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Volt 40A (Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm))

Measurement of magnetic and magneto- transport properties of nanomagnets. Measurement data.

Abstract:

High- precision, high- reproducibility, high- repeatability measurement of magnetic and magneto- transport properties of ferromagnetic nanomagnets using the Hall effect

High-precision measurement of effect of spin-orbit torque (SOT effect): Dependence of magnetic and magneto- transport properties on electrical current

High-precision measurement of effect of voltage-controlled magnetic anisotropy (VCMA effect): Dependence of magnetic and magneto- transport properties on a gate voltage




Measurements

(measurement 1) Measurement of Hall angle vs external perpendicular magnetic field

Nanowire with two Hall probes

Measured hysteresis loop (See below) for gap regions indicates that the etching was stopped at Ta/FeB boundary

click on image to enlarge it

(1.1) Measurements of Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect (Sample dependence)

(1.2) Spin-orbit torque: Measurement of dependence of Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect on current magnitude and polarity.

(1.3) VCMA: Measurement of dependence of Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect on gate voltage

(measurement 2) Measurement of anisotropy field vs external perpendicular magnetic field

(2.1) Measurement of PMA & Anisotropy field

(2.2) Spin-orbit torque: ""Field- like torque" ""Damp- like torque". Measurement of dependence of PMA on the electrical current .

(2.3) VCMA: ""Field- like torque" ""Damp- like torque". Measurement of dependence of PMA on gate voltage.

(measurement 3) Measurement of magnetization switching under external perpendicular magnetic field

(3.1) Measurement of coercive field HC, retention time, size of nucleation domain, parameter delta Δ

(3.2) Spin-orbit torque: Current dependence of magnetization switching parameters.

(3.3) VCMA: dependence of magnetization switching parameters on gate voltage.


 

Details of Measurement Methods are here

 


Volt 40A (Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm))

 

Hysteresis loop

sample: R75C (two nanomagnet)

sample: R21B (one nanomagnet)

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)

click on image to enlarge it

fabrication: Ret14 (stepper only, no EB)

Raw data Volt40.zip (.dat files and origin 9 files)

(7zip (free) download is here)

Conductivity: 0.023-0.029 S/m2

Anisotropy field Hanis =4.2 kGauss

Coercive field = 170 Oe-220 Oe;

Hall angle measured=290- 390 mdeg

Intrinsic Hall angle of FeB= 736- 990 mdeg;

Gap region etched: FeB is fully etched, stopped at FeB/ Ta interface

 

size: all samples:

nanowire width: 3 μm; nanomagnet length: 3 μm

 


 

Kerr Rotation angle MOKE

data of a plain film before nanofabrication

(note) Coercive field and shape of coercive loop is very different for a nanomagnet and film, from which it was fabricated, because of different magnetization switching mechanisms (See here)
click on image to enlarge it

 

 

 

 

 

magnetization- switching parameters:

retention time τret

(gate): L55-> 1021 s; R71-> 1021.5 s; R43-> 106 s;

(gap): L55-> 109 s; R71-> 1016 s;

size of nucleation domain:

(gate): L55-> 40 nm; R71-> 44 nm; R43-> 43 nm

(gap): L55-> 25 nm; R71-> 50 nm

coercive field Hc:

(gate): L55-> 370 Oe; R71->310 Oe R43-> 100 Oe

(gap): L55-> 310 Oe; R71-> 280 Oe

parameter Δ :

(gate): L55-> 120; R71->100 R43-> 120

(gap): L55-> 60; R71-> 135


 

Since the nanowire is double- layer, which consists of Ta and FeB layer, the Hall angle αHall, FeB in FeB can be calculated from measured Hall angle αHall, measured (See here) as

where

tFeB, tTa, σFeB,σTa are thicknesses and conductivities of FeB and Ta metals.

 

kdouble=2.5385

 

(measurement 1) Measurement of Hall angle vs external perpendicular magnetic field Hz

 

 

 

Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect (Sample dependence)

Hall angle αHall

1st derivation ∂αHall/∂Hz

2nd derivation 2αHall/∂Hz2

αHall and therefore strength of AHE is substantially different for each nanomagnet ∂αHall/∂Hz is different for ~10 % for each sample with correspondent difference of 2αHall/∂Hz2, which means that the strength of ISHE is different for each nanomagnet  

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

Fitting of Hall angle

The Hall angle αHall , its 1st derivation ∂αHall/∂Hz and its 2d derivation 2αHall/∂Hz2 is simultaneously fitted by equation (See here)

where αOHE is Hall angle of Ordinary Hall effect, αAHE is Hall angle of Anomalous Hall effect and where αISHE is Hall angle of Inverse Spin Hall effect

There is an ambiguity for αISHE and αAHE, which depends on unknown spin polarization sp

where sp is the spin polarization of conduction electrons, αAHE,0.5 is αAHE at sp=0.5, αISHE,0.5 is αISHE at sp=0.5

result of fitting:

sample:( L55 gate) αISHE,0.5= 211 mdeg; αAHE,0.5= 475 mdeg; αOHE=0.2 mdeg/kG; Hp=20.3 kG;

sample:( R21 gate) αISHE,0.5= 222 mdeg; αAHE,0.5= 753 mdeg; αOHE=0.2 mdeg/kG; Hp=13.6 kG;

sample:( R43 gate) αISHE,0.5= 254 mdeg; αAHE,0.5= 850 mdeg; αOHE=0.2 mdeg/kG; Hp=12.4 kG;

sample:( R71 gate) αISHE,0.5= 525mdeg; αAHE,0.5= 327 mdeg; αOHE=0.2 mdeg/kG; Hp=21.6 kG;

sample:( R71 gate) αISHE,0.5= 504mdeg; αAHE,0.5= 231 mdeg; αOHE=0.2 mdeg/kG; Hp=21.0 kG;

 


 

AHE & ISHE vs current & current polarity. SOT effect

Measurement 1. Dependence of Anomalous Hall effect (AHE) & Inverse Spin Hall effect (ISHE) on current and current polarity. Effect of Spin-Orbit Torque (SOT)

Spin-orbit torque. Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect vs current

fig.4a.Current- dependence of AHE (Hall angle αHall)

fig.4b.Current- dependence of ISHE (∂αHall/∂Hz i)

   

fig.4c.Dependence of AHE on polarity of current j

fig.4d.Dependence of ISHE on polarity of current j

ΔAHE= (αHall(j)-αHall(-j))/2/αHall(j) ΔISHE= (ISHE(j)-ISHE(-j))/2

fig.4e. Hall angle αHall at different current j

fig.4f.∂αHall/∂Hz at different different current j

sample: R21B gate. Dependence of AHE (αHall) is substantial and obvious sample R21B gate. Dependence of ISHE is weak.

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

Features

(temperature)

dependence on current magnitude

(AHE vs I2 ): strong 3% decrease at current of 50 mA/ μm2

(ISHE vs I2 ): weak 0.2 mdeg/kG decrease at 50 mA/ μm2

(Spin- orbit torque)

dependence on current polarity

(AHE(I)-AHE(-I)):moderate ~0.5 % (L55 gate: large 0.8 %); slope: all negative; saturation: at low current of 25 mA/ μm2; max change ~0.5 % (L55 gate: 0.8 %).

(ISHE(I)-ISHE(-I)): very small (~0.1 mdeg/kG)


 

AHE & ISHE vs gate voltage. VCMA effect

Measurement 1. Dependence of Anomalous Hall effect (AHE) & Inverse Spin Hall effect (ISHE) on gate voltage. Effect of Voltage-Controlled Magnetic Anisotropy (VCMA)

 

 

VCMA. Hall angle, Anomalous Hall effect (AHE), Inverse Spin Hall effect vs gate voltage

fig.5a. dependence of AHE (Hall angle αHall) on gate voltage

fig.5b.dependence of ISHE (∂αHall/∂Hz) on gate voltage

normalized change of AHE vs gate voltage. nor AHE=(AHE(V)-AHE(V=1))/AHE(V).  

fig.5c. Hall angle αHall at different different gate voltages

fig.5d.∂αHall/∂Hz at different different gate voltages

Sample. Only at Vgate=+0.7 V there is a difference Sample R71. Dependence on Vgate is weak.

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

Features

 

dependence on gate voltage

(AHE vs Vgate ): moderate 1.5 % ; slope: unclear

(ISHE vs Vgate ): moderate 0.7 mdeg/kG; slope: negative; saturation: = Vgate=+1 V

 

 

 

 


(measurement 2) Measurement of anisotropy field vs external perpendicular magnetic field Hz

details about measurement method is here and here

Measurement of PMA. Anisotropy field

Anisotropy field Hanis

Offset magnetic field Hoff . Scan is along wire.

Offset magnetic field Hoff . Scan is perpendicularly to wire.

Anisotropy field Hanis vs external perpendicular magnetic field Hz. Hanis is about 4.5 kG Offset magnetic field Hoff measured when in-plane magnetic field is scanned along metallic wire. Offset magnetic field Hoff measured when in-plane magnetic field is scanned perpendicularly to metallic wire. There is a substantial difference between samples and a substantial difference between positive and negative scans of Hz. At Hz =7 kG, Hoff = between -10-40G for different samples. The dependence is slightly linear (nearly a constant) with a substantial periodical modulation.

details of this measurement method is here

Sample Volt40: Ta(3 nm)/ FeB(1.1 nm)/ MgO(7 nm)/ W(1 nm) /Ru(5 nm)
click on image to enlarge it

 

Spin-orbit torque vs PMA

Spin-orbit torque. Measurement of dependence of PMA on the electrical current j.

"Field- like torque". Current- dependence of offset field ∂Hoff/∂j. Scan is along wire.

"Damp- like torque". Current- dependence of offset field ∂Hoff/∂j. Scan is perpendicularly to wire.

∂Hoff/∂j~ 0.1 Gauss/(mA/ μm2).E.g. at j=100 mA/ μm2, change of offset field ΔHoff=10 Gauss. There are clear oscillations. There is a substantial difference between positive and negative scans of Hz. ∂Hoff/∂j~ 0.18 Gauss/(mA/ μm2).E.g. at j=100 mA/ μm2, change of offset field ΔHoff=18 Gauss. There are clear oscillations. There is a substantial difference between positive and negative scans of Hz.

Current- dependence of anisotropy field∂Hanis/∂j. Scan is along wire.

Current- dependence of anisotropy field∂Hanis/∂j. Scan is perpendicularly to wire.

∂Hanis/∂j~ 0.8 Gauss/(mA/ μm2).E.g. at j=100 mA/ μm2, change of anisotropy field ΔHanis=80 Gauss. There are clear oscillations. Amplitude of oscillations increases at a larger Hz. There is a substantial difference between positive and negative scans of Hz. ∂Hanis/∂j~ 0.8 Gauss/(mA/ μm2).E.g. at j=100 mA/ μm2, change of anisotropy field ΔHanis=80 Gauss. There are clear oscillations. Amplitude of oscillations increases at a larger Hz. There is a substantial difference between positive and negative scans of Hz.

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

Spin-orbit torque (SOT). Measurement of dependence of anisotropy field Hanis and offset magnetic field Hoff on the electrical current j.

"Field- like torque". Dependence of offset magnetic field Hoff on current j. Scan is along wire.

"Damp- like torque". Dependence of offset magnetic field Hoff on current j. Scan is perpendicularly to wire.

Dependence of anisotropy field Hanis on current j.

Dependence is linear. Slope is positive. Measurement is under perpendicular magnetic field H is + 0.8 kG. Dependence is linear. Slope is positive. Measurement is under perpendicular magnetic field H is + 0.8 kG. Hanis decreases proportionally to j2 due to heating. Also, Hanis is proportional to polarity of current due to SOT effect (dependence is different for +j and -j current). Measurement is under perpendicular magnetic field H is + 0.8 kG.

