The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space

By Z. Fang, N. Nagaosa, Kei S. Takahashi, A. Asamitsu, R. Mathieu, T. Ogasawara, H. Yamada, M. Kawasaki, Y. Tokura, K. Terakura. Science, 2003

848 citations recorded by the source corpus.

Efforts to find the magnetic monopole in real space have been made in cosmic rays and in particle accelerators, but there has not yet been any firm evidence for its existence because of its very heavy mass, ∼1016 giga–electron volts. We show that the magnetic monopole can appear in the crystal momentum space of solids in the accessible low-energy region (∼0.1 to 1 electron volts) in the context of the anomalous Hall effect. We report experimental results together with first-principles calculations on the ferromagnetic crystal SrRuO3 that provide evidence for the magnetic monopole in the crystal momentum space.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geophysics

View Paper: https://www.semanticscholar.org/paper/0d6547a31b7e9b9d713e6b33d455a3056582c1ec

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Ashvin Vishwanath
2. D. Vanderbilt
3. Claudia Felser
4. N. P. Armitage
5. E. Mele
6. N. Nagaosa
7. X. Dai
8. Z. Fang

In Condensed Matter Physics

1. Ashvin Vishwanath
2. D. Vanderbilt
3. J. Sinova
4. N. P. Armitage
5. X. Dai
6. H. Weng
7. Z. Fang
8. T. Jungwirth

In Geophysics

1. Nicola Marzari
2. D. Vanderbilt

Citations in the corpus

• Weyl and Dirac semimetals in three-dimensional solids (2017, background): “The fact that diabolic points are monopoles of Berry curvature and could influence the Hall effect in ferromagnets was emphasized in (Fang et al., 2003; Nagaosa et al., 2010).”
• Geometrodynamics of spinning light (2008, background): “The gradient-index approximation and the first equation (5) are inapplicable in this case, because rn 1⁄41 at the surface.”
• Spin-dependent phenomena and device concepts explored in (Ga,Mn)As (2013, background): “…1958; Onoda and Nagaosa, 2002), have been successfully applied to explain the effect in other itinerant ferromagnets (Dugaev et al., 2005; Fang et al., 2003; Haldane, 2004; Kötzler and Gil, 2005; Lee et al., 2004; Sinitsyn et al., 2005; Yao et al., 2004), including conventional…”