SlideShare a Scribd company logo
Fe/Bi₂Te₃/Fe Tunneling
Magneto-Resistance
with topological
insulator barrier
Vallery Salomon and Dereje Seifu,
Department of Physics,
Morgan State University, Baltimore, MD 21251
ABSTRACT
Thin film tri-layer structure Fe/Bi2Te3/Fe was synthesized using
magnetron DC / RF sputtering. This sample was synthesized at a
substrate temperature of 100C. It was studied using in-house built
magneto-optic Kerr effect (MOKE) instrument. The operating
principles of MOKE consist of measuring changes in polarization
of light reflected from a magnetic sample. The bulk magnetization
was measured using vibrating sample magnetometer (VSM).
Tunnel magneto-resistance (TMR) effect occurs in a structure that
is composed of two conductors separated by a thin insulator of the
order of few nanometers, the insulator barrier in this case is a well
known topological insulator, Bi2Te3. In this structure, electrons
tunnel from one of the conductors to the other through the
insulating barrier. This is a forbidden process in classical physics,
tunnel magneto-resistance is a purely quantum mechanical effect
which is key in developing magnetoresistive random access
memory (MRAM), magnetic sensors, and novel logic devices.
Sample Synthesis
• A DC / RF magnetron sputtering system was used to synthesize
multi-layered thin film of Fe/Bi2/Te3/Fe on MgO(100).
• Fe films with thickness 50 nm were deposited at 100 degrees
• A 5 nm layer of Bi2/Te3 was deposited at RT.
Magneto-Optic Kerr Effect
(MOKE) Schematic
Electronic Component of
MOKE
1.Computer display of hysteresis loop
during measurement.
2.PEM-100 Controller-photo elastic
modulator (PEM) modulates the
polarization of the laser light
passing through the PEM optical
head by50kH
3. SRS Preamplifier-converts current
signal from the photo diode to
voltage Signal and feeds it to the
Lock-in-Amplifier
4.SRS Lock-in amplifier (LIA) – is used
to increase signal to noise ratio
5.BOP Power supply-Supplies current
to the electromagnet in response
to a signal from LIA’s auxiliary
output.
6.Computer system interfaced with
electronic parts of MOKE.
Optical Part of MOKE
Wavelength and 5mW output power
8. Polarizer-linearly polarize light and allows linearly
polarized light at 45 from the vertical to pass
through
2b. PEM Optical head-modulates the polarization of the
laser light passing through. It is connected to the
lock-in amplifier reference input so only the
modulated light forms the signal.
9. Electromagnet-The sample is placed in a varying
magnetic field at the center of the electromagnet
10. Sample holder-used to hold the sample in place and
rotates in a plane perpendicular to the direction
of the light
11. Analyzer-crossed with the polarizer minimizing
light passing through it so that to only let through
the part of light whose polarization is rotated due
to reflection from a ferromagnetic sample in an
external magnetic field.
12. Photo diode- collects light waves and converts it to a
current signal which is fed to the pre-amplifier,
which then converts the current signal to a
voltage signal which is then fed to the Lock-in
amplifier
MOKE
MOKE (Azimuthal Plot)
100
200
300
30
210
60
240
90
270
120
300
150
330
180 0
MOKE Angle vs Hc
Angle
Hc
Hc (Oe) vs Angle using MOKE
266
268
270
272
274
276
278
280
282
284
0 50 100 150 200 250 300 350 400
Hc(Oe)
Angle
Angle vs Hc (Oe)
VSM of Fe/Bi2Te3/Fe on
MgO(100) grown at T=100C
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
0.0025
-1.50E+03 -1.00E+03 -5.00E+02 0.00E+00 5.00E+02 1.00E+03 1.50E+03
Magnetization(emu)
Applied Field (Oe)
90 Degrees
45 Degrees
0 Degrees
Hysteresis at Various Low
Temperature Measurements
-3.00E-03
-2.00E-03
-1.00E-03
0.00E+00
1.00E-03
2.00E-03
3.00E-03
-2.00E+03 -1.50E+03 -1.00E+03 -5.00E+02 0.00E+00 5.00E+02 1.00E+03 1.50E+03 2.00E+03
M(emu)
Hc (Oe)
-192.16 C
-153.41
-93.33 C
300k
Variation of Hc, Ms, & Mr using
VSM
0.00E+00
5.00E-04
1.00E-03
1.50E-03
2.00E-03
2.50E-03
0
50
100
150
200
250
300
0 10 20 30 40 50 60 70 80 90 100
Hc(Oe)
Angle
Hc(Oe)
Ms(emu)
Mr(emu)
Conclusion
• From VSM data, at 45 degrees the coercive field was
maximum, at value 243.9 Oe.
• The Mr and Ms values were maximum at 0 degrees.
• The Azimuthal graph of MOKE shows that the material does
not have substantial anisotropy.
• In MOKE the difference between the maximum and minimum
Hc values is 15 Oe, measured using longitudinal MOKE.
• The difference between the surface coercive field measured
using MOKE and bulk coercive field measure using MOKE is
found to be 38 Oe.
• In the near future AFM / MFM and MR measurements will be
performed on this system.
Acknowledgements
We would like to acknowledge support by
ARL W911NF-12-2-0041 and
by NSF MRI -DMR-1337339.
Thank you

More Related Content

What's hot

MAGNETIC OPTICAL CURRENT TRANSFORMER
MAGNETIC OPTICAL CURRENT TRANSFORMERMAGNETIC OPTICAL CURRENT TRANSFORMER
MAGNETIC OPTICAL CURRENT TRANSFORMERMuhammad Afzal
 
Magneto optics applications
Magneto optics applicationsMagneto optics applications
Magneto optics applicationsMarco Koschny
 
Capacitive MEMS Accelerometer
Capacitive MEMS AccelerometerCapacitive MEMS Accelerometer
Capacitive MEMS AccelerometerWaleed Niaz
 
Polarisation maintaining fiber
Polarisation maintaining fiberPolarisation maintaining fiber
Polarisation maintaining fiberumangramani93
 
Scholarship Sewanee poster 2014
Scholarship Sewanee poster 2014Scholarship Sewanee poster 2014
Scholarship Sewanee poster 2014Frank Odom III
 
Effect of Shading on Photovoltaic Cell
Effect of Shading on Photovoltaic CellEffect of Shading on Photovoltaic Cell
Effect of Shading on Photovoltaic CellIOSR Journals
 
A brief introduction to Spintronics
A brief introduction to SpintronicsA brief introduction to Spintronics
A brief introduction to SpintronicsRam Kumar K R
 
Emp gun file details
Emp gun file detailsEmp gun file details
Emp gun file detailsMauryaPatel4
 
Detecção de descargas elétricas em mancal de rolamento
Detecção de descargas elétricas em mancal de rolamentoDetecção de descargas elétricas em mancal de rolamento
Detecção de descargas elétricas em mancal de rolamentoCelso LS
 
1996 a calibrated scanning tunneling microscope equipped with capacitive sensors
1996 a calibrated scanning tunneling microscope equipped with capacitive sensors1996 a calibrated scanning tunneling microscope equipped with capacitive sensors
1996 a calibrated scanning tunneling microscope equipped with capacitive sensorspmloscholte
 
Partial Shade Detection for PV Solar Panels via CUSUM Algorithm
Partial Shade Detection for PV Solar Panels via CUSUM AlgorithmPartial Shade Detection for PV Solar Panels via CUSUM Algorithm
Partial Shade Detection for PV Solar Panels via CUSUM AlgorithmUzair Akbar
 

What's hot (20)

Dc generator
Dc generatorDc generator
Dc generator
 
MAGNETIC OPTICAL CURRENT TRANSFORMER
MAGNETIC OPTICAL CURRENT TRANSFORMERMAGNETIC OPTICAL CURRENT TRANSFORMER
MAGNETIC OPTICAL CURRENT TRANSFORMER
 
Magneto optics applications
Magneto optics applicationsMagneto optics applications
Magneto optics applications
 
Capacitive MEMS Accelerometer
Capacitive MEMS AccelerometerCapacitive MEMS Accelerometer
Capacitive MEMS Accelerometer
 
Electro-optic modulators
Electro-optic modulatorsElectro-optic modulators
Electro-optic modulators
 
MOCT
MOCTMOCT
MOCT
 
Polarisation maintaining fiber
Polarisation maintaining fiberPolarisation maintaining fiber
Polarisation maintaining fiber
 
Scholarship Sewanee poster 2014
Scholarship Sewanee poster 2014Scholarship Sewanee poster 2014
Scholarship Sewanee poster 2014
 
Spintronics
SpintronicsSpintronics
Spintronics
 
Effect of Shading on Photovoltaic Cell
Effect of Shading on Photovoltaic CellEffect of Shading on Photovoltaic Cell
Effect of Shading on Photovoltaic Cell
 
Spintronics
SpintronicsSpintronics
Spintronics
 
2
22
2
 
A brief introduction to Spintronics
A brief introduction to SpintronicsA brief introduction to Spintronics
A brief introduction to Spintronics
 
MEMS CAPACITIVE ACCELEROMETER
MEMS CAPACITIVE ACCELEROMETERMEMS CAPACITIVE ACCELEROMETER
MEMS CAPACITIVE ACCELEROMETER
 
Spintronics
SpintronicsSpintronics
Spintronics
 
presentation
presentationpresentation
presentation
 
Emp gun file details
Emp gun file detailsEmp gun file details
Emp gun file details
 
Detecção de descargas elétricas em mancal de rolamento
Detecção de descargas elétricas em mancal de rolamentoDetecção de descargas elétricas em mancal de rolamento
Detecção de descargas elétricas em mancal de rolamento
 
1996 a calibrated scanning tunneling microscope equipped with capacitive sensors
1996 a calibrated scanning tunneling microscope equipped with capacitive sensors1996 a calibrated scanning tunneling microscope equipped with capacitive sensors
1996 a calibrated scanning tunneling microscope equipped with capacitive sensors
 
Partial Shade Detection for PV Solar Panels via CUSUM Algorithm
Partial Shade Detection for PV Solar Panels via CUSUM AlgorithmPartial Shade Detection for PV Solar Panels via CUSUM Algorithm
Partial Shade Detection for PV Solar Panels via CUSUM Algorithm
 

Viewers also liked

Optical modulator (8,12,17,29)
Optical modulator (8,12,17,29)Optical modulator (8,12,17,29)
Optical modulator (8,12,17,29)boneychatterjee
 
Is it a good time to be buying property?
Is it a good time to be buying property?Is it a good time to be buying property?
Is it a good time to be buying property?Josh Golombick
 
Pakuranga Library Trip
Pakuranga Library TripPakuranga Library Trip
Pakuranga Library Tripsusieallen14
 
Shooting Percentage
Shooting PercentageShooting Percentage
Shooting Percentagedylankissack
 
Individualni konsalting za menadžere
Individualni konsalting za menadžereIndividualni konsalting za menadžere
Individualni konsalting za menadžereNeda Mirkovic
 
Calendario 1ª fase 2015 2016
Calendario 1ª fase 2015 2016Calendario 1ª fase 2015 2016
Calendario 1ª fase 2015 2016Alberto Aguilera
 
124815-340471-1-SM
124815-340471-1-SM124815-340471-1-SM
124815-340471-1-SMTesema Elias
 
Unidad II - Pasado simple (simple past)
Unidad II - Pasado simple (simple past)Unidad II - Pasado simple (simple past)
Unidad II - Pasado simple (simple past)Luis Antonio Siza
 
Redes aguilar vargas
Redes aguilar vargas Redes aguilar vargas
Redes aguilar vargas elizatlv29
 
Service design: innovation for the employed "A better A&E in hospitals"
Service design: innovation for the employed "A better A&E in hospitals"Service design: innovation for the employed "A better A&E in hospitals"
Service design: innovation for the employed "A better A&E in hospitals"ESF Vlaanderen
 

Viewers also liked (20)

Bragg grating all optical switches
Bragg grating all optical switchesBragg grating all optical switches
Bragg grating all optical switches
 
Chapter 3b
Chapter 3bChapter 3b
Chapter 3b
 
Optical modulator (8,12,17,29)
Optical modulator (8,12,17,29)Optical modulator (8,12,17,29)
Optical modulator (8,12,17,29)
 
jurabevis
jurabevisjurabevis
jurabevis
 
Is it a good time to be buying property?
Is it a good time to be buying property?Is it a good time to be buying property?
Is it a good time to be buying property?
 
Pakuranga Library Trip
Pakuranga Library TripPakuranga Library Trip
Pakuranga Library Trip
 
Bragdon
BragdonBragdon
Bragdon
 
Napza
NapzaNapza
Napza
 
Stay away from me
Stay away from meStay away from me
Stay away from me
 
Shooting Percentage
Shooting PercentageShooting Percentage
Shooting Percentage
 
Public Squash Foundation
Public Squash FoundationPublic Squash Foundation
Public Squash Foundation
 
Individualni konsalting za menadžere
Individualni konsalting za menadžereIndividualni konsalting za menadžere
Individualni konsalting za menadžere
 
Calendario 1ª fase 2015 2016
Calendario 1ª fase 2015 2016Calendario 1ª fase 2015 2016
Calendario 1ª fase 2015 2016
 
124815-340471-1-SM
124815-340471-1-SM124815-340471-1-SM
124815-340471-1-SM
 
Gnesis Invest
Gnesis InvestGnesis Invest
Gnesis Invest
 
Ingles
InglesIngles
Ingles
 
Unidad II - Pasado simple (simple past)
Unidad II - Pasado simple (simple past)Unidad II - Pasado simple (simple past)
Unidad II - Pasado simple (simple past)
 
Redes aguilar vargas
Redes aguilar vargas Redes aguilar vargas
Redes aguilar vargas
 
Service design: innovation for the employed "A better A&E in hospitals"
Service design: innovation for the employed "A better A&E in hospitals"Service design: innovation for the employed "A better A&E in hospitals"
Service design: innovation for the employed "A better A&E in hospitals"
 
The Halal Economy Landscape
The Halal Economy LandscapeThe Halal Economy Landscape
The Halal Economy Landscape
 

Similar to Topological Presentation

Ceia induction heatingprinciples_fc040k0068v1uk (2)
Ceia induction heatingprinciples_fc040k0068v1uk (2)Ceia induction heatingprinciples_fc040k0068v1uk (2)
Ceia induction heatingprinciples_fc040k0068v1uk (2)zahidhussain986147
 
Layered memristive and memcapacitive switches for printable electronics
Layered memristive and memcapacitive switches for printable electronicsLayered memristive and memcapacitive switches for printable electronics
Layered memristive and memcapacitive switches for printable electronicsThe Skolkovo Foundation
 
Optical Current Transformer
Optical Current Transformer Optical Current Transformer
Optical Current Transformer Debasis Mohanty
 
Optical current transformer and its applications
Optical current transformer and its applicationsOptical current transformer and its applications
Optical current transformer and its applicationsNaruto20221
 
Optical Current Transformer (OCT)
Optical Current Transformer (OCT)Optical Current Transformer (OCT)
Optical Current Transformer (OCT)Seminar Links
 
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...IJECEIAES
 
Thermal Condition and Losses in Ultra-High-Speed Generators
Thermal Condition and Losses in Ultra-High-Speed GeneratorsThermal Condition and Losses in Ultra-High-Speed Generators
Thermal Condition and Losses in Ultra-High-Speed GeneratorsTELKOMNIKA JOURNAL
 
Microwave photonics main
Microwave photonics mainMicrowave photonics main
Microwave photonics mainAyush Kumar
 
Moct magneto-optic-current-transformer
Moct magneto-optic-current-transformerMoct magneto-optic-current-transformer
Moct magneto-optic-current-transformerLaxmikant Sain
 
solar power charge controller
solar power charge controllersolar power charge controller
solar power charge controllerbhavana kanisetty
 
Emi free dc-dc buck converter for aerospace
Emi free dc-dc buck converter for aerospaceEmi free dc-dc buck converter for aerospace
Emi free dc-dc buck converter for aerospaceeSAT Publishing House
 
Spin valve transistor
Spin valve transistorSpin valve transistor
Spin valve transistorEeshan Mishra
 
Experiment 3 - Pulse Amplitude Modulator (PAM)
Experiment 3  -  Pulse Amplitude Modulator (PAM)Experiment 3  -  Pulse Amplitude Modulator (PAM)
Experiment 3 - Pulse Amplitude Modulator (PAM)AIMST University
 
Fuzzy Sliding Mode Control for Photovoltaic System
Fuzzy Sliding Mode Control for Photovoltaic SystemFuzzy Sliding Mode Control for Photovoltaic System
Fuzzy Sliding Mode Control for Photovoltaic SystemIJPEDS-IAES
 

Similar to Topological Presentation (20)

Ceia induction heatingprinciples_fc040k0068v1uk (2)
Ceia induction heatingprinciples_fc040k0068v1uk (2)Ceia induction heatingprinciples_fc040k0068v1uk (2)
Ceia induction heatingprinciples_fc040k0068v1uk (2)
 
Layered memristive and memcapacitive switches for printable electronics
Layered memristive and memcapacitive switches for printable electronicsLayered memristive and memcapacitive switches for printable electronics
Layered memristive and memcapacitive switches for printable electronics
 
Optical Current Transformer
Optical Current Transformer Optical Current Transformer
Optical Current Transformer
 
Optical current transformer and its applications
Optical current transformer and its applicationsOptical current transformer and its applications
Optical current transformer and its applications
 
Optical Current Transformer (OCT)
Optical Current Transformer (OCT)Optical Current Transformer (OCT)
Optical Current Transformer (OCT)
 
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...
Design of 2MHz OOK transmitter/receiver for inductive power and data transmis...
 
Thermal Condition and Losses in Ultra-High-Speed Generators
Thermal Condition and Losses in Ultra-High-Speed GeneratorsThermal Condition and Losses in Ultra-High-Speed Generators
Thermal Condition and Losses in Ultra-High-Speed Generators
 
Microwave photonics main
Microwave photonics mainMicrowave photonics main
Microwave photonics main
 
E mintro
E mintroE mintro
E mintro
 
Moct magneto-optic-current-transformer
Moct magneto-optic-current-transformerMoct magneto-optic-current-transformer
Moct magneto-optic-current-transformer
 
solar power charge controller
solar power charge controllersolar power charge controller
solar power charge controller
 
Emi free dc-dc buck converter for aerospace
Emi free dc-dc buck converter for aerospaceEmi free dc-dc buck converter for aerospace
Emi free dc-dc buck converter for aerospace
 
Spin valve transistor
Spin valve transistorSpin valve transistor
Spin valve transistor
 
poster presentation
 poster presentation poster presentation
poster presentation
 
Experiment 3 - Pulse Amplitude Modulator (PAM)
Experiment 3  -  Pulse Amplitude Modulator (PAM)Experiment 3  -  Pulse Amplitude Modulator (PAM)
Experiment 3 - Pulse Amplitude Modulator (PAM)
 
D43052327
D43052327D43052327
D43052327
 
17 session 2 fey - example sensitivity analysis
17 session 2   fey - example sensitivity analysis17 session 2   fey - example sensitivity analysis
17 session 2 fey - example sensitivity analysis
 
Fuzzy Sliding Mode Control for Photovoltaic System
Fuzzy Sliding Mode Control for Photovoltaic SystemFuzzy Sliding Mode Control for Photovoltaic System
Fuzzy Sliding Mode Control for Photovoltaic System
 
