1
Charge, Spin, and Heat Transport in the Proximity of Metal/Ferromagnet Interface
Ssu-Yen Huang
National Taiwan University Johns Hopkins University
1 2 2
Introduction
1G and 2G Spintronic devices
Spin current
Spin Hall effect
Spin Seebeck Effect (SSE)
• Entangled with anomalous Nernst effect (ANE)
• Intrinsic spin-dependent thermal transport
• Entangled with magnetic proximity effect (MPE)
• Intrinsic Spin Seebeck effect
New MR by MPE (or Spin Hall MR)
Summary
Outline
3
G-kW-h
5% of total electrical power
Power Consumption of Information Technology
Refreshing in “off” state
Monumental problem METI / Green IT Promotion Council (2008) E. Pop, Nano Res 3, 147 (2010)
20%
4
IC Power density approaches that of nuclear reactor S. Borkar, Intel
Can spin provide a solution ?
1. High efficiency devices 2. Reduction of heat
dissipation
5
Electronics
In the beginning, there was only electronics……..
Charge
Spin
6
Giant Magnetoresistance (GMR)
(1988*)Tunnel Magnetoresistance (TMR)
(1995)Spin Transfer Torque (STT)
(1996, 2000)Grünberg/Fert
*2007 Nobel
Areal Density Spintronics
GMR AMR
Spin-valve read-head
Three important discoveries in Spintronics
10+9 increase in density 10-8 reduction in cost 10+12 bits/in2
7 metal
FM1 FM2
Field (1G) Devices
“0” “1”
Reference Storage
Spin-dependent scattering
Spin-selective tunneling
P AP
Low R High R
FM1 FM2 insulator
GMR TMR
Field Sensing & Non-Volatile Storage free
fixed
Spintronic GMR and TMR Devices
8 word / sense lines high R
low R Magnetic Tunnel Junction (MTJ)
Read Write
“1”
“0”
Advantages:
Non-volatile memory Short access time Low power consumption
Key Challenges: High density Eliminate field writing
Universal memory: speed as SRAM, density as DRAM, rewritability as flash Non-Volatile Storage: Magnetic Random Access Memory
(MRAM)
9
electrical current affects magnetic configurations
I
e- Incident electron
M
transmitted
reflected
Large M: spin polarizer Small M: M can be rotated
torque sin
without a magnetic field
Slonczewski, JMMM 159, L1 (1996)
Berger, PR B 54, 9353 (1996), JAP 57, 1266 (1984), JAP 49, 2156 (1978) Waintal et al., PRB 62, 12317 (2000)
Spin transfer torque
10
(1G) Field Devices
“0” “1”
Reference Storage
P AP
Low R High R
(2G) Current (STT )Devices
I > IC
Field Sensing
& Non-Volatile Storage
Requires very large jc > 106 A/cm2 !!
What are new Spintronic Effects for 3G devices?
1G and 2G Spintronic Devices
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Integer quantum Hall effect (von Klitzing, Nobel 1985) Fractional quantum Hall effect
(Stormer, Tsui, Laughlin, Nobel 1998) Spin Hall effect
Inverse spin Hall effect Magnon Hall effect Topological Hall effect maybe more…
Ordinary Hall effect (E. H. Hall, 1879)
Anomalous Hall effect (E. H. Hall, 1880)
Various Hall effects
x z y
Edwin Hall (1879, 1880) A student of Henry Rowland @ JHU
V
x:
Hall Effectj
ej
eB ( or M
)
Vy
Vy
Charge, Spin, Thermal Transport in thin films
T
x:
Nernst Effect Walther NernstE VB
T
x T
x12 12
13
Spin-Orbit Coupling Lorentz Force
1879 1880 2004
Only Charge Charge + Spin Only Spin
Detect by voltage Detect by voltage Why? Detect by what ?
Definite Sign q(v B) Definite Axis but Not Definite Sign AHE can be either sign SHE can be either sign
(Nagaosa et al.,)
Hall effect Anomalous Hall effect Spin Hall effect
F=q (E+ VB)
14
+ nucleus
E B
electron -
Electron frame
“sees” B field with gradient
The mechanism of SHE
Spin-Orbit Coupling
15 15
Direct Spin Hall
Charge Current
Transverse Spin Imbalance (measured by what ?)
