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Triple-component fermions are pseudospin-1 quasiparticles hosted by certainthree-band semimetals in the vicinity of their band-touching nodes [Phys. Rev.B {\bf 100}, 235201 (2019)]. The excitations comprise of a flat band and twodispersive bands. The energies of the dispersive bands are$E_{\pm}=\pm\sqrt{\alpha^2_n k^{2n}_\perp+v^2_z k^2_z}$ with$k_\perp=\sqrt{k^2_x+k^2_y}$ and $n=1,2,3$. In this work, we obtain the exactexpression of Berry curvature, approximate form of density of states and Fermienergy as a function of carrier density for any value of $n$. In particular, westudy the Berry curvature induced electrical and thermal magnetotransportproperties of quadratic $(n=2)$ triple-component fermions using semiclassicalBoltzmann transport formalism. Since the energy spectrum is anisotropic, weconsider two orientations of magnetic field (${\bf B}$): (i) ${\bf B}$ appliedin the $x$-$y$ plane and (ii) ${\bf B}$ applied in the $x$-$z$ plane. For boththe orientations, the longitudinal and planar magnetoelectric/magnetothermalconductivities show the usual quadratic-$B$ dependence and oscillatorybehaviour with respect to the angle between the applied electricfield/temperature gradient and magnetic field as observed in other topologicalsemimetals. However, the out-of-plane magnetoconductivity has an oscillatorydependence on angle between the applied fields for the second orientation butis angle-independent for the first one. We observe large differences in themagnitudes of transport coefficients for the two orientations at a given Fermienergy. A noteworthy feature of quadratic triple-component fermions which istypically absent in conventional systems is that certain transport coefficientsand their ratios are independent of Fermi energy within the low-energy model.

Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system