Finite-temperature violation of the anomalous transverse Wiedemann-Franz law

Abstract

The Wiedemann-Franz (WF) law links the ratio of electronic charge and heat conductivity to fundamental constants. It has been tested in numerous solids, but the extent of its relevance to the anomalous transverse transport, which represents the topological nature of the wave function, remains an open question. Here we present a study of anomalous transverse response in the noncollinear antiferromagnet Mn${}_3$Ge extended from room temperature down to sub-Kelvin temperature and find that the anomalous Lorenz ratio remains close to the Sommerfeld value up to 100 K, but not above. The finite-temperature violation of the WF correlation is caused by a mismatch between the thermal and electrical summations of the Berry curvature, rather than the inelastic scattering as observed in ordinary metals. This interpretation is backed by our theoretical calculations, which reveals a competition between the temperature and the Berry curvature distribution. The accuracy of the experiment is supported by the verification of the Bridgman relation between the anomalous Ettingshausen and Nernst effects. Our results identify the anomalous Lorenz ratio as an extremely sensitive probe of Berry spectrum near the chemical potential.

arXiv comment9 pages,6 figures, Supplemental Material included

References in corpus (36)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnetic Mn3Ge
• Anomalous Hall effect arising from noncollinear antiferromagnetism
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Large anomalous Nernst effect at room temperature in a chiral antiferromagnet
• Evidence for Magnetic Weyl Fermions in a Correlated Metal
• Berry phase effect in anomalous thermoelectric transport
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Giant anomalous Nernst effect and quantum-critical scaling in a ferromagnetic semimetal
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Giant Anomalous Hall Effect in the Chiral Antiferromagnet Mn3Ge
• Semiclassical theories of the anomalous Hall effect
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• Anomalous Nernst and Righi-Leduc effects in Mn${}_3$Sn: Berry curvature and entropy flow
• Anomalous Hall Effect in ZrTe5
• On the thermoelectricity of correlated electrons in the zero-temperature limit
• Rotational motion of magnon and thermal Hall effect
• Energy Magnetization and Thermal Hall Effect
• Anomalous Nernst Effect in Dirac Semimetal Cd3As2
• Nernst effect in metals and superconductors: a review of concepts and experiments
• Anomalous Hall effect in Weyl semimetal half Heusler compounds RPtBi (R = Gd and Nd)
• Thermo-Electric Properties of Quantum Point Contacts
• Anomalous-Hall heat current and Nernst effect in the ferromagnet CuCr_2Se_{4-x}Br_x
• Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn${}_3$Sn/Ge
• Berry curvature unravelled by the Nernst effect in Mn${}_3$Ge
• Departure from the Wiedemann-Franz Law in WP${}_2$ Driven by Mismatch in $T$-square Resistivity Prefactors
• Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Momentum-space and real-space Berry curvatures in Mn${}_3$Sn
• Manifestation of the spin textures in the thermopower of MnSi

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