Spin Dependent Scattering
ISHE in Pt detects pure spin current Inverse Spin Hall
Spin Current
Transverse Charge Imbalance (measured by side voltage)
Direct Spin Hall vs. Inverse Spin Hall effects
How to detect ? 16
Charge current pure spin accumulation
Optical observation SHE in semiconductors
(Optical) Observation of Spin Hall effect
Kato et. al. Science 306, 1910 (2004)
17
Spin Caloritronics
Electronics Charge
Spin Heat
Spin Calortronics
Spin Seebeck effect
18
Spin Seebeck Effect
T S
V
18
T S Vspin spin
K. Uchida et al., Nature, 455, 778, (2008).
) )(
( S S T
j j
js
How to detect JS ? v
T Jc=0
Metals, insulator, or semiconductors
T Jc=0 Js0
Ferromagnetic metals
up down
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Detection of Spin Current by Inverse Spin Hall Effect ISHE in Pt (spin–orbit scattering) converts a spin current into an electromotive force ESHE
SHE ISHE S
y E D J
E
K. Uchida et al., Nature, 455, 778, (2008). 19
Asymmetric in H Sign change
Proportional to T Cold side Hot side
20
8 mm 4 mm
K. Uchida et al., Nature 455, 778 (2008); Nature Mater. 9,894 (2010); Kajiwara et al., Nature 464, 262 (2010)
Long transmission of Spin Current
6 mm 4 mm
Mystery 2: spin current (mm’s >> spin diffusion length) without dissipation ?
Mystery 1:
Conduction-electron spin current
Spin-wave spin current
20
Sign change Asymmetric in H
FM insulators FM metals
?
C. M. Jaworski et al., Nature Materials, 9, 898 (2010) 21
Spin Seebeck effect in broken FM semiconductors
21
Revision
2 : magnon-phonon drag through substrate
Where is intrinsic SSE?Adachi et al., APL 97, 252506 (2010) Jaworski et al., PRL 106, 186601 (2011) GaMnAs/GaAs Transmission of spin currents ?
)
tanh(2 ) ( )
(
sd sd SH p m th
t t t
T T G t
E
22 22
j
sV
FM insulator
Pt
m
SSE in FM Insulator SSE in FM Metal, Insulator
intentional vertical zT x
z y
xT FM metal
intentional in-plane xT
j
sm V
PtFM Metal
Transverse configuration
(xT)Longitudinal configuration
(zT)Transverse (xT)and Longitudinal (zT) Spin Seebeck
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Pt
Pt
Uchida et al., Nature 455, 778 (2008)
Uchida et al., Nat. Mater 9, 894 (2010)
Jaworski et al., Nat. Mater 9, 898 (2010)
Pt strip and in-plane temperature gradient xT indicated
Pt strip detects j
SIn-plane
xT24
FM
T in-plane Huang, Wang, Lee, Kwo, and Chien,
“Intrinsic spin-dependent thermal transport,” PRL 107, 216604 (2011)
.
Intrinsic Caloritronic effect (not substrate dominated) ?
H
Intrinsic spin Seebeck effect ?
Pt
v
Intrinsic spin-dependent thermal transport ?
v
24
25
Create in-plane gradient xT
v v
Hot Cold
v
Higher T Lower T
Heat flow θ
H
θ H 1 2 3 4 5
1 2 3 4 5 Py
26
V sin
Asymmetric in H
Consistent, Robust, but Strange
Vth(H,
) ResultsH=2000 Oe
26
H Py H
Py
xT xT
e.g., opposite signals at = 90° and = 270°.
Py/Si
But this is physically impossible !
27
T must be out-of-plane !xT xT
xT
H=2000 Oe H=2000 Oe
Reversed
T, Same
V !!28
This is anomalous Nernst effect with perpendicular
zT !!Sign change No sign change
zT m
(Top view) Transverse geometry, Vy
Out-of-plane
zT!!Only
zT !!Uniform Heating from substrate
29
Same ANE sign and value everywhere
In the transverse configuration (xT) : where does zT come from?
zT
30
Thin film on substrate: in-plane and out-of-plane gradient
xT
zT due to substrate FM
intentional in-plane xT
m
Anomalous Nernst effect: sensitive detector of zand zT EANE zT
m
substrate
30
31
What causes out-of-plane gradient zT ?
