Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation

Abstract

The effect of thermal fluctuation on the spin-chirality-induced anomalous Hall effect in itinerant magnets is theoretically studied. Considering a triangular-lattice model as an example, we find that a multiple-spin scattering induced by the fluctuating spins increases the Hall conductivity at a finite temperature. The temperature dependence of anomalous Hall conductivity is evaluated by a combination of an unbiased Monte Carlo simulation and a perturbation theory. Our results show that the Hall conductivity can increase up to $10^3$ times the ground state value; we discuss that this is a consequence of a skew scattering contribution. This enhancement shows the thermal fluctuation significantly affects the spin-chirality-related Hall effect. Our results are potentially relevant to the thermal enhancement of anomalous Hall effect often seen in experiments.

5 pages, 3 figures

References in corpus (8)

• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Real-Space and Reciprocal-Space Berry Phases in the Hall Effect of Mn${}_{1-\mathrm{x}}$Fe${}_{\mathrm{x}}$Si
• Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
• Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal
• Quantum Anomalous Hall Effect in Kagome Ice
• From frustrated magnetism to spontaneous Chern insulators
• Ferromagnetic transition in the double-exchange model on the pyrochlore lattice

Cited by in corpus (6)

• Colossal topological Hall effect at the transition between isolated and lattice-phase interfacial skyrmions
• Unusual Field Dependence of Anomalous Hall Effect in Ta/TbFeCo
• Kagome lattice promotes chiral spin fluctuations
• Planar Topological Hall Effect from Conical Spin Spirals
• Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials
• Large unconventional anomalous Hall effect far above room temperature in epitaxial Fe${}_3$Ga${}_4$ films