Materials physics in ferromagnetic semiconductors Materials physics in ferromagnetic semiconductors and AMR effects in and AMR effects in GaMnAs GaMnAs nanostructures nanostructures Tomáš Jungwirth Institute of Physics ASCR František Máca, Jan Mašek, Jan Kučera Josef Kudrnovský, Alexander Shick Karel Výborný, Jan Zemen, Vít Novák, Miroslav Cukr, Kamil Olejník, et al. University of Nottingham Bryan Gallagher, Tom Foxon, Richard Campion, Kevin Edmonds, Andrew Rushforth, Devin Giddings et al. Hitachi Cambridge UT & Texas A&M Würzburg SNS Pisa Jorg Wunderlich Allan MacDonald,Jairo Sinova Laurens Molenkamp, Marco Polini David Williams Quian Niu Charles Gold et al. in collaboration with
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Materials physics in ferromagnetic semiconductorsMaterials physics in ferromagnetic semiconductorsand AMR effects in and AMR effects in GaMnAsGaMnAs nanostructuresnanostructures
Tomáš Jungwirth
Institute of Physics ASCR
František Máca, Jan Mašek, Jan KučeraJosef Kudrnovský, Alexander Shick
Karel Výborný, Jan Zemen,Vít Novák, Miroslav Cukr, Kamil Olejník, et al.
University of Nottingham
Bryan Gallagher, Tom Foxon,Richard Campion, Kevin Edmonds,
Andrew Rushforth, Devin Giddings et al.
Hitachi Cambridge UT & Texas A&M Würzburg SNS Pisa
Jorg Wunderlich Allan MacDonald,Jairo Sinova Laurens Molenkamp, Marco PoliniDavid Williams Quian Niu Charles Gold et al.
QQ00==--(n+1/2)e(n+1/2)e →→ openopenn-1 n n+1 n+2n-1 n n+1 n+2
ΔEC
QQindind = = nnee
QQindind = (= (n+1/2)n+1/2)eeQ0
Q0
e2/2CΣ
chemical potential depends on MrSpin-orbit coupling →→
If lead and dot differentIf lead and dot different(different carrier concentrations in our (Ga,Mn)As SET)
∫ −=+=Q
0DL
'D
' )M()M()M(&e
)M(Q)Q(VdQUrrr
r
μμμΔμΔ
GMMGG0
20
CC
e)M(V&)]M(VV[CQ&
C2)QQ(U Σ
Σ
μΔr
r=+=
+=
electric && magneticmagneticcontrol of Coulomb blockade oscillations
•• CBAMR if change of |CBAMR if change of |ΔμΔμ((MM)| ~ )| ~ ee22//22CCΣΣ
occurs when anisotropy of band-structure derived parameter comparable to independent energy scale (single-electron charging) → distinct from all other AMRs
•• In (In (Ga,Mn)AsGa,Mn)As ~ ~ meVmeV (~ 10 Kelvin)(~ 10 Kelvin)
•• In roomIn room--T T ferromagnetferromagnet change of change of ||ΔμΔμ((MM)|~100K )|~100K