Spintronic components for memories, logic and RF applications - - PowerPoint PPT Presentation

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Spintronic components for memories, logic and RF applications - - PowerPoint PPT Presentation

Spintronic components for memories, logic and RF applications OUTLINE Giant MagnetoResistance (GMR), Benefit in magnetic recording technology Tunnel Magnetoresistance (TMR) Spin-transfer Magnetic Random Access Memories (MRAM) Hybrid CMOS/MTJ


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ESM 2009 09/09/09 B.Dieny

Spintronic components for memories, logic and RF applications

OUTLINE Giant MagnetoResistance (GMR), Benefit in magnetic recording technology Tunnel Magnetoresistance (TMR) Spin-transfer Magnetic Random Access Memories (MRAM) Hybrid CMOS/MTJ components for non-volatile and reprogrammable logic Radio Frequency oscillators based on spin-transfer Conclusion

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Acknowledgements

R.C. Sousa C.Papusoi J.Hérault M.Souza L.Nistor E.Gapihan S.Bandiera G.Prenat U.Ebels D.Houssamedine B.Rodmacq A.Vedyaev N.Ryzhanova

  • O. Redon

M.C.Cyrille B.Delaet J.-P. Nozières

  • L. Prejbeanu

V.Javerliac K.Mc Kay

Work partly supported by the projects MAGLOG (IST-STREP-510993) SPINSWITCH (MRTN-CT-2006-035327) MAGICO (ANR 2006) CILOMAG (ANR 2007)

Lomonosov University

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Magnetic field (kOe)

~ 80%

Fe/Cr multilayers A.Fert et al, PRL (1988); P.Grunberg et al, PRB (1989)

Development of spin-electronics: strong synergy between basic research and applications

R/RP~80% at RT

Development of spintronics paved with breakthrough discoveries:

  • 1) GMR  Hard disk drives (1990-2004)
  • 2) Tunnel MR  MRAM, hard disk drives (1995 - … for HDD, 2006-… for MRAM)
  • 3) Spin-transfer  MRAM, RF oscillators
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Benefit of GMR in magnetic recording

GMR spin-valve heads from 1998 to 2004

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1) GMR in magnetic recording

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10

8

increase

Dramatic increase in areal storage density over the past 50 years

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Evolution of magnetic bit size in hard disk drives

1982 1984 1986 1988 1990 1992 1994 1996 1998 2000

2.5m*10m 1.8m*7m 0.8m*3.2m 0.56 m*2.2m 0.25 m*1m 80nm*310nm 50nm*200nm

2002

50nm*150nm

2004

40nm*140nm

2006

40nm*120nm

2008

35nm*100nm

1982 1984 1986 1988 1990 1992 1994 1996 1998 2000

2.5m*10m 1.8m*7m 0.8m*3.2m 0.56 m*2.2m 0.25 m*1m 80nm*310nm 50nm*200nm

2002

50nm*150nm

2004

40nm*140nm

2006

40nm*120nm

2008

35nm*100nm

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Reduction in size and increase in capacity

Areal storage density: +60%/year

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New applications of HDD made possible thanks to miniaturization

GMR spin-valve heads from 1998 to 2004

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Tunnel magnetoresistance at 300K in amorphous Alumina based MTJ:

Julliere (1975) but at low T only Moodera et al, PRL (1995); Myazaki et al, JMMM(1995).

« Giant » tunnel magnetoresistance at RT in crystalline MgO based MTJ: Parkin et al, Nature Mat. (2004); Yuasa et al, Nature Mat. (2004). TMR~40-70% TMR~200-500%

2) Magnetic tunnel junctions

Reference layer :CoFe 3nm Free layer: CoFe 4 nm IrMn 7nm Al2O3 barrier 1.5nm

  • r

Reference layer :CoFe 3nm Free layer: CoFe 4 nm IrMn 7nm Reference layer :CoFe 3nm Free layer: CoFe 4 nm IrMn 7nm Al2O3 barrier 1.5nm

  • r
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  • Resistance of MTJ compatible with

resistance of passing FET (few k)

  • MTJ can be deposited in magnetic

back end process

  • No CMOS contamination
  • MTJ used as variable resistance

controlled by field or current/voltage (Spin-transfer) Above CMOS technology

Cross-section of Freescale 4Mbit MRAM based on field switching

Magnetic Tunnel Junctions (MTJ): a new path for CMOS/magnetic integration

CMOS process Mag process

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M.D.Stiles et al, Phys.Rev.B.66, 014407 (2002)

