First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe.

By Yugui Yao, L. Kleinman, Allan H. MacDonald, J. Sinova, T. Jungwirth, Ding-sheng Wang, E. Wang, Q. Niu. Physical Review Letters, 2003

609 citations recorded by the source corpus.

We perform a first principles calculation of the anomalous Hall effect in ferromagnetic bcc Fe. Our theory identifies an intrinsic contribution to the anomalous Hall conductivity and relates it to the k-space Berry phase of occupied Bloch states. This dc conductivity has the same origin as the well-known magneto-optical effect, and our result accounts for experimental measurement on Fe crystals with no adjustable parameters.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/66238a85d210f72167884af314fb014a23393d3c

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. D. Vanderbilt
2. J. Sinova
3. Di Xiao
4. N. Nagaosa
5. Q. Niu
6. T. Jungwirth
7. M. Chang
8. Ivo Souza

In Materials Chemistry

1. Di Xiao
2. N. Nagaosa
3. D. Vanderbilt
4. Q. Niu
5. J. Sinova
6. M. Chang
7. Claudia Felser
8. Allan H. MacDonald

Citations in the corpus

• Anomalous hall effect (2009, background): “Detailed first-principles calculations of the intrinsic contribution to the AHE conductivity have been performed for bcc Fe (Wang et al., 2006; Yao et al., 2004), fcc Ni, and hpc Co (Wang et al., 2007).”
• Large anomalous Hall effect driven by a nonvanishing Berry curvature in the noncolinear antiferromagnet Mn3Ge (2015, background): “ld parallel to [2-1-10] displays a tiny spontaneous magnetization of 0.005 µ B/Mn at 2 K (Fig. 3). The zero field moment is slightly larger (0.006 µ B/Mn at 2 K) when the field is applied parallel to [01, 2, 3, 4, 5, 6, 7, 8, 9, 10]. An extremely soft magnetic behavior is found in both cases with co”
• Maximally-localized Wannier Functions: Theory and Applications (2011, methodology): “(111) The AHC of bcc Fe and SrRuO3 was evaluated from the previous two equations by Yao et al. (2004) and Fang et al. (2003) respectively.”
• Berry phase effects on electronic properties (2009, methodology): “It has been used to evaluate the Berry curvature in crystals with the eigenfunctions supplied from first-principles calculations (Fang et al., 2003; Yao et al., 2004).”