Transcript Slide 1
Spintronic transistors: magnetic anisotropy and direct charge
depletion concepts
Tomas Jungwirth
Institute of Physics ASCR
Alexander Shick, Karel Výborný, Jan Zemen,
Jan Masek, Vít Novák, Kamil Olejník, et al.
Hitachi Cambridge, Univ. Cambridge
Jorg Wunderlich, Andrew Irvine, David Williams,
Elisa de Ranieri, Byonguk Park, Sam Owen, et al.
University of Nottingham
Bryan Gallagher, Tom Foxon,
Richard Campion, Kevin Edmonds,
Andrew Rushforth, et al.
Texas A&M
Jairo Sinova, et al.
University of Texas
Allan MaDonald, et al.
Electric field controlled spintronics
HDD, MRAM
STT MRAM
Spintronic Transistor
controlled by
Magnetic field
spin-polarized
charge current
Low-V 3-terminal
devices
1) indirect via magnetic anisotropy
2) direct charge depletion effects
AMR
TMR
parallel state
FM exchange int.:
Spin-orbit int.:
M
~ vg (M vs. I )
antiparallel state
TAMR
TDOS(M )
Au
FM exchange int.:
TDOS() TDOS()
Discovered in GaMnAs Gould et al. PRL’04
Bias-dependent magnitude and sign of TAMR
Shick et al PRB ’06, Parkin et al PRL ‘07, Park et al PRL '08
ab intio theory
TAMR is generic to SO-coupled FMs
Park et al PRL '08
experiment
Optimizing TAMR in transition-metal structures
spontaneous moment
Consider uncommon TM combinations
e.g. Mn/W voltage-dependent upto ~100% TAMR
Shick, et al PRB ‘08
Devices utilizing M-dependent electro-chemical potentials: FM SET
[110]
[010]
M
Source
Drain
Gate
VG
[100]
[110]
Q VD
[010]
SO-coupling (M)
~ mV in GaMnAs
~ 10mV in FePt
(Q Q0 ) 2
U
& Q0 CG [VG VM ( M )]
2C
( M ) C
& VM
e
CG electric & magnetic
control of CB oscillations
Wunderlich et al, PRL '06
(Ga,Mn)As nano-constriction SET
CB oscillations shifted by changing M
(CBAMR)
Electric-gate controlled magnitude and sign of
magnetoresistance spintronic transistor
&
Magnetization controlled transistor characteristic
(p or n-type) programmable logic
Ferromagnetic semiconductor GaAs:Mn
DOS
spin
Exchange-split, SOcoupled, & itinerant holes
EF
<< 1% Mn
~1% Mn
>2% Mn
Energy
spin
onset of ferromagnetism near MIT
As-p-like holes localized on Mn acceptors
valence band As-p-like holes
- random dilute moment FM
difficult to achieve high Tc
Ga
As-p-like holes
Mn
- intrinsically very disordered
system
- heavily-doped SC
difficult to grow and gate
Mn-d-like local
moments
Mn
As
FM & transport in the disordered GaMnAs DMS
Ordered magnetic semiconductors
Disordered DMSs
Eu - chalcogenides
Sharp critical contribution to resistivity
at Tc ~ magnetic susceptibility
Broad peak near Tc and disappeares
with annealing (higher uniformity)
Scattering off correlated spin-fluctuations
Fisher&Langer, PRL‘68
2
(T ) ~ ( Ri , T ) ~ J pd [ Si S0 Si S0 ]
singular (F
d ) ~
(F ~ d ) ~ U
singular
d / dT ~ dU / dT cv
Ni, Fe
Eu0.95Cd0.05S
Tc
In GaMnAs F~d- sharp singularity at Tc in d/dT
Annealing sequence
Optimized GaMnAs materials with x~4-12%
and Tc~80-185K: very well behaved FMs
Novak et al., PRL ‚08
Low-voltage gating of the highly doped (Ga,Mn)As
10’s-100’s Volts in conventional MOS FETs
p-n junction FET
Ohno et al. Nature ’00, APL ‘06
p-n junction depletion simulations
2x 1019 cm-3
~25-50% depletion feasible at low voltages
Owen, et al. arXiv:0807.0906
Complete spintronic FET characteristics
Tc
Tc
Magnetization switching
by short low-Vg pulses
depletion/accumulation & high-frequency
studies of DMS materials and spintronics
Due to voltage-controlled
Kc and Ku anisotropies
-1V
+3 V
semiquantitative microscpic
theory understanding
Conclusion
1) Studies in GaMnAs suggest new generic approaches to
electric field controlled spintronics via magnetic anisotropies
- TAMR
- CBAMR
2) Optimized GaMnAs is excellent itinerant FM; low-voltage
charge depletion effects on electric&magnetic properties
demonstrated in all-semiconductor p-n junction transistor
- d/dT singularity at Tc
- GaMnAs junction FET
Tc
(Ga,Mn)As growth
high-T growth
optimal-T growth
Low-T MBE to avoid precipitation & high enough T to maintain 2D growth
need to optimize T & stoichiometry for each Mn-doping
Detrimental interstitial AF-coupled Mn-donors
need to anneal out (Tc can increase by more than 100K)
Annealing also needs to be optimized for each Mn-doping
No indication for reaching technological or
physical Tc limit in (Ga,Mn)As yet
Tc up to 187 K at 12% Mn doping
Novak et al. PRL ‘08
180
160
2005
Growth & post-growth
optimized GaMnAs films
140
120
1998
TC(K)
100
80
60
40
20
0
0
1
2
3
4
5
6
Mntotal(%)
7
8
9
10
Other (III,Mn)V’s DMSs
Kudrnovsky et al. PRB 07
Weak hybrid.
Mean-field but
low TcMF
InSb
Strong hybrid.
Large TcMF but
low stiffness
GaP
GaAs seems close to the optimal III-V host
Delocalized holes
long-range coupl.
d5
Impurity-band holes
short-range coupl.
coupling strength / Fermi energy
Magnetism in systems with coupled dilute moments
and delocalized band electrons
band-electron density / local-moment density
Jungwirth et al, RMP '06
Other DMS candidates
III = I + II Ga = Li + Zn
GaAs and LiZnAs are twin SC
(Ga,Mn)As and Li(Zn,Mn)As
should be twin ferromagnetic SC
But Mn isovalent in Li(Zn,Mn)As
Masek et al. PRL 07
no Mn concentration limit and self-compensation
possibly both p-type and n-type ferromagnetic SC
(Li / Zn stoichiometry)
Sharp d/dT singularity in GaMnAs at Tc – consistent with F~d-
Novak, et al. PRL‘08
Strong spin-orbit coupling favorable for spintronics
Ga
Mn
As
Mn
As-p-like holes
H SO
eS p 1 dV (r )
r
Beff
S L
mc mc er dr
V
s
Beff
Strong SO due to the As p-shell (L=1) character of the top of the valence band
p