The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space

  title={The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space},
  author={Zhong Fang and Naoto Nagaosa and K. S. Takahashi and Atsushi Asamitsu and Roland Mathieu and Takeshi Ogasawara and Hideji Yamada and Masashi Kawasaki and Yoshinori Tokura and Kiyoyuki Terakura},
  pages={92 - 95}
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… 

Gauge fields in real and momentum spaces in magnets: monopoles and skyrmions

  • N. NagaosaX. Z. YuY. Tokura
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2012
A few examples recently studied related to these issues with some new results on skyrmion formation are discussed, including the Hall effect produced by the spontaneous magnetization combined with the relativistic spin–orbit interaction.

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