Thermal conduction through substrate overwhelms!
Resistivity (Ωcm) > 1 >1 5x10-6 10-6
Thermal conductivity 125 56 30 80 (W/m-K)
32
Substrate (104 x thicker)
Substrate (104 x thicker) Electrically Insulating Not thermally Insulating
V- Electrical
V+ Electrical Current exclusively in-plane
T+ T- Thermal Heat Current NOT exclusively in-plane Electric Current vs. Heat Current
33
Entanglement of ANE (due to zT) and SSE (due to xT)
Both along y
VANE and (VSSE )Pt
additive
, both are asymmetric inm (or H)
(ESSE )Pt
j
s m
xT
Pt
v j
sSpin Seebeck Effect (SSE)
FM
m
x z y
EANE zT
m
FM
v
Anomalous Nernst Effect (ANE)
m
In transverse configuration: SSE and ANE are entangled
33 S. Y. Huang et. al, Phys. Rev. Lett. 107, 216604 (2011)
xT
sensitive detector of zand zT
104 x thicker !!
34
substrate FM
m
xT
v
Planar Nernst Effect (Transverse)v
Thermal AMR (Longitudinal)
Substrate-Free sample (
xTonly)
Removal of out-of-plane gradient (zT)
35 Longitudinal voltage:
thermal AMR
Intrinsic spin transport properties with in-plane xT
Symmetric in H by using a substrate free sample
Transverse voltage:
Planar Nernst effect sin2M
Necessary Signatures of FM film with in-plane xT ! Vth = Vth + (Vth -Vth||)cos2M
cos2M
sin2M
36 36
j
sV
FM insulator
Pt
m
SSE in FM Insulator SSE in FM Metal
intentional vertical zT x
z y
xT FM metal
intentional in-plane xT
j
sm V
PtFM Metal
Transverse configuration SSE + ANE
Longitudinal configuration SSE
Spin Seebec effects with in-plane xTand out-of-plane zT
PRB 83, 224401 (2011), PRL 109, 196602 (2012), PRL 111, 187201 (2013), PRB 88, 064410 (2013), PRB 88 214304 (2013), PRB 88, 184425 (2013), and etc.
Substrate-free limit No strong evidence of SSE
Metals (Cu, Py, Pt) on Insulators (Si, YIG)
Ferromagnetic Insulator:
YIG (Y3Fe5O12) Hall
Line
YIG -2000 -1000 0 1000 2000
-1.0 -0.5 0.0 0.5 1.0
HT Hll
M/MS
H(Oe) H
Huang et al., Phys. Rev. Lett., 109, 107204 (2012) shape anisotropy
37
H
HT
H
Pt/Si Non-magnetic
Pt: Magnetic Proximity effects
Cu/YIG Non-magnetic
Pt/YIG AMR ! Ferromagnetic !
cos2
-1000 -500 0 500 1000
411.215 411.220 411.225 425.89 425.90 425.91
H (Oe) II
Pt (10nm)/Si
R Cu (10nm)/YIG
M/Ms
Pt/YIG vs. Pt/Si
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Thickness dependence of AMR in Py/YIG & Pt/YIG
Pt/YIG and Py has opposite t dependence
1 10
0 1 2 3
20
t (nm)
Py(t)/YIG
Pt(t)/YIG
YIG
39 39
QuickTime?and a decompressor are needed to see this picture.
New MR 0 at large t New MR increases at small t
QuickTime?and a decompressor are needed to see this picture.
