Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space

Details Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space

2004-05-27

arxiv.org/abs/cond-mat/0405634v2

J. Phys. Soc. Jpn. 73, 2624 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure, REVTeX

Scientific paper

10.1143/JPSJ.73.2624

We study the anomalous Hall effect (AHE) for the double exchange model with the exchange coupling $|J_H|$ being smaller than the bandwidth $|t|$ for the purpose of clarifying the following unresolved and confusing issues: (i) the effect of the underlying lattice structure, (ii) the relation between AHE and the skyrmion number, (iii) the duality between real and momentum spaces, and (iv) the role of the disorder scatterings; which is more essential, $\sigma_H$ (Hall conductivity) or $\rho_H$ (Hall resistivity)? Starting from a generic expression for $\sigma_H$, we resolve all these issues and classify the regimes in the parameter space of $J_H \tau$ ($\tau$: elastic-scattering time), and $\lambda_{s}$ (length scale of spin texture). There are two distinct mechanisms of AHE; one is characterized by the real-space skyrmion-number, and the other by momentum-space skyrmion-density at the Fermi level, which work in different regimes of the parameter space.

Affiliated with

Also associated with

No associations

Rating

Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269893