Skyrmion Strings and Anomalous Hall Effect in Double Exchange Systems

Abstract

We perform Monte Carlo simulations to obtain quantitative results for the anomalous Hall resistance, R_A, observed in colossal magnetoresistance manganites. R_A arises from the interaction between the spin magnetization and topological defects via spin-orbit coupling. We study these defects and how they are affected by the spin-orbit coupling within the framework of the double exchange model. The obtained anomalous Hall resistance is, in sign, order of magnitude and shape, in agreement with experimental data.

4 pages including 3 figures

References in corpus (3)

• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Magnetotransport in manganites and the role of quantal phases II: Experiment
• Overlooked Contribution to the Hall Effect in Ferromagnetic Metals

Cited by in corpus (13)

• Giant topological Hall effect in correlated oxide thin films
• Skyrmion strings and the anomalous Hall effect in CrO${}_2$
• Coupled quasimonopoles in chiral magnets
• Double-Exchange Interaction in Optically Induced Nonequilibrium State: A Conversion from Ferromagnetic to Antiferromagnetic Structure
• Quantum Anomalous Hall effect in graphene coupled to skyrmions
• Berry's phase contribution to the anomalous Hall effect of gadolinium
• Topological Hall Effect and Skyrmion-like Bubbles at a Charge-transfer Interface
• Diversity of states in a chiral magnet nanocylinder
• Spin-orbit effects surfacing on manganites
• Magnetic Skyrmionic Polarons
• Quantum Internal Structure of Plasmons
• Multifunctional Oxides for Topological Magnetic Textures by Design
• Double-Exchange Model on Triangle Chain