Thermal Hall Effect of Spins in a Paramagnet

Abstract

Theory of Hall transport of spins in a correlated paramagnetic phase is developed. By identifying the thermal Hall current operator in the spin language, which turns out to equal the spin chirality in the pure Heisenberg model, various response functions can be derived straightforwardly. Subsequent reduction to the Schwinger boson representation of spins allows a convenient calculation of thermal and spin Hall coefficients in the paramagnetic regime using self-consistent mean-field theory. Com- parison is made to results from the Holstein-Primakoff reduction of spin operators appropriate for ordered phases.

References in corpus (3)

• Observation of the Magnon Hall Effect
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Magnon Insulator in Insulating Ferromagnet

Cited by in corpus (17)

• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Dynamics of magnon fluid in Dzyaloshinskii-Moriya magnet and its manifestation in magnon-Skyrmion scattering
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Topological Magnon Bands and Unconventional Thermal Hall Effect on the Frustrated Honeycomb and Bilayer Triangular Lattice
• Thermal Hall effect in a van der Waals triangular magnet FeCl2
• Sizeable suppression of thermal Hall effect upon isotopic substitution in strontium titanate
• Sizable suppression of magnon Hall effect by magnon damping in Cr${}_2$Ge${}_2$Te${}_6$
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets