Topological Hall Effect and Berry Phase in Magnetic Nanostructures

2003/10/22 by P. Bruno, V. K. Dugaev, Mathieu Taillefumier +1 · 3 citations
Physics and Astronomy · #Magnetic properties of thin films #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.93.096806

5 pages with 4 figures

arxiv created 2003/10/22 · openalex publication_date 2004/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect does not require any spin-orbit coupling and arises solely from Berry phase acquired by an electron moving in a smoothly varying magnetization. We propose an experiment with a structure containing 2D electrons or holes of diluted magnetic semiconductor subject to the stray field of a lattice of magnetic nanocylinders. The striking behavior predicted for such a system (of which all relevant parameters are well known) allows one to observe unambiguously the topological Hall effect and to distinguish it from other mechanisms.

Citations

• Chirality driven anomalous Hall effect in weak coupling regime
• Side-Jump Mechanism for the Hall Effect of Ferromagnets
• Quantal phase factors accompanying adiabatic changes
• Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation

Cited by

• Control of the geometric phase and pseudospin dynamics on coupled Bose-Einstein condensates
• Hydrodynamic theory of coupled current and magnetization dynamics in spin-textured ferromagnets
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction