Scaling of the anomalous Hall effect in the insulating regime

0375399 - FZÚ 2012 RIV US eng J - Journal Article
Liu, X.-J. - Liu, X. - Sinova, Jairo
Scaling of the anomalous Hall effect in the insulating regime.
Physical Review. B. Roč. 84, č. 16 (2011), 165304/1-165304/11. ISSN 1098-0121
Institutional research plan: CEZ:AV0Z10100521
Keywords : disordred-systems * impurity conduction * percolation
Subject RIV: BM - Solid Matter Physics ; Magnetism
Impact factor: 3.691, year: 2011
http://link.aps.org/doi/10.1103/PhysRevB.84.165304

We develope the theory of the scaling of the anomalous Hall effect (AHE) in the insulating regime, which is observed in experiments to relate the anomalous Hall and diagonal conductivities by sigma(AH)(xy) proportional to sigma(1.40 similar to 1.75)(xx) for a large range of materials. This scaling is qualitatively different from that observed in metals. Basing our theory on the phonon-assisted hopping mechanism and percolation theory in random networks, we derive a general formula for the anomalous Hall conductivity, in which the percolation theory averaging of the random-linked triad clusters is a key aspect that captures the correct observed physics.
Permanent Link: http://hdl.handle.net/11104/0208062