Presentation v4.1
Presentation v4.1Presentation v4.1
Presentation v4.1
 
Solar panel ppt
Solar panel pptSolar panel ppt
Solar panel ppt
 

Topological Presentation

  • 1. Fe/Bi₂Te₃/Fe Tunneling Magneto-Resistance with topological insulator barrier Vallery Salomon and Dereje Seifu, Department of Physics, Morgan State University, Baltimore, MD 21251
  • 2. ABSTRACT Thin film tri-layer structure Fe/Bi2Te3/Fe was synthesized using magnetron DC / RF sputtering. This sample was synthesized at a substrate temperature of 100C. It was studied using in-house built magneto-optic Kerr effect (MOKE) instrument. The operating principles of MOKE consist of measuring changes in polarization of light reflected from a magnetic sample. The bulk magnetization was measured using vibrating sample magnetometer (VSM). Tunnel magneto-resistance (TMR) effect occurs in a structure that is composed of two conductors separated by a thin insulator of the order of few nanometers, the insulator barrier in this case is a well known topological insulator, Bi2Te3. In this structure, electrons tunnel from one of the conductors to the other through the insulating barrier. This is a forbidden process in classical physics, tunnel magneto-resistance is a purely quantum mechanical effect which is key in developing magnetoresistive random access memory (MRAM), magnetic sensors, and novel logic devices.
  • 3. Sample Synthesis • A DC / RF magnetron sputtering system was used to synthesize multi-layered thin film of Fe/Bi2/Te3/Fe on MgO(100). • Fe films with thickness 50 nm were deposited at 100 degrees • A 5 nm layer of Bi2/Te3 was deposited at RT.
  • 5. Electronic Component of MOKE 1.Computer display of hysteresis loop during measurement. 2.PEM-100 Controller-photo elastic modulator (PEM) modulates the polarization of the laser light passing through the PEM optical head by50kH 3. SRS Preamplifier-converts current signal from the photo diode to voltage Signal and feeds it to the Lock-in-Amplifier 4.SRS Lock-in amplifier (LIA) – is used to increase signal to noise ratio 5.BOP Power supply-Supplies current to the electromagnet in response to a signal from LIA’s auxiliary output. 6.Computer system interfaced with electronic parts of MOKE.
  • 6. Optical Part of MOKE Wavelength and 5mW output power 8. Polarizer-linearly polarize light and allows linearly polarized light at 45 from the vertical to pass through 2b. PEM Optical head-modulates the polarization of the laser light passing through. It is connected to the lock-in amplifier reference input so only the modulated light forms the signal. 9. Electromagnet-The sample is placed in a varying magnetic field at the center of the electromagnet 10. Sample holder-used to hold the sample in place and rotates in a plane perpendicular to the direction of the light 11. Analyzer-crossed with the polarizer minimizing light passing through it so that to only let through the part of light whose polarization is rotated due to reflection from a ferromagnetic sample in an external magnetic field. 12. Photo diode- collects light waves and converts it to a current signal which is fed to the pre-amplifier, which then converts the current signal to a voltage signal which is then fed to the Lock-in amplifier
  • 7.
  • 10. Hc (Oe) vs Angle using MOKE 266 268 270 272 274 276 278 280 282 284 0 50 100 150 200 250 300 350 400 Hc(Oe) Angle Angle vs Hc (Oe)
  • 11. VSM of Fe/Bi2Te3/Fe on MgO(100) grown at T=100C -0.0025 -0.002 -0.0015 -0.001 -0.0005 0 0.0005 0.001 0.0015 0.002 0.0025 -1.50E+03 -1.00E+03 -5.00E+02 0.00E+00 5.00E+02 1.00E+03 1.50E+03 Magnetization(emu) Applied Field (Oe) 90 Degrees 45 Degrees 0 Degrees
  • 12. Hysteresis at Various Low Temperature Measurements -3.00E-03 -2.00E-03 -1.00E-03 0.00E+00 1.00E-03 2.00E-03 3.00E-03 -2.00E+03 -1.50E+03 -1.00E+03 -5.00E+02 0.00E+00 5.00E+02 1.00E+03 1.50E+03 2.00E+03 M(emu) Hc (Oe) -192.16 C -153.41 -93.33 C 300k
  • 13. Variation of Hc, Ms, & Mr using VSM 0.00E+00 5.00E-04 1.00E-03 1.50E-03 2.00E-03 2.50E-03 0 50 100 150 200 250 300 0 10 20 30 40 50 60 70 80 90 100 Hc(Oe) Angle Hc(Oe) Ms(emu) Mr(emu)
  • 14. Conclusion • From VSM data, at 45 degrees the coercive field was maximum, at value 243.9 Oe. • The Mr and Ms values were maximum at 0 degrees. • The Azimuthal graph of MOKE shows that the material does not have substantial anisotropy. • In MOKE the difference between the maximum and minimum Hc values is 15 Oe, measured using longitudinal MOKE. • The difference between the surface coercive field measured using MOKE and bulk coercive field measure using MOKE is found to be 38 Oe. • In the near future AFM / MFM and MR measurements will be performed on this system.
  • 15. Acknowledgements We would like to acknowledge support by ARL W911NF-12-2-0041 and by NSF MRI -DMR-1337339. Thank you