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

Abstract

Triple-component fermions are pseudospin-1 quasiparticles hosted by certain three-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 two dispersive bands. The energies of the dispersive bands are $E_{\pm }=\pm \sqrt{{\alpha }_n^2{k}_{\perp }^{2n}+v_z^2{k}_z^2}$ with $k_{\perp }=\sqrt{k_x^2+k_y^2}$ and $n=1,2,3$. In this work, we obtain the exact expression of Berry curvature, approximate form of density of states and Fermi energy as a function of carrier density for any value of $n$. In particular, we study the Berry curvature induced electrical and thermal magnetotransport properties of quadratic $(n=2)$ triple-component fermions using semiclassical Boltzmann transport formalism. Since the energy spectrum is anisotropic, we consider two orientations of magnetic field ($\mathbf{B}$): (i) $\mathbf{B}$ applied in the $x$-$y$ plane and (ii) $\mathbf{B}$ applied in the $x$-$z$ plane. For both the orientations, the longitudinal and planar magnetoelectric/magnetothermal conductivities show the usual quadratic-$B$ dependence and oscillatory behaviour with respect to the angle between the applied electric field/temperature gradient and magnetic field as observed in other topological semimetals. However, the out-of-plane magnetoconductivity has an oscillatory dependence on angle between the applied fields for the second orientation but is angle-independent for the first one. We observe large differences in the magnitudes of transport coefficients for the two orientations at a given Fermi energy. A noteworthy feature of quadratic triple-component fermions which is typically absent in conventional systems is that certain transport coefficients and their ratios are independent of Fermi energy within the low-energy model.

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• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Chiral anomaly and internode scatterings in multifold semimetals
• Disorder effects on triple-point fermions
• Quantum transport of a spin-1 chiral fermion
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation