Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co₃Sn₂S₂

The recent discovery of magnetic Weyl semimetal Co₃Sn₂S₂ opens up new avenues for research into the interactions between topological orders, magnetism, and electronic correlations. Motivated by the observations of large anomalous Hall effect due to large Berry curvature, we investigate another Berry curvature-induced phenomenon, the anomalous thermal Hall effect in Co₃Sn₂S₂. We study it with and without strain, using a tight-binding Hamiltonian derived from first principles density functional theory calculations. We first identify this material as a tilted type-I Weyl semimetal based on the band structure calculation. Within the quasi-classical framework of Boltzmann transport theory, a giant anomalous thermal Hall signal appears due to the presence of large Berry curvature. Surprisingly, the thermal Hall current changes and even undergoes a sign-reversal upon varying the chemical potential. Furthermore, applying about 13 GPa stress, an enhancement as large as 33% in the conductivity is observed; however, the material turns into a non-tilted Weyl semimetal. In addition, we have confirmed the validity of the Wiedemann-Franz law in this system for anomalous transports. We propose specific observable signatures that can be directly tested in experiments.