Characterization of topological band structures away from the Fermi level by anomalous Nernst measurements

Abstract

Resolving the structure of energy bands in transport experiments is a major challenge in condensed matter physics and material science. Sometimes, however, traditional electrical conductance or resistance measurements only provide very small signals, and thus limit the ability to obtain direct band structure information. In this case, it has been proven beneficial to employ thermoelectric measurements which are sensitive to the first derivative of the density of states with respect to energy, rather than to its value itself. Due to the large interest in topological effects these days, it is important to identify a similar concept for detecting the Berry curvature in a band structure. Nowadays, the common way to access the Berry curvature directly via measurements is the anomalous Hall effect, but the corresponding signal can be too small to be detected when the topological features of the band structure lie too far off the Fermi level. In this work we propose to investigate topological band structure features utilizing the anomalous Nernst effect which is tied to the derivative of the anomalous Hall effect with respect to energy. Thereby, also signatures become resolvable, which are elusive in anomalous Hall measurements. We demonstrate the underlying mechanisms for a minimal effective four-band model and exemplary for the real Heusler compounds Co${}_2$Fe$X$ ($X$=Ge,Sn), which host topological nodal lines about 100 meV above the Fermi level. This work demonstrates that anomalous Nernst measurements can be an effective tool for the characterization of topological band structures, both at room temperature and in the quantum transport regime at cryogenic temperatures.

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Cited by in corpus (28)

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• Topological quantum materials from the viewpoint of chemistry
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• Thickness dependence of the anomalous Hall effect in thin films of the topological semimetal Co${}_2$MnGa
• Large transverse thermoelectric figure of merit in a Dirac semimetal
• Thickness dependence of the anomalous Nernst effect and the Mott relation of Weyl-semimetal Co2MnGa thin films
• Thermopower and Unconventional Nernst in the Predicted Type-II Weyl Semi-metal WTe${}_2$
• Anomalous Hall effect from gapped nodal line in Co2FeGe Heusler compound
• Giant Anomalous Nernst Effect in Noncollinear Antiferromagnetic Mn-based Antiperovskite Nitrides
• Sign change of the anomalous Hall effect and the anomalous Nernst effect in Weyl semimetal CeAlSi
• Multifunctional Antiperovskites driven by Strong Magnetostructural Coupling
• Observation of the anomalous Nernst effect in altermagnetic candidate Mn5Si3
• Large anomalous Nernst and inverse spin-Hall effects in epitaxial thin films of Kagome semimetal Mn${}_3$Ge
• Identifying the octupole Antiferromagnetic domain orientation in Mn${}_3$NiN by scanning Anomalous Nernst Effect microscopy
• Origin of negative anomalous Nernst thermopower in Mn-Ga ordered alloys
• Maximizing intrinsic anomalous Hall effect by controlling the Fermi level in simple Weyl semimetal films
• All Electrical Access to Topological Transport Features in Mn${}_{1.8}$PtSn Films
• Chemical-substitution-driven giant anomalous Hall and Nernst effects in magnetic cubic Heusler compounds
• Colossal anomalous Hall and Nernst effect from the breaking of nodal-line symmetry in Cu2CoSn Weyl semimetal: A first-principles study
• Anomalous Nernst effect in Mn${}_3$NiN thin films
• Linear Response in Topological Materials
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Modulation of the Nernst Thermoelectrics by Regulating the Anomalous Hall and Nernst Angles
• Intrinsic and extrinsic anomalous transport properties of Heusler ferromagnets Fe${}_2$CoAl and Fe${}_2$NiAl from first principles
• Direct electrical probing of anomalous Nernst conductivity
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Giant anomalous Hall and Nernst effect in magnetic cubic Heusler compounds
• High-throughput study of kagome compounds in the AV3Sb5 family