Anomalous Hall effect in thet2gorbital kagome lattice due to noncollinearity: Significance of the orbital Aharonov-Bohm effect

2009/01/31 by Takeshi Tomizawa, Hiroshi Kontani · 1 citation
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Multiferroics and related materials #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.80.100401

published as Phys. Rev. B 80, 100401(R) (2009) · 5 pages

openalex publication_date 2009/09/09 · arxiv created 2009/09/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the d-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the complex d-orbital wave function, in the presence of noncollinear spin structure and the spin-orbit interaction. The AHE driven by this orbital-derived Berry phase is much larger than the AHE induced by spin chirality, and it naturally explains the salient features of spin structure-driven AHE in pyrochlore Nd₂Mo₂O₇. Since the proposed AHE can occur even for coplanar spin orders (M_z=0), it is expected to emerge in other interesting geometrically frustrated systems.

Citations

• Chirality driven anomalous Hall effect in weak coupling regime

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• Quantum anomalous Hall states in thep-orbital honeycomb optical lattices

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