Enhancement of transverse thermoelectric conductivity originating from stationary points in nodal line

Abstract

Motivated by the recent discovery of a large anomalous Nernst effect in Co${}_2$MnGa, Fe${}_{3}X$ ($X$=Al, Ga) and Co${}_3$Sn${}_2$S${}_2$, we performed a first-principles study to clarify the origin of the enhancement of the transverse thermoelectric conductivity (${\alpha }_{ij}$) in these ferromagnets. The intrinsic contribution to ${\alpha }_{ij}$ can be understood in terms of the Berry curvature ($\Omega$) around the Fermi level, and $\Omega$ is singularly large along nodal lines (which are gapless in the absence of the spin-orbit coupling) in the Brillouin zone. We find that not only the Weyl points but also stationary points in the energy dispersion of the nodal lines play a crucial role. The stationary points make sharp peaks in the density of states projected onto the nodal line, clearly identifying the characteristic Fermi energies at which ${\alpha }_{ij}$ is most dramatically enhanced. We also find that ${\alpha }_{ij}/T$ breaks the Mott relation and show a peculiar temperature dependence at these energies. The present results suggest that the stationary points will give us a useful guiding principle to design magnets showing a large anomalous Nernst effect.

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• Scaling of Berry-curvature monopole dominated large linear positive magnetoresistance
• First-principles calculation of anomalous Hall and Nernst conductivity by local Berry phase
• Chemical-substitution-driven giant anomalous Hall and Nernst effects in magnetic cubic Heusler compounds
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Microscopic origins and stability of the ferromagnetism in Co${}_3$Sn${}_2$S${}_2$
• Linear response theories for interatomic exchange interactions
• Disorder- and Topology-Enhanced Fully Spin-Polarized Currents in Nodal Chain Spin-Gapless Semimetals
• Modulation of the Nernst Thermoelectrics by Regulating the Anomalous Hall and Nernst Angles
• Spin and anomalous Hall effects emerging from topological degeneracy in Dirac fermion system CuMnAs
• Nodal line resonance generating the giant anomalous Hall effect of Co${}_3$Sn${}_2$S${}_2$
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Thermoelectric effect in kagome lattice enhanced at van Hove singularities
• Magnetic, transport and topological properties of Co-based shandite thin films
• Logarithmic Criticality in Transverse Thermoelectric Conductivity of the Ferromagnetic Topological Semimetal CoMnSb
• Large anomalous Nernst effect in the ferromagnetic Fe3Si polycrystal