Conduction electron flow

Polarizing layer Free layer

Conduction electron flow

Polarizing layer Free layer

~1nm

Co Co Cu Giant or Tunnel magnetoresistance: Acting on electrical current via the magnetization orientation Spin transfer is the reciprocal effect: Acting on the magnetization via the spin polarized current Reorientation of the direction of polarization of current via incoherent precession/relaxation of the electron spin around the local exchange field  Torque on the Free layer magnetization

3) Spin-transfer

Predicted by Slonczewski (JMMM.159, L1(1996)) and Berger (Phys.Rev.B54, 9359 (1996)),

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Magnetization dynamics: Effective field + spin-torque

H

Precession from effective field Current-induced torque (Spin-torque) Damping torque (intrinsic Gilbert damping )

M

Effective field term (conserve energy) Gilbert Damping term Spin-torque term: damping (or antidamping) term

   

dt dM M M M M aI M bI H M dt dM

p p eff

            . .

a and b are coefficients proportional to the spin polarization of the current

Non conservative

Effective field term seems weak in metallic pillars (<10% of spin-torque term) but more important in MTJ (~30% of spin-torque term) ( Modified LLG)

Slonczewski (JMMM.159, L1(1996)) and Berger (Phys.Rev.B54, 9359 (1996)), Stiles, Levy, Fert, Barnas, Vedyaev Polarizer M

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Energy dissipation and energy pumping due to spin transfer torque Without spin torque (standard LLG) :

<0

Dissipation, leading to relaxation towards effective field

With spin torque term :

dE/dt can be either>0 or <0

Large damping Low damping

With Large damping: standard dynamical behavior, With low damping: New dynamical effects such as spin current induced excitations

Z.Li and S.Zhang, Phys.Rev.B68, 024404 (2003)

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Current induced switching: Macrospin approximation

Initial orientation Final orientation Polarisation of spin-current Three steps:

  • Increase in precession angle
  • switching in the opposite hemisphere
  • fast relaxation

Switching of a 2.5nm Co layer for j~2-4.107A/cm2 Analysis of stability of LLG equation : initial state becomes unstable for

   

s ext K s crit J

M H H M a      2 2     

Where aJ is prefactor of ST term:

 

P e J d M g a

s B J

1 2

2

  

From J.Miltat

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By spin transfer, a spin-polarized current can be used to manipulate the magnetization of magnetic nanostructures instead of by magnetic field. Can be used as a new write scheme in MRAM Or to generate steady state oscillations leading to RF oscillators

CoFeCu2 CoFeCu1 I+ I-

Cu

I = -0.4 mA

8,7 8,8 8,9 9 9,1

  • 400
  • 200

200 400

H(Oe) R(ohms) H = -4 Oe

8,7 8,8 8,9 9 9,1

  • 8
  • 4

4 8

I(mA) R(ohms) I = -0.4 mA

8,7 8,8 8,9 9 9,1

  • 400
  • 200

200 400

H(Oe) R(ohms) H = -4 Oe

8,7 8,8 8,9 9 9,1

  • 8
  • 4

4 8

I(mA) R(ohms)

Field scan Current scan Magnetization switching induced by a polarized current jc

P-AP=1.9.107A/cm²

jc

AP-P=1.2.107A/cm²

Katine et al, Phys.Rev.Lett.84, 3149 (2000) on Co/Cu/Co sandwiches (Jc ~2-4.107A/cm²)

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Logic circuits Memories

“1” “0”

Rlow Rhigh R(H) Magnetic field sensors

Freescale 4Mbit Write/read heads

VDD MP2 MP1 BL0 BR0 MN1 MN2 MN3 OUT+ OUT- Sen VDD MP2 MP1 BL0 BR0 MN1 MN2 MN3 OUT+ OUT- Sen

RF components

Cu PtMn Cu

CoFe CoFe Al2O3 (Pt/Co)

J

Spintronic components

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Principle : Store data by the direction (parallel or antiparallel) of magnetic layers in MTJ

"1" "0"

Writing Reading

Transistor ON

Bit line Word line

Transistor OFF

Non-volatile storage element: MTJ

Selectivity achieved by combination of two perpendicular magnetic fields

Field induced magnetic switching (FIMS) MRAM

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Field induced switching MRAM Write Operation

Stoner-Wohlfarth switching

  • Selectivity based on Astroïd diagram
  • With proper adjustment of Hx and Hy, only the cell

simultanously submitted to Hx and Hy switches, and not the half selected cell

  • Requires narrow distributions of switching field

 manufacturing issues

However,

High power consumption as large magnetic fields (~50-70Oe) required for switching: I~5mA/Line. Power consumption will increase upon scaling down due to increasing shape anisotropy necessary for thermal stability. Heasy Hhard 4Mbit product from FREESCALE launched in 2006. Great achievement which demonstrates that CMOS/MTJ integration is possible in a manufacturable process. Freescale 4Mbit

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Poor scalability of field induced switching MRAM

Transistor OFF

Limited scalability due to electromigration in bit/word lines F

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Solution 1: Spin-Transfer Torque MRAM

Slonczewski, Berger (1996); STT in MTJ: Huai et al, APL (2004); Fuchs et al, APL (2004)

Hayakawa et al, Japanese Journal of Applied Physics 44, (2005),L 1267

The bipolar current flowing through the MRAM cell is used to switch the magnetization

  • f the storage layer.

Reading at lower current density then writing so as to not perturb the written information while reading.

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  • Writing determined by a current density :
  • Current through cell proportional to MTJ area
  • Concern with thermal stability of the cell below 45nm (superparamagnetic limit)

Increasing aspect ratio inefficient for AR>2 (nucleation/propagation) Increasing intrinsic anisotropy often increases Gilbert damping

ON

jSTT Vdd

STT MRAM scalability

Writing “0”

ON

jSTT Vdd Writing “1”

               

K M P t e j

S F plane in WR

2 2 2

2

  

Huai et al, Appl.phys.Lett.87, 222510 (2005) ; Hayakawa, Jap.Journ.Appl.Phys.44 (2005) L1246

free pinned

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Perpendicular-to-plane STT MRAM

Current to write “0” Current to write “1” AlO

x or MgO

eg FePt

IrMn

eg (Co/Pt)

Cu

eg FePt

PtMn MTJ provides the TMR signal Additional spin-polarizer to reinforce STT

FR2832542 filed 16th Nov.2001, US6385082

               

 

K M P t e j

S F plane

  • f
  • ut

WR

2 2 2

2

  

Opposite sign in perpendicular anisotropy.

Switching current can be lower than with in-plane magnetized material

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www.toshiba.co.jp/about/press/2007_11/pr0601.htm

Perpendicular-to-plane STT MRAM jc~3.106A/cm²                

 

K M P t e j

S F plane

  • f
  • ut

WR

2 2 2

2

   Ability to maintain low /P factor with out-of plane anisotropy (?)

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Heating effects in STT cells

Heating does take place in metallic and MTJ cells during STT writing

H = -4 Oe 8,7 8,8 8,9 9 9,1

  • 8
  • 4

4 8 I(mA) R(ohms)

T=+50°C

Deac et al, Phys.Rev.B73 (6), 064414 (2006)

CPP SV: Jc~2.107A/cm² MTJ:

10 times lower jc than in CPP SV but >103* higher RA so that comparable or even larger heating power in MTJ than in metallic CPP SV.

Stochastic switching + Possible drift in temperature upon repeated write

2

. j RA P

heating 

1 2 3 4 5 6 7 8 9

20 40 60 80 100 120 temperature(°C)

dR/R(25°)(%) dRp/Rp(25°C) dRap/Rap(25°C) 1 2 3 4 5 6 7 8 9

20 40 60 80 100 120 temperature(°C)

dR/R(25°)(%) dRp/Rp(25°C) dRap/Rap(25°C)

NiFe/Ta5nm/IrMn 7nm/CoFe3nm/Ru0.6nm/CoFeCu2.5nm/Cu3nm/CoFeCu3nm/Ta5nm/Cu

[R(T)-R(25°C)]/R(25°C) (%)

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Very similar to Heat Assisted Magnetic Recording (HAMR) Write at elevated temperature – Store at room temperature In TA-MRAM: Heating by current flowing through the cell

Solution 2 : Thermally assisted MRAM

Heating+ pulse of magnetic field: Heating + STT:

"0"

OFF

"0"

OFF ON ON OFF OFF

"1"

OFF

"1"

OFF ON ON

Word line

to “1”

"0"

OFF

"0"

OFF ON ON

Heating Cooling

OFF OFF

"1"

OFF

"1"

OFF ON

Switching

ON

Word line

From “0”….

OFF

"0"

Heating + Switching Cooling

ON OFF

"1"

OFF ON OFF OFF OFF FR2832542 filed 16th Nov.2001, US6385082

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Thermally assisted writing in TA-MRAM

Heating + Field~2.5mT

ON Magnetic field for switching Temperature

20°C 200°C 50mT 2mT

Exchange biased storage layer

High TB ~300°C Low TB ~160°C

Reference

Storage

Ta (100 Å) PtMn (200 Å) CoFe 30 Å) Ru (8 Å) CoFe (25 Å)

AlOx or MgO

CoFe (25 Å) IrMn (60 Å) Ru (20 Å) Ta (50 Å)

  • heat the storage layer above the low TB
  • 200
  • 100

100 200 950 960 970 980

R (k)

H (Oe)

 

6 7 8 9

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   

t1=20 ns

Best operating region Jheating~106A/cm²

Heating Dynamics in TA-MRAM

  Adiabatic heating of junction Adiabatic heating of junction

Ewrite=CT  Pwrite=CT/t

  Heat diffusion Heat diffusion towards the leads towards the leads

100nm MTJ pillar etched by RIE

No switching Switching

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Cooling dynamics in TA-MRAM

Characteristic cooling time~15ns. TA-MRAM cycle time ~30ns

20 40 60 80 100

  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0

Pulse delay (ns) Tem perature Decay (a.u.)

Lot H343 - P25

LDPL geom etry Fit  = 6.4 ns

Bit line

MTJ Pre-heating pulse Double-pulse method for measuring cooling dynamics (C.Papusoi, J.Hérault): Probing pulse

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Combining spin-transfer with thermally assisted writing

The same bipolar current flowing through the cell is used to both temporarily heat the cell and apply a spin transfer torque to switch the magnetization of the storage layer.

OFF

"0"

Heating + Switching Cooling

ON OFF

"1"

OFF ON OFF OFF OFF Heating+ Switching by STT

Experimental demonstration:

Approach offering the ultimate scalability (sub-15nm cell-size possible) With stability of information over 10 years.

Resistance () after successive pulses of write current N° of write current pulses

Barrière tunnel MgO Couche de référence Couche de stockage

PtMn CoFe Ru CoFe CoFe NiFe IrMn PtMn CoFe Ru CoFe CoFe NiFe IrMn Buffer Buffer

Storage layer MgO barrier Reference layer

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Scalability of TA-MRAM

Heating+ pulse of magnetic field~2.5mT: Scalability limited by electromigration in bit line (field generation) @ 45nm Heating+ STT: Same bipolar CPP current used to heat and switch; No Physical limit in downscaling from magnetic point of view down a few nm; Can be implemented with :

  • in-plane magnetized material

(exchange biased storage layer)

  • perpendicular-to-plane magnetized material

(variation of Ms or K with T)

Layout of 1Mbit TA-MRAM demonstrator from Crocus Technology

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New hybrid CMOS/MTJ architectures for non-volatile logic

DRAM, SRAM: volatile. Cannot be switched off without loosing information However, increasing leakage current with downsizing (thinner gate oxide)

Major benefit in introducing non-volatility in CMOS components in terms of energy savings Power consumption in CMOS electronic circuit per inch²

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With CMOS technology only:

Si Si

Logic Logic

CMOS memory CMOS memory Slow communication between logic and memory

  • few long interconnections
  • complexity of interconnecting paths
  • larger occupancy on wafer

With hybrid CMOS/magnetic:

Si Si

Logic Logic MTJs MTJs Tighter integration between logic and memories

Same technology as for MRAM Benefit from “Above IC” technology Non-volatility in logic Large energy saving Fast communication between logic and memory

  • numerous short vias
  • simpler interconnecting paths
  • Smaller occupancy on wafer

New paradigm for architecture of complex electronic circuit (microprocessors...)

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– Based on Dynamic Current Mode Logic

– Dynamic consumption reduction – Footprint reduction

MTJs

– One input is made non-volatile (instant startup, security) – Drastic static consumption reduction – Footprint reduction

– Demonstrator : CMOS 0.18µm, – MTJs size: 200X100nm²

S.Matsunaga et al, Applied Physics Express, vol. 1, 2008.

