Quantum oscillations, Magnetic breakdown and thermal Hall effect in Co${}_3$Sn${}_2$S${}_2$

Abstract

Co${}_3$Sn${}_2$S${}_2$ is a ferromagnetic semi-metal with Weyl nodes in its band structure and a large anomalous Hall effect below its Curie temperature of 177 K. We present a detailed study of its Fermi surface and examine the relevance of the anomalous transverse Wiedemann Franz law to it. We studied Shubnikov-de Haas oscillations along two orientations in single crystals with a mobility as high as $2.7\times$10${}^3$ cm${}^2$V${}^{-1}$s${}^{-1}$ subject to a magnetic field as large as $\sim$ 60 T. The angle dependence of the frequencies is in agreement with density functional theory (DFT) calculations and reveals two types of hole pockets (H1, H2) and two types of electron pockets (E1, E2). An additional unexpected frequency emerges at high magnetic field. We attribute it to magnetic breakdown between the hole pocket H2 and the electron pocket E2, since it is close to the sum of the E2 and H2 fundamental frequencies. By measuring the anomalous thermal and electrical Hall conductivities, we quantified the anomalous transverse Lorenz ratio, which is close to the Sommerfeld ratio ($L_0=\frac{{\pi }^2}{3}\frac{k_B^2}{e^2}$) below 100 K and deviates downwards at higher temperatures. This finite temperature deviation from the anomalous Wiedemann-Franz law is a source of information on the distance between the sources and sinks of the Berry curvature and the chemical potential.

arXiv comment7 pages, 6 figures, supplemental materials included

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• Quantum oscillations in Noncentrosymmetric Weyl semimetals RAlSi (R = Sm and Ce)
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• Weyl nodal ring states and Landau quantization with very large magnetoresistance in square-net magnet EuGa${}_4$
• Tuning the anomalous Nernst and Hall effects with shifting the chemical potential in Fe-doped and Ni-doped Co${}_3$Sn${}_2$S${}_2$
• Quantum oscillation studies of the nodal line semimetal Ni3In2S2-xSex
• On the Onsager-Casimir reciprocal relations in a tilted Weyl semimetal
• Nanosculpted 3D helices of a magnetic Weyl semimetal with switchable nonreciprocity
• Magnetic memory and distinct spin populations in ferromagnetic Co3Sn2S2
• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Is it possible to determine unambiguously the Berry phase solely from quantum oscillations?