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M.R. Ibarra Institute of Nanosciencie of AragΓ³n Laboratory of Advanced Microscopies Condensed Matter Physics Department
43

PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Apr 30, 2020

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Page 1: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

M.R. Ibarra

Institute of Nanosciencie of AragΓ³nLaboratory of Advanced MicroscopiesCondensed Matter Physics Department

Page 2: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 3: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Outline

β€’ The concept of spin currrentsβ€’ The thermoelectric conversionβ€’ Introduction to Thermospin effectsβ€’ SSE effects in [Fe3O4/Pt]n multilayersβ€’ Spin Peltier effect in [Fe3O4/Pt]n multilayersβ€’ Thermoelectric power: thermopilesβ€’ Conclusions

Page 4: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 5: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Charge and spin currents

JS = 0

Jc

Jc = 0

JS JS

Jc = 0

Jc: charge current JS: spin current

Conduction-electronspin current

Spin wave (magnons)spin current

Page 6: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 7: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Pure Spin Currents

Net electron spin flow

Non-magneticMetal

MagneticInsulator

Magnon flow

Page 8: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin Hall effect (SHE)Interconversion of charge – spin currents in materials with high spin orbit coupling (high Z)(Dyakanov & Parel 1971,Hirch 1999)

(Js) Spin (Jc) Charge

Jc

JS

US-L US-L

Page 9: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Inverse Spin Hall effect (ISHE)Interconversion of spin currents – charge currents in non-magnetic metals with high spin orbit coupling (high Z)

(JS) Spin (Jc) Charge

Jc

JS US-L

Saitoh, E., Ueda, M., Miyajima, H., & Tatara, G. (2006). Conversion of spin current into charge current at room temperature: Inverse spin-Hall effect. Applied Physics Letters, 88(2006), 1–4.

Page 10: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 11: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Thermoelectric effects

Seebeck effect: 𝑆𝑆 = 𝐸𝐸𝛻𝛻𝛻𝛻

𝜡𝜡𝜡𝜡

𝑬𝑬𝐽𝐽 = 𝜎𝜎(𝐸𝐸 βˆ’ 𝑆𝑆 𝛻𝛻𝛻𝛻) = 0

Peltier effect: Ξ  = 𝑆𝑆 𝛻𝛻

𝜡𝜡𝜡𝜡

+

Thermoelectric power generation Thermoelectric cooling

𝑍𝑍𝛻𝛻 =𝑆𝑆2πœŽπœŽπœ…πœ…

𝛻𝛻

πœ…πœ… = πœ…πœ…π‘’π‘’ + πœ…πœ…π‘™π‘™ πœ…πœ…π‘’π‘’ = πΏπΏπœŽπœŽπ›»π›»

𝐿𝐿 =πœ‹πœ‹2

3π‘˜π‘˜π΅π΅π‘’π‘’

2

= 2.44 Γ— 10βˆ’8 οΏ½π‘Šπ‘ŠΞ©πΎπΎ2

Figure of merit

πœ΅πœ΅π‘½π‘½

Page 12: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Would it be posible thermoelectriceffect due to spin?

𝜡𝜡𝜡𝜡

𝜡𝜡𝜡𝜡

JS

Spin Peltier Effect (SPE)Spin Seebeck Effect (SSE)

JS

Page 13: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Heat vs. Electricity

To get Electricity To get Heat

Charge

Spin

Seebeck effect Peltier effect

Spin Seebeck effect

Uchida 2008

Spin Peltier effectFlipse 2014

Daimon 2016

Page 14: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 15: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin Seebeck effect effect: Spin current generation by heat

)( NFB

SS TTkGI βˆ’βˆ’=

H. Adachi et al. PRB 83, 094410 (2011), Rep. Prog. Phys. 76, 036501 (2013)

J. Xiao et al. PRB 81, 214418 (2010)

Spintronics

Spin Seebeck

Effect

SeebeckEffect

Page 16: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

16

Longitudinal spin Seebeck effect (LSSE)

Longitudinal SSE setup

paramagnet

ferromagnet

Inverse spin Hall effect:

K. Uchida et al.,Appl. Phys. Lett. 97, 172505 (2010).

EISHE = ΞΈSHρ(JS Γ— Οƒ)

Page 17: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin Seebeck basic principles

β€’ Spin current proportional to applied thermal gradient

β€’ Injected spin current converted in electric voltage by the inverse spin Hall effect

H. Adachi et al. Phys. Rev. B 83, 094410,& Rep. Prog. Phys. 76, (2013) 036501

𝐸𝐸𝐼𝐼𝐼𝐼𝐼𝐼𝐸𝐸 =πœƒπœƒπΌπΌπΌπΌπœŒπœŒπ΄π΄

2𝑒𝑒ℏ

𝐽𝐽𝐼𝐼 Γ— οΏ½βƒ—οΏ½πœŽ

𝐼𝐼𝐼𝐼 = βˆ’πΊπΊπΌπΌπ‘˜π‘˜π΅π΅β„

(𝛻𝛻𝐹𝐹 βˆ’ 𝛻𝛻𝑁𝑁)

J. Xiao et al. Phys. Rev. B 81, 214418

Page 18: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Magnon emission associatedwith spin accumulation at themetal-ferromagnet interface (Takahasi et al ICM 2009)

Spin angular momentumtransfer at the interface:Magnon and elecronspin currentinterconversion(Steven et al. PRB 86 (2012) 214424)

SPIN CURRENT AT THE INTERFACES

Page 19: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 20: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Fe3O4

Pt

Fe3O4

SSE in [F/N]n multilayers

Pt

Page 21: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Combined PLD & Sputtering

KrF Laser (Ξ» = 248 nm)

PLD-sputtering (Neocera Llc) P180-sys

(Neocera Llc)

Sputtering module

21

Page 22: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Atomic resolution morphological characterization

MgO/(Fe3O4/Pt)

STEM-HAADF image

0,21 nm MgO

Fe3O4

Interface Fe3O4/MgO

0,39 nm

Pt

a~ 0,83 nm

Fe3O4

Pt

Fe3O4

50 nm

MgO

Fe3O4

Pt

FIB-Pt-C

Page 23: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

23Atomic resolution chemical mapping of the interfaces

Page 24: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

SSE vs number of Fe3O4/Pt bilayers

-8 -6 -4 -2 0 2 4 6 8-10

-5

0

5

10

V ML /

βˆ†T

(Β΅V/

K)

H (kOe)

n = 1 n = 2 n = 3 n = 6

T = 300 K

n = 1

n = 6

SSE voltage enhancement with incresing number of Fe3O4/Ptbilayers

50 nmMgO

Fe3O4

Pt

50 nm

Ramos et al. Phys. Rev. B 92, 220407(Rap. Comm.) (2015)

Page 25: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

-6 -4 -2 0 2 4 6

-0.5

0.0

0.5

1 x Pt/Fe3O4(tF), 300K

tF = 40 nm

(Vy/βˆ†

T) (L

z/Ly)

(Β΅V

/K)

H (kOe)

tF = 160 nm

tFPt

Fe3O4MgO

-6 -4 -2 0 2 4 6

-0.5

0.0

0.5 n = 4

H (kOe)

(Vy/βˆ†

T)(L

z/Ly)

(Β΅V/

K)

n = 1

n x Pt/Fe3O4(40), T=300 K

PtFe3O4

MgO

4 x

Fe3O4

Pt (15 nm)t (nm)

2mm

7mm

SSE dependence on Fe3O4 thickness

A. AnadΓ³n et al. 2016) APL (2016)

Page 26: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Dependence of SSE versus metal/insulator interlayer

Spin current across the multilayer must be considered

Page 27: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

-8 -6 -4 -2 0 2 4 6 8-30

-20

-10

0

10

20

30

V ML /

βˆ†T

(Β΅V/

K)

H (kOe)

n x Fe3O4/Pt(tN) n = 1 n = 6

GSSE

T = 300 K

Pt 15 nm

Pt 7 nm

Page 28: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Optimized configuration

-8 -6 -4 -2 0 2 4 6 8

-30

-20

-10

0

10

20

30 n = 12n = 6

V ML/βˆ†

T (Β΅

V/K)

H (kOe)

T = 300 K

n = 1

[Fe3O4(23)/Pt(7)]n

Largest SSE voltage measured in a thin film based structure!!

VML β‰ˆ 28 Β΅V/ K !!

Page 29: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

29

Mechanism of LSSE enhancement in multilayer systems

Essence of LSSE enhancement: Boundary conditions for spin currents flowing normal to P/F interfaces

(i) spin currents must disappear at the top and bottom surfaces(ii) spin currents are continuous at the interfaces

Spin

cur

rent

PtFe3O4 Fe3O4

T = 300 K

z

PtFe3O4

Magnon spin current

Electron spin current

Page 30: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Qualitative agreement with experimental results

0 1 2 3 4 5 6 70

2

4

6

8

10

experiment

T = 300 K

S SSE (Β΅V

/K)

Number of Fe3O4/Pt bilayers (n)

0.00

0.02

0.04

0.06

0.08

0.10

model

<JS>

Average SSE voltage measured:

𝐽𝐽𝐼𝐼 =1𝑑𝑑𝑁𝑁𝑛𝑛

�𝑖𝑖=1

𝑛𝑛�

𝑧𝑧𝑖𝑖=0

𝑑𝑑𝑁𝑁

𝑑𝑑𝑑𝑑 𝐽𝐽𝑠𝑠(𝑖𝑖)(𝑑𝑑)

Maximum spin current at central interlayers

Envelope curve(JS(z)):

Ramos et al. Phys. Rev. B 92, 220407(Rap. Comm.) (2015)

Page 31: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 32: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

(Ilustration from Graham Jones)

Page 33: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

K. Uchida et al. Phys. Rev.B 95, 184437 (2017)

Page 34: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin peltier effect

K. Uchida et al. Phys. Rev.B 95, 184437 (2017)

Page 35: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Strong enhancement of the spin peltier effect in multiple bilayers

Page 36: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…
Page 37: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin Seebeck device

Wide area, low cost thermoelectric devices

Conventional charge thermoelectric device:

Many thermocouples necessaryHigh cost, difficulty in integration

T-gradient over centimeter scale neededThin film device difficult

Spin-Seebeck thermoelectric device

Many thermocouples unnecessaryLow cost, ultimate integration

T-gradient over nanometer scale is sufficientThin film device possible

(IMR, Tohoku Univ. / NEC / ASRC, JAEA/Zaragoza)

Page 38: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

SSE thermopilesBilayer Multilayer

TP2TP1

Page 39: PresentaciΓ³n de PowerPointΒ Β· Thermoelectric power generation. Thermoelectric cooling. 𝑍𝑍=𝛻𝛻 𝑆𝑆 2 𝜎𝜎 πœ…πœ… 𝛻𝛻 πœ…πœ…= πœ…πœ… 𝑒𝑒 + πœ…πœ…

Spin current conversiΓ³n at the interfaces F/N gives rise to anstrong enhancement of the thermospin effects in multiplebilayers and constitutes an excellent play ground for thestudy of new physical phenomena and promising for devicesapplication

K. Uchida et al. review Proceedings of the IEEE 104, 1499 (2016)

LSSE Termopower LSSE power factor

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Monographic issue in Journal PhysD: Applied Physics on

CALORITRONICS to appear soon

Enhanced thermo-spin effects in iron-oxide/metal multilayers

R Ramos1, I. Lucas2,3,4, P. A. Algarabel4,5, L. MorellΓ³n2,3,4,K. Uchida6,7,8, E. Saitoh1,8,9,10 and M. R. Ibarra2,3,4,11

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Development of thin-film thermoelectric SSE baseddevices

Strategic Japanese-Spanish Cooperative Research Program Nanotechnologies and new materials for environmental

challenges

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