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Quantized anomalous Hall effect in two-dimensional ferromagnets: quantum Hall effect in metals.
1Correlated Electron Research Center (CERC), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 4, Tsukuba 305-8562, Japan. m.onoda@aist.go.jp
Physical Review Letters
|June 6, 2003
Summary
Disorder in two-dimensional ferromagnets influences the anomalous Hall effect (AHE). Pruisken
Area of Science:
- Condensed matter physics
- Materials science
Background:
- The anomalous Hall effect (AHE) in two-dimensional ferromagnets is influenced by disorder.
- Topological properties of AHE can lead to quantum Hall effects in metallic systems.
Purpose of the Study:
- To investigate the impact of disorder on the anomalous Hall effect in 2D ferromagnets.
- To determine the conditions for quantized AHE in systems with complex band structures.
Main Methods:
- Numerical simulations on a model system.
- Analysis of Pruisken's two-parameter scaling theory.
Main Results:
- Pruisken's scaling theory remains valid even in gapped systems with overlapping multibands and no external magnetic field.
- The condition for quantized AHE is determined solely by Hall conductivity, without quantum corrections.
Conclusions:
- Disorder plays a crucial role in the quantized anomalous Hall effect.
- The quantized AHE condition is simplified to |sigma(xy)| > e^2/(2h).