Magnetic Full Adder (Hitachi, Tohoku University)

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Magnetic look-up table (100% of functional coverage)

MTJ used as variable resistances to change the switching threshold of CMOS components

Reprogrammable hybrid CMOS/MTJ logic gates

Twin MTJ Twin MTJ Twin MTJ Twin MTJ Twin MTJ Twin MTJ Twin MTJ Twin MTJ

Example: Reprogrammable logic gate with 3 inputs The same hybrid CMOS/MTJ component can realize the 256 possible Boolean functions of a logic gate with 3 inputs (100% functional coverage). Each function is defined by a particular configuration of the set of 8 twin MTJ cells

Free layer Pinned layer MTJ1 (Parallel) MTJ2 (Antiparallel) Free layer Pinned layer MTJ1 (Parallel) MTJ2 (Antiparallel)

Twin MTJs: Via for switching field generation

Simulations of reprogrammability taking into account CMOS and magnetic process variations

Extremelly fast reprogrammation

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RF components based on spin transfer

Kiselev et. al., Nature 425,

  • p. 380 (2003)

Rippard et. al.,

  • Phys. Rev. Lett.

92, p. 27201 (2004)

Uac Idc

Current Induced Steady State Oscillations

Q=18200 Q=2700

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RF oscillator with perpendicular to plane polarizer

Cu PtMn Cu

CoFe CoFe Al2O3 (Pt/Co)

Injection of electrons with out-of-plane spins; Steady precession of the magnetization

  • f the soft layer adjacent to the tunnel barrier.

Precession (2GHz-40GHz) + Tunnel MR  RF voltage Interesting for frequency tunable RF oscillators  Radio opportunism

J

(SPINTEC patent + Lee et al, Appl.Phys.Lett.86, 022505 (2005) )

D.Houssamedine et al, Nat.Mat 2007

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Dynamic Spectra and Dynamic Diagram

2 3 4 0,0 0,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0 P (nV

2/Hz)

f (Ghz) 2 3 4 f (GHz)

Hbeff= 9 Oe

0.3

IDC

0.7 0.9 1.1 0.5 1.3 1.5

f1 f2 f2 f1 f2 f1 Jc(Hbeff) J<0 J>0

  • 0.3

IDC

  • 0.7
  • 0.9
  • 1.1
  • 0.5
  • 1.3
  • 1.5

IRL P AP

Hbeff= 9 Oe

  • D. Houssameddine et al.

Nature Materials 6, 447 (2007)

  • 300
  • 200
  • 100

100 200 300

  • 15
  • 10
  • 5

5 10 15

J (10

7 A/cm²)

Hb

IPS 0° IPS 180° OPP OPS OPP OPS

O° 180°

Macrospin simulated phase diagram calculated from LLG equation with spin-transfer term

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II II I I

J* J*

Simulations* for

  • circular dot of 60 nm Ø
  • Hu=15 Oe, Hb=0 Oe
  • =0.01

f

1

f2 Experiment Simulation

J<J*

  • 1.06 10 7 A/cm²

« S » macrospin

Mz/Ms Mz/Ms Mz/Ms

HOe=0 « onion » distortion J>J*

  • 3.2 10 7 A/cm²

« C » distortion J*< JJV

  • 4.6 10 7 A/cm²

stable vortex J>JV

<-5 10 7 A/cm²

vortex

JV JV Macrospin  No HOe  With HOe

Micromagnetic simulations with perpendicular polarizer

0,4 0,5

IPS

0,4 0,5

IPS

OPP

0,4 0,5

IPS

0,4 0,5

IPS

OPP

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7.0 7.2 7.4 7.6 7.8 8.0 500 1000 1500 2000 2500

PS D (nV

2/Hz)

f (Ghz)

575.0 Oe -0.90 mA

Δf = 25 MHz Δf = 26 MHz

7.0 7.2 7.4 7.6 7.8 8.0 5 10 15 20 25

A (a.u.) f (Ghz)

FFT

Time domain versus spectral domain characterization of STT oscillators

Spectrum analyzer linewidth = long time scale linewidth

Time domain measurement

Few µs

Spectral measurement

Several ms

5 10 15 x 10

  • 8
  • 0.02
  • 0.015
  • 0.01
  • 0.005

0.005 0.01 0.015 0.02

t (s) V (V)

0.90 mA

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Frequency vs Time f (Hz) t (s) 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 x 10

9

2 4 6 8 10 12 x 10

  • 7

Short time scale linewidth

0.90 mA 1.25 µs Frequency fluctuation

Time scale 10 ns

Two contributions to linewidth ■ Frequency variations (influence of thermal fluctuations on excitation modes) ■ Intrinsic linewidth (below 1MHz) “Intrinsic” linewidth

Resolution limited linewidth

7.50 7.52 7.54 7.56 7.58 7.60 7.62 7.64 0.0 0.2 0.4 0.6 0.8 1.0

Normalized PSD f (GHz)

Δf < 1 MHz Δf = 26 MHz

10 MHz resolution

Time evolution of frequency Narrow intrinsic linewidth makes STT oscillators promising for wireless communication applications

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Precessional switching in MRAM cell with perpendicular polarizer

Cu PtMn Cu

CoFe CoFe Al2O3, MgO (Pt/Co)

J MRAM cell: planar MTJ+perpendicular polarizer

Cu or lower RA MgO

Switching by monopolar pulse of current

  • f duration ~half precession period

(30ps-300ps)

Current pulse shape

50 ps 150 ps

J t PSW=0 PSW=1 Macrospin LLG calculation at 0K assuming STT from perpendicular polarizer only. 70nm*140nm elliptical , CoFe 3nm 0° 180° 360° 540° 720°

P AP P AP P

Same pulse duration for PAP and AP P

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  • Set a given configuration (P or AP)
  • Apply a pulse of current of given

amplitude and duration.

  • Measure a posteriori the resistance of

the stack to determine its magnetic state.

  • Repeat 100 times for statistics of

switching probability Precessional switching in MRAM cell with perpendicular polarizer (cont’d)

Perpendicular polarizer (Pt/[Co/Pt]n/Co/Cu/Co) Metallic spacer (Cu) Metallic spacer (Cu) Free layer (NiFe 3/Co0.5nm) In-plane analyzer (Co/IrMn)

IDC H

Ipulse

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0.0 0.5 1.0 1.5 2.0 0.0 0.2 0.4 0.6 0.8 1.0

Upulse = 158 mV

Switching probability (a.u.)

Pulse width (ns)

Experiment repeated 100 times for each pulse width and amplitude Ultrafast switching at RT P P AP AP Damped oscillation in the switching probability at RT:

  • Influence of thermal fluctuations which

induces a loss of coherence;

  • Influence of Oersted field during the current

pulse Switching in 400ps. Reasonable order of magnitude considering that precession frequency~2- 3GHz ellipse 200x100 nm Ni80Fe20 3/Co 0.5 nm Precessional switching in MRAM cell with perpendicular polarizer (cont’d)

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SLIDE 45

ESM 2009 09/09/09 B.Dieny

Conclusion

  • GMR discovery has triggered the development of spin-electronics.

Played a key role in magnetic recording and other sensor applications;

  • Spin-valve magnetic concept (free/pinned by exchange anisotropy) also used

in MTJ  Spin engineering;

  • Spin-transfer offers a new way to manipulate the magnetization of magnetic

nanostructures (switching, steady excitations)

  • For CMOS/magnetic integration, MTJ offers more suitable impedance

~few k and larger magnetoresistance than GMR;

  • Increasing interest for MRAM in microelectronics world;
  • Besides MRAM, CMOS/MTJ integration quite interesting for logic,

reprogrammable logic, innovative architecture.

  • Frequency tunable RF oscillators interesting for wireless communications, RF

interconnects.

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SLIDE 46

ESM 2009 09/09/09 B.Dieny

Precession

) ( ) ( ) ( P M M M M H M M         Ms a dt d Ms dt d

J eff

   

Damping Spin torque (ST) Perpendicular versus Planar Polarizer

  • A. N. Slavin et al PRB 72, 94428 (2005)

In-Plane Precession IPP Out-of-Plane Precession OPP

FL Pol

Cu

Small angle precession around polarizer axis Large angle precession around out-of- plane axis M

Spin torque Spin torque Damping Damping Torque Torque

M

Spin torque Spin torque Damping Damping Torque Torque

Cu

FL Pol

  • J. C. Slonczewski

JMMM 157, (1996)

  • O. Redon, B.Dieny

US6,532,164 (2002)

  • A. Kent et al.

APL 84 (2004)

  • K. J. Lee et al.

APL 86 (2005) MgO

Ana

TMR