Topological charge-entropy scaling in kagome Chern magnet TbMn${}_6$Sn${}_6$

Abstract

In ordinary materials, electrons conduct both electricity and heat, where their charge-entropy relations observe the Mott formula and the Wiedemann-Franz law. In topological quantum materials, the transverse motion of relativistic electrons can be strongly affected by the quantum field arising around the topological fermions, where a simple model description of their charge-entropy relations remains elusive. Here we report the topological charge-entropy scaling in the kagome Chern magnet TbMn${}_6$Sn${}_6$, featuring pristine Mn kagome lattices with strong out-of-plane magnetization. Through both electric and thermoelectric transports, we observe quantum oscillations with a nontrivial Berry phase, a large Fermi velocity and two-dimensionality, supporting the existence of Dirac fermions in the magnetic kagome lattice. This quantum magnet further exhibits large anomalous Hall, anomalous Nernst, and anomalous thermal Hall effects, all of which persist to above room temperature. Remarkably, we show that the charge-entropy scaling relations of these anomalous transverse transports can be ubiquitously described by the Berry curvature field effects in a Chern-gapped Dirac model. Our work points to a model kagome Chern magnet for the proof-of-principle elaboration of the topological charge-entropy scaling.

14 pages, 3 figures

References in corpus (14)

• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Observation of the Magnon Hall Effect
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Linear magnetization dependence of the intrinsic anomalous Hall effect
• Rare earth engineering in RMn${}_6$Sn${}_6$ topological kagome magnets
• Probing topological quantum matter with scanning tunnelling microscopy
• Anomalous transverse response of Co${}_2$MnGa and universality of the room-temperature ${\alpha }_{ij}^A/{\sigma }_{ij}^A$ ratio across topological magnets
• Spin-orbit quantum impurity and quantization in a topological magnet
• Many-body Resonance in a Correlated Topological Kagome Antiferromagnet
• Perspective: 3D quantum Hall effect
• A mono-material Nernst thermopile with hermaphroditic legs
• Quantum oscillations, Magnetic breakdown and thermal Hall effect in Co${}_3$Sn${}_2$S${}_2$

Cited by in corpus (36)

• Topological kagome magnets and superconductors
• Quantum states and intertwining phases in kagome materials
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• Highly anisotropic magnetism in the vanadium-based kagome metal TbV6Sn6
• Quantum Interactions in Topological R166 Kagome Magnet
• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Triangular Kondo lattice in $\mathrm{Yb}{\mathrm{V}}_6\mathrm{S}{\mathrm{n}}_6$ and its quantum critical behaviors in magnetic field
• Tunable magnetism and electron correlation in Titanium-based Kagome metals RETi3Bi4 (RE = Yb, Pr, and Nd) by rare-earth engineering
• Flat-Band Enhanced Antiferromagnetic Fluctuations and Superconductivity in Pressurized CsCr${}_3$Sb${}_5$
• Stability frontiers in the AM${}_6$X${}_6$ kagome metals: The LnNb${}_6$Sn${}_6$ (Ln:Ce-Lu,Y) family and density-wave transition in LuNb${}_6$Sn${}_6$
• Magneto-Transport Properties of Kagome Magnet TmMn${}_6$Sn${}_6$
• Topological Hall effect induced by chiral fluctuations in ErMn6Sn6
• Anisotropic magnetism and band evolution induced by ferromagnetic phase transition in titanium-based kagome ferromagnet SmTi3Bi4
• Effect of magnetism and phonons on localized carriers in the ferrimagnetic kagome metals GdMn${}_6$Sn${}_6$ and TbMn${}_6$Sn${}_6$
• Kagome metals
• Quantum oscillations in kagome metals (Ti, Zr, Hf)V6Sn6 at Van Hove filling
• Flat optical conductivity in the topological kagome magnet TbMn${}_6$Sn${}_6$
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Extremely large anomalous Hall conductivity and unusual axial diamagnetism in a quasi-1D Dirac material La${}_3$MgBi${}_5$
• Electronic band structures of topological kagome materials
• The role of electron correlations in the electronic structure of putative Chern magnet TbMn${}_6$Sn${}_6$
• Ground-state magnetic structures of topological kagome metals RV${}_6$Sn${}_6$ (R = Tb, Dy, Ho, Er)
• Onsager reciprocal relation between anomalous transverse coefficients of an anisotropic antiferromagnet
• Magnetoresistance signature of two-dimensional electronic states in Co${}_3$Sn${}_2$S${}_2$
• Large Anomalous and Topological Hall Effect and Nernst Effect in a Dirac Kagome Magnet Fe3Ge
• Heat-bath approach to anomalous thermal transport: effects of inelastic scattering
• Kagome Metal GdNb${}_6$Sn${}_6$: A 4d Playground for Topological Magnetism and Electron Correlations
• Competing Lattice Instability and Magnetism on the Surface of Kagome Metals
• Evolution of the Chern Gap in Chern Magnet HoMn${}_6$Sn${}_{6-x}$Ge${}_x$
• Multiple topological corner states in the continuum of extended kagome lattice
• Room temperature quantum metric effect in TbMn6Sn6
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Precompression engineering of metal-insulator transition and magnetism in designed breathing kagome systems
• Omnidirectional magnetic imaging of magnetic anisotropy and phase transitions
• Probing Quantum Geometric Phases via Scanning Tunneling Microscopy
• Computational prediction of ferromagnetic AT6X6 kagome compounds