Dependence of offset magnetic field Hoff on perpendicularly applied magnetic field H. Scan is along wire.

Dependence of offset magnetic field Hoff on perpendicularly applied magnetic field H. .Scan is perpendicularly to wire.

Dependence of anisotropy field Hanis on perpendicularly applied magnetic field H

. .  

Data of Sample R73

details of this measurement method is here
click on image to enlarge it

 

 

 

 

 


 

VCMA vs PMA

 

VCMA. Measurement of dependence of PMA on gate voltage

dependence of anisotropy field on gate voltage ∂Hanis/∂V. Scan is along wire.

dependence of anisotropy field on gate voltage ∂Hanis/∂V. Scan is perpendicularly to wire.

   

dependence of offset field on gate voltage ∂Hoff/∂V. Scan is along wire.

dependence of offset field on gate voltage ∂Hoff/∂V. Scan is perpendicularly to wire.

   

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

 

 

Voltage-controlled magnetic anisotropy (VCMA). Measurement of dependence of anisotropy field Hanis and offset magnetic field Hoff on gate Voltage

Dependence of anisotropy field Hanis on gate voltage V

"Field- like torque". Dependence of offset magnetic field Hoff on gate voltage V. Scan is along wire.

"Damp- like torque". Dependence of offset magnetic field Hoff on gate voltage V. Scan is perpendicularly to wire.

Hanis is linearly proportional to the gate voltage. Slope is negative. There is a weak saturation at negative voltage. Measurement is under perpendicular magnetic field H is + 0.8 kG. Dependence is weak. Measurement is under perpendicular magnetic field H is + 0.8 kG. Dependence is weak.. Measurement is under perpendicular magnetic field H is + 0.8 kG.

Dependence of anisotropy field Hanis on perpendicularly applied magnetic field H

Dependence of offset magnetic field Hoff on perpendicularly applied magnetic field H. Scan is along wire.

Dependence of offset magnetic field Hoff on perpendicularly applied magnetic field H. .Scan is perpendicularly to wire.

. .  

Data of Sample R43

details of this measurement method is here
click on image to enlarge it

 

 

 


 

(measurement 3) Measurement of magnetization switching under external perpendicular magnetic field Hz

SOT effect. Current dependence of magnetization switching parameters.

Coercive field HC

change of coercive field HC vs current

Dependence of HC on polarity of current j. SOT effect

A substantial difference of HC from sample to sample (140-220 Oe). (HC(j)-HC(j=0))/HC(j). HC is reduced due to heating as HC~ j2. Additionally, coercive field linearly proportional to current HC~j due to SOT effect ΔHC= (HC(j)-HC(-j))/2. The change of HC with reverse of polarity of current.

retention time

Size of nucleation domain

Delta Δ

     

Raw Data. Switching time vs applied magnetic field H and bias current.

Raw Data. Switching time vs applied magnetic field H and bias current

Dependence of HC on polarity of current j. SOT effect.

Switching from spin-down to spin-up state. The left- side of hysteresis loop. Sample R71 gate Switching from spin-up to spin-down state. The right- side of hysteresis loop. Sample R71 gate ΔHC= (HC(j)-HC(-j))/2. The change of HC with reverse of polarity of current. Data of both gate and gap nanomagnet and from left and right- side switching of the hysteresis loop. Sample R71 gate

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

 

VCMA vs Coercive field

 

 

VCMA. Measurement of dependence of PMA on gate voltage.

dependence of normalized coercive field HC on gate voltage

dependence of domain size on gate voltage

Raw Data. Switching time vs applied magnetic field H at different gate voltage

HC is normalized as HC(%)= (HC(V)-HC(V=-1V))/HC(V)   Sample: R71 right side

details of this measurement method is here

Sample Volt40: Ta(2 nm)/ FeB(1.3 nm)/ MgO(5.1 nm)/ Ta(1nm)/ Ru(5 nm)
click on image to enlarge it

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


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