AMR ≈ constant at large t AMR 0 at small t
All moments contribute Magnetic Proximity effect Moments near interface contribute
AMR vs. New MR
Anomalous Hall Effect in Pt/YIG
-100 -50 0 50 100
-0.002 -0.001 0.000 0.001 0.002
H (kOe) 100K50K 250K 300K 5K
RAHE()
2K
0 50 100 150 200 250 300
-0.001 0.000 0.001 0.002
R
AHE( )
T(K)
Pt (10nm)/YIG
xy = ROB VH
I BZ
MZ
x z y
+ RS4M
41
FM
41
-100 -50 0 50 100
-0.02 -0.01 0.00 0.01 0.02
Pt (10nm)/YIG
RH()
300 K 250 K 100 K 50 K 5 K 2 K
H (kOe)
Thermal voltages in Pt/YIG and Pt/Si (Hall samples)
Thermal voltage New MR Share H dependence
T = 11 K
42
Pt/YIG
756.935 756.940 756.945 756.950 756.955
-0.05 0.00 0.05
-1000 -500 0 500 1000
-0.05 0.00 0.05 0.0 -1.0
0.2V
0.5V
R ()
Cu (10nm)/YIG Pt (15nm)/Si
Pt (10nm)/YIG
H(Oe) (V12)th (V36)th
0.0V 1.0
0.0 1.0
Vth(a.u.) (V12)
th
Vth(V)
II (V36)th
0.0V 756.935 756.940 756.945 756.950 756.955
-0.05 0.00 0.05
-1000 -500 0 500 1000
-0.05 0.00 0.05 0.0 -1.0
0.2V
0.5V
R ()
Cu (10nm)/YIG Pt (15nm)/Si
Pt (10nm)/YIG
H(Oe) (V12)th (V36)th
0.0V 1.0
0.0 1.0
Vth(a.u.) (V12)
th
Vth(V) (V36)th
0.0V
42
Thicknesses dependence of thermal voltage
ANE only
(up to 6 µV/K) Pt/YIG Py/YIG similarly large
10 0
20 40 60
30
VthV)
t (nm) Pt/YIG
Py/Si
2 10
0 20 40 60
30
VthV)
t (nm) Pt/YIG
Py/Si
Py/YIG
2
43
-1000 -500 0 500 1000
833.8 834.0 834.2 834.4 834.6 834.8 835.0 835.2 835.4
Vth (V)
(V12)th
II
4V
R ()
1V Py(10nm)/YIG
(V36)th
H (Oe)
(EANE)Py zT
m
FMPy/YIG
43
AMR Thermal
44
Pt/Ni 0.29 μB
Induced magnetic moments in Pt/Ni, Pt/Co, & Pt/Fe
PRL 85, 413 (2000)
Pt/Co 0.68 μB
PRB 60, 12913 (1999)
Pt/Fe 0.5 μB
Phys. Status Solidi A 196, 33 (2003)
X-ray Magnetic Circular Dichroism (XMCD)
44
Magnetic proximity effect in Pt/YIG
45 45
6Å YIG
Four layers Au or Pt
All four Pt layers are significantly polarized.
Au layers are essentially unpolarized Pt(1.5nm)/YIG
300K 0.054B
20K 0.076B
Phys. Rev. Lett. 110, 147207 (2013)
X ray Circular dichroism (XMCD) Spin density
Induced magnetic moments in Pt/YIG
spin current detector: Au ? Phys. Rev. Lett. 110, 067206 (2013) 7 Pt layers
Assuming all Pt have same moment
Pt/YIG vs. Au/YIG
New MR Yes No Anomalous Hall Yes No Moment (Theory) Yes No
Moment (XMCD) Yes Not observed Spin Seebeck 50x larger
ObservedComparison of Pt/YIG and Au/YIG
Intrinsic SSE
New Magnetoresistance
New Magnetoresistance in Pt/YIG:Magnetic Proximity Effect
47
Ɵ
yz
xyin the plane
xzM/Ms
y x (I)
z
V M
y x (I)
z
V
M y
x (I) z
M
V
New MR !!
