-\mu)^{\alpha}\sigma(\varepsilon; \theta, \theta')\label{cond_ene}\end{aligned}$$

in which, in the linear response theory, the generalized conductivity $\sigma(\varepsilon; \theta, \theta')$ is defined as, $$\begin{aligned}
\label{eq:sigma}
\sigma(\varepsilon; \theta, \theta')&=&e^{2}\int\frac{d^{2}k}{(2\pi)^{2}}\delta\left(\varepsilon-\varepsilon(\vec{k})\right) v^2(\phi)\nonumber\\
&&\quad\left[a(\phi)\cos\theta+b(\phi)\sin\theta\right]\cos(\theta-\xi(\phi))\qquad\end{aligned}$$ with $\theta=\theta^{\prime}=0$ for $\sigma_{xx}$ and $\theta=\theta^{\prime}=\pi/2$ for $\sigma_{yy}$. We focus here on low enough temperatures, where only electrons contribute effectively in thermal transport and disregard phonon 