Thermal Hall conductivity in the cuprate Mott insulators Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$

Abstract

The heat carriers responsible for the unexpectedly large thermal Hall conductivity of the cuprate Mott insulator La${}_2$CuO${}_4$ were recently shown to be phonons. However, the mechanism by which phonons in cuprates acquire chirality in a magnetic field is still unknown. Here, we report a similar thermal Hall conductivity in two cuprate Mott insulators with significantly different crystal structures and magnetic orders - Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$ - and show that two potential mechanisms can be excluded - the scattering of phonons by rare-earth impurities and by structural domains. Our comparative study further reveals that orthorhombicity, apical oxygens, the tilting of oxygen octahedra and the canting of spins out of the CuO${}_2$ planes are not essential to the mechanism of chirality. Our findings point to a chiral mechanism coming from a coupling of acoustic phonons to the intrinsic excitations of the CuO${}_2$ planes.

29 pages, 8 figures

References in corpus (8)

• Observation of the Magnon Hall Effect
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Thermal Hall Effect of Spins in a Paramagnet
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Origin of the Phonon Hall Effect in Rare-Earth Garnets
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Consideration of Thermal Hall Effect in Undoped Cuprates

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