(z) ≈ ||(x)
xy scan = yz scan
xz scan= constant
Anisotropic MR vs. New MR
48
0 90 180 270 360
314 315 316 317 318 319
R() Py(10nm)/Si
,, (degree)
xy
AMR I(x) & MPy
New MR
(z) ≈ T(y)
xy scan = xz scan
yz scan = constant
||(x) > T(y) same xy scan ||(x) > T(y) same xy scan
0 90 180 270 360
1728.8 1729.0 1729.2
xy Pt(2.5nm)/YIG,, (degree)
R()
xzyz
0 90 180 270 360
314 315 316 317 318
319 Py(10nm)/Si
xy
xzyz
0 90 180 270 360
1728.8 1729.0 1729.2
xy Pt(2.5nm)/YIG,, (degree)
R()
PHYSICAL REVIEW B 87, 220409(R) (2013)
48
49
Spin Hall MR in Pt/YIG: charge/spin current conversion (Nakayama et al.,) SOC metals/NO magnetic moment
Spin Hall Magnetoresistance (SMR)
The reflection Js depends on STT ρ||(x)> ρT(y) ; ρ(z) = ρ||(x)
SMR:
SOC metals on YIG
No magnetic moment
Spin current
Pt||y axis (independent of H) x
y z
0 90 180 270 360
1728.8 1729.0 1729.2
xy Pt(2.5nm)/YIG,, (degree)
R()
xzyz
Nakayama et al. Phys. Rev. Lett. 110, 206601 (2013)
j
ej
sj
eSHE ISHE
Pt/Py vs. Au/Py
50
0 90 180 270 360
37.6 37.8 38.0
xy
,,(degree)
Sheet resistance ()
Pt(3nm)/Py(5nm)/Pt(1.5nm)
xzyz
0 90 180 270 360
37.7 37.8 37.9 38.0
Sheet resistance ()
,,(degree) Au(3nm)/Py(5nm)/Au(1.5nm)
xy
xz
yzMagnetic Proximity can be detected in FM metal from XMCD and NEW MR
New MR AMR AMR
MRxy=MRxz+MRyz
50
51
Thicknesses dependence
0 2 4 6 8 10
0 4 8 12
(10-3)
tPy (nm) Au(3 nm)/Py(tPy)/Au(1.5 nm) H = 40 kOe
xy
xz
yz
0 90 180 270 360
37.7 37.8 37.9 38.0
Sheet resistance ()
,, (degree) Au(3nm)/Py(5nm)/Au(1.5nm)
xy
xz
yz
Py(t
Py)
0 2 4 6 8 10
0 3 6 9 12 15
tPy(nm)
(10-3)
xy
Pt(3 nm)/Py(tPy)/Pt(1.5 nm) H = 40 kOe
xz
yz
0 90 180 270 360
37.6 37.8 38.0
xy
,, (degree)
Sheet resistance ()
Pt(3nm)/Py(5nm)/Pt(1.5nm)
xz
yz
Pt/Py(t
Py)/Pt
0 1 2 3 4 5
0.0 0.8 1.6 2.4 3.2
tPt(nm)
(10-4)
xy
Pt(tPt)/YIG
H = 15 kOe xz
yz
0 90 180 270 360
1728.8 1729.0 1729.2
xy Pt(2.5nm)/YIG
,, (degree)
R() xz
yz
Pt(t
Pt)/YIG
AMR AMR
New MR New MR
AMR(own Moments) + New MR (induced Moments) New MR vs. Spin Hall MR
Pt/YIG New MR Yes Yes Pt/Py AMR + New MR Yes ?
Au/Py AMR No ?
Au/YIG No new MR No ? Experimental
observation
Induced Moment ? (AHE, XMCD)
Spin Hall MR Prediction ?
Magnetic proximity effect accounts for all cases Pt/YIGBB New MR Yes ?
52
New MR observed in cases with induced moments
53
Entanglement with anomalous Nernst (zT)
Transverse Spin Seebeck (xT) (metals, semiconductors, insulators):
Longitudinal Spin Seebeck Effect (ferromagnetic insulators):
Summary
Complicated Magnetic proximity effects in Pt Entanglement of SSE and ANE
Pt is not an ideal spin current detector (magnetic proximity effects):
Au is better spin current detector
NewMR in FM metals and Insulator
53
new MR in Pt/YIG, Py/YIG, Pt/YIGBB, and Pt/Py
No new MR in Au/YIG and Au/Py
New MR by magnetic proximity effect or Spin Hall MR ? Intrinsic spin-dependent thermal transport on substrate free sample
54
US NSF
Taiwan NSC Acknowledgement
• Johns Hopkins University: Prof. Chia-Ling Chien, Danru Qu, Bingfeng Miao
• University of Arizona: Prof. Weigang Wang
• National Tsing Hua University: Prof. J. Raynien Kwo
• Academia Sinica: Dr. Shang-Fan Lee
• University of Delaware: Prof. John Q. Xiao
• Arizona State University: Prof. Tingyong Chen
• University of California, irvine: Prof. Ruaiqn Wu
• Chinese Academy of Science: Prof. Jianwang Cai
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