Three types of semiconductors: (a) nonmagnetic
semiconductor, which contains no magnetic ions; (b) diluted magnetic
semiconductor (DMS), i.e., a cross between a nonmagnetic semiconductor
and a magnetic transition-metal (TM) element, in a paramagnetic
state; (c) DMS with ferromagnetic order mediated by charge carriers
(holes).
Spin and Charge in Dilute Magnetic Semiconductors
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Mn-doped GaAs, in which the Mn dopant provides both a magnetic moment
and a spin-polarized charge carrier, has attracted considerable interest
as spintronics material. However, the microscopic picture of magnetism
and magnetic anisotropy (direction dependence of the magnetic properties)
in this system is still hotly disputed. Are the Mn states localized,
strongly hybridized with the GaAs valence band, or do they form a
separate impurity band? To further understand this system, researchers
used x-ray absorption spectroscopy (XAS) and XMCD to study (Ga,Mn)As
samples. XAS measures excitation from the Mn 2p to 3d
levels, thus probing the unoccupied valence states with Mn 3d
character. XMCD measures the difference (dichroism) between absorption
spectra obtained with opposite alignments of the sample magnetization
direction and x-ray helicity vector.
XAS and XMCD spectra measured along two directions—[111]
and [001]—show pronounced differences. Detailed study of the
angular dependence illustrates that almost all spectral features,
including pre-edge feature A (peak A), exhibit
cubic symmetry about the crystalline axes. Only the pre-edge feature
B (peak B) shows a gradual increase going from
out-of-plane to in-plane magnetization in both the (100) and (110)
planes—i.e., uniaxial symmetry.
In annealed (Ga,Mn)As, Mn occupies Ga sites with tetrahedral symmetry.
However, the (Ga,Mn)As/GaAs(001) films are placed under compressive
strain, breaking the symmetry between in-plane and out-of-plane
directions. This leads to a large uniaxial magnetic anisotropy.
Thus, while almost all spectral features share the cubic symmetry
of the Mn site, peak B reflects uniaxial symmetry of the
strain field.

Top: Mn L2,3 absorption spectra
for parallel and antiparallel alignment of polarization and magnetization
when the magnetization is aligned along the [001] (black) and
[111] (green) directions. Bottom: XMCD spectra for magnetization
along [001] (black) and [111] (green). The pronounced differences
between the absorption spectra and the observed anisotropy in
the pre-edge features in the XMCD signal (shown in the inset)
are most remarkable.
To determine the origin of peak B, the researchers compared
experimental results to atomic multiplet calculations, which reproduce
almost all of the multiplet structure of the Mn L2,3
XMCD and correctly predict the angular dependence of those features,
with one notable exception. The calculated spectra only show a single
peak in the pre-edge region, peak A. Peak B in
the experimental spectrum is not reproduced by the atomic calculation,
so it must be of a different origin. Studying the size of peak B
versus hole concentration, ρ,
obtained from Hall measurements, shows a clear correlation, with
peak B becoming more negative with increasing ρ.
The intensity of peak B is thus dependent on the Fermi
level position (level of the least tightly held electrons), indicating
that this feature corresponds to transitions to states at or just
above Fermi energy (EF).

Dependence of the XMCD signal of spectral features
A and B on the out-of-plane (001) angle θ.
Open circles represent the angular dependence in the (110) plane,
solid symbols indicate the results for the (100) plane. Dashed
lines show the angular dependence expected in cubic (uniaxial)
anisotropy. At right is the dependence of the pre-edge features
in Mn L2,3 XMCD spectra on the hole density
obtained from Hall measurements.
The uniaxial anisotropy and the correlation with hole density indicate
peak B is due to hybridization of Mn d states
with strain-split GaAs valence states at EF.
The results are clear evidence of a small, but finite, density of
unoccupied Mn d states close to EF.
Thus, both localized atomic-like states lying far above the Fermi
level and Mn 3d states strongly hybridized with the valence
bands of the GaAs host are observed. The ability to separately resolve
localized and hybridized d states makes angle-dependent
XMCD a powerful method for determining the electronic structure
of magnetic semiconductors.
Research conducted by K.W. Edmonds, A.A. Freeman, N.R.S. Farley,
R.P. Campion, C.T. Foxon, and B.L. Gallagher (University of Nottingham,
UK); G. van der Laan and T.K. Johal (Daresbury Laboratory, UK),
and E. Arenholz (ALS).
Research funding: U.K. Engineering and Physical Sciences Research
Council, U.K. Council for the Central Laboratory of the Research
Councils, Royal Society, and U.S. Department of Energy, Office of
Basic Energy Sciences (BES). Operation of the ALS is supported by
BES.
Publication about this research: K.W. Edmonds, G. van der Laan,
A.A. Freeman, N.R.S. Farley, T.K. Johal, R.P. Campion, C.T. Foxon,
B.L. Gallagher, and E. Arenholz, "Angle-dependent x-ray magnetic
circular dichroism from (Ga,Mn)As: Anisotropy and identification
of hybridized states," Phys. Rev. Lett. 96,
117207 (2006). |