Zusammenfassung
We study the linear, second-order nonlinear (NL) current and voltage responses of a two-dimensional gapped semi-Dirac system with merging Dirac nodes along the x direction under the influence of a weak magnetic field (B), using the semiclassical Boltzmann formalism. We investigate the effect of band geometric quantities such as Berry curvature and orbital magnetic moment in the responses up to ...
Zusammenfassung
We study the linear, second-order nonlinear (NL) current and voltage responses of a two-dimensional gapped semi-Dirac system with merging Dirac nodes along the x direction under the influence of a weak magnetic field (B), using the semiclassical Boltzmann formalism. We investigate the effect of band geometric quantities such as Berry curvature and orbital magnetic moment in the responses up to linear order in B. We derive exact analytical expressions of the linear magnetoconductivities, second-harmonic NL anomalous Hall (NAH), and NL anomalous velocity and Lorentz force induced (NAL) conductivities, unveiling their dependence on Fermi energy and a gap parameter 80. For 80 > 0, the Fermi surface topology changes at a particular Fermi energy, which is reflected in the nature of conductivities through a kink. The ratio of NAL and NAH conductivities is found to be independent of 80 and inversely related to Fermi energy. The NL dc current exhibits distinct orientations depending on the Fermi energy, magnetic field, and polarization of the electromagnetic wave. In the presence of magnetic field, the NL dc current vector can be rotated through large angles upon variation of Fermi energy. For high Fermi energies, the NL dc current is directed nearly along the y-axis for x-polarized and low-frequency circularly polarized light, whereas it aligns close to the x-axis for high-frequency circularly polarized light. These orientations of the NL dc current are predominantly governed by the mirror symmetry of the system along the x direction. Additionally, we also study the NL voltage responses of the system by applying current along the x and y directions. The system exhibits asymmetry in the B-dependencies of the NL resistivities for the two current directions, which may serve as an experimentally relevant signature for band geometric quantities and merging Dirac nodes in such systems.
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