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大学物理实验报告英文版

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2021-02-02 17:52
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2021年2月2日发(作者:autumn怎么读)


大学物理实验报告



Ferroelectric Control of Spin Polarization



ABSTRACT



A


current


drawback


of


spintronics


is


the


large


power


that


is


usually


required


for


magnetic


writing,


in


contrast


with


nanoelectronics,


which


relies


on


“zero


-


current,”


gate


-controlled


operations.


Efforts


have


been


made


to


control


the


spin-relaxation


rate,


the


Curie


temperature,


or


the


magnetic


anisotropy with a gate voltage, but these effects are usually small and volatile. We used


ferroelectric tunnel junctions with ferromagnetic electrodes to demonstrate local, large, and


nonvolatile control of carrier spin polarization by electrically switching ferroelectric


polarization. Our results represent a giant type of interfacial magnetoelectric coupling and


suggest a low-power approach for spin-based information control.



Controlling the spin degree of freedom by purely electrical means is currently an


important challenge in spintronics (


1


,


2


). Approaches based on spin-transfer torque


(


3


) have proven very successful in controlling the direction of magnetization in a


ferromagnetic


layer,


but


they


require


the


injection


of


high


current


densities.


An


ideal


solution would rely on the application of an electric field across an insulator, as in


existing nanoelectronics. Early experiments have


demonstrated


the volatile modulation


of spin-based properties with a gate voltage applied through a dielectric. Notable


examples


include the gate control


of the spin-orbit interaction in


III-V


quantum


wells


(


4


), the Curie temperature


T


C



(


5


), or the magnetic anisotropy (


6


) in magnetic


semiconductors with carrier- mediated exchange interactions;


for example, (Ga,Mn)As or


(In,Mn)As. Electric field



induced modifications of magnetic anisotropy at room


temperature have also been reported recently in ultrathin Fe-based layers (


7


,


8


).



A nonvolatile extension of this approach involves replacing the gate dielectric by a


ferroelectric and taking advantage of the hysteretic response of its order parameter


(polarization) with an electric field. When combined with (Ga,Mn)As channels, for


instance, a remanent control of


T


C



over a few kelvin was achieved through


polarization-driven charge depletion/accumulation (


9


,


10


), and the magnetic


anisotropy was modified by the coupling of piezoelectricity and magnetostriction


(


11


,


12


).


Indications


of


an


electrical


control


of


magnetization


have


also


been


provided


in magnetoelectric heterostructures at room temperature (


1 3



17


).



Recently,


several


theoretical


studies


have


predicted


that


large


variations


of


magnetic


properties


may


occur


at


interfaces


between


ferroelectrics


and

high-


T


C



ferromagnets


such


as


Fe


(


18



20


),


Co


2


MnSi


(


21


),


or


Fe


3


O


4



(


22


).


Changing


the


direction


of


the


ferroelectric


polarization has been predicted to influence not only the interfacial anisotropy and


magnetization, but also the spin polarization. Spin polarization [., the normalized


difference


in


the


density


of


states


(DOS)


of


majority


and


minority


spin


carriers


at


the


Fermi


level


(


E


F


)]


is


typically


the


key


parameter


controlling


the


response


of


spintronics


systems,


epitomized


by


magnetic


tunnel


junctions


in


which


the


tunnel


magnetoresistance


(


TMR


)


is


related


to


the


electrode


spin


polarization


by


the


Jullière


formula


(


23


).


These


predictions suggest that the nonvolatile character of ferroelectrics at the heart of


ferroelectric random access memory technology (


24


) may be exploited in spintronics


devices such as magnetic random access memories or spin field-effect transistors (


2


).


However, the nonvolatile electrical control of spin polarization has not yet been


demonstrated.



We address this issue experimentally by probing the spin polarization of electrons


tunneling from an Fe electrode through ultrathin ferroelectric BaTiO


3



(BTO) tunnel


barriers (


Fig. 1A


). The BTO polarization can be electrically switched to point toward


or


away


from


the


Fe


electrode.


We


used


a


half-metallic (


25


)


bottom


electrode


as


a


spin


detector


in


these


artificial


multiferroic


tunnel


junctions


(


26


,


27


).


Magnetotransport


experiments provide evidence for a large and reversible dependence of the


TMR



on


ferroelectric polarization direction.




Fig. 1



(


A


) Sketch of the nanojunction defined by electrically controlled nanoindentation. A


thin resist is spin- coated on the BTO(1 nm)/LSMO(30 nm) bilayer. The nanoindentation


is


performed


with


a


conductive-tip


atomic


force


microscope,


and


the


resulting


nano-hole


is filled by sputter-depositing Au/CoO/Co/Fe. (


B


) (Top) PFM phase image of a BTO(1


nm)/LSMO(30 nm) bilayer after poling the BTO along 1-by-4


–μm stripes with either a


negative or positive (tip-LSMO) voltage. (Bottom) CTAFM image of an unpoled area of a


BTO(1


nm)/LSMO(30


nm)


bilayer.


Ω,


ohms.


(


C


)


X-ray


absorption


spectra


collected


at


room


temperature close to the Fe L


3,2



(top), Ba M


5,4



(middle), and Ti L


3,2



(bottom) edges on


an AlO


x


nm)/Al nm)/Fe(2 nm)/BTO(1 nm)/LSMO(30 nm)(


D


) HRTEM and (


E


) HAADF images of the


Fe/BTO


interface


in


a


Ta(5


nm)/Fe(18


nm)/BTO(50


nm)/LSMO(30


nm)The


white


arrowheads


in


(D) indicate the lattice fringes of {011} planes in the iron layer. [110] and [001]


indicate pseudotetragonal crystallographic axes of the BTO perovskite.




The tunnel junctions that we used in this study are based on BTO(1 nm)/LSMO(30 nm)


bilayers


grown


epitaxially


onto


(001)-oriented


NdGaO


3



(NGO)


single-crystal


substrates


(


28


).


The


large


(~180°)


and


stable


piezoresponse


force


microscopy


(PFM)


phase


contrast


(


28


) between negatively and positively poled areas (


Fig. 1B


, top) indicates that the


ultrathin BTO films are ferroelectric at room temperature (


29


). The persistence of


ferroelectricity


for


such


ultrathin


films


of


BTO


arises


from


the


large


lattice mismatch


with the NGO substrate (



%), which is expected to dramatically enhance ferroelectric


properties in this highly strained BTO (


30


). The local topographical and transport


properties of the BTO(1 nm)/LSMO(30 nm) bilayers were characterized by conductive-tip


atomic


force


microscopy


(CTAFM)


(


28


).


The


surface


is


very


smooth


with


terraces


separated


by one-unit- cell



high steps, visible in both the topography (


29


) and resistance


mappings (


Fig. 1B


, bottom). No anomalies in the CTAFM data were observed over lateral


distances on the micrometer scale.



We defined tunnel junctions from these bilayers by a lithographic technique based on


CTAFM (


28


,


31


). Top electrical contacts of diameter ~10 to 30 nm can be patterned by


this


nanofabrication


process.


The


subsequent


sputter


deposition


of


a


5-nm-thick


Fe


layer,


capped by a Au(100 nm)/CoO nm)/Co nm) stack to increase coercivity, defined a set of


nanojunctions (


Fig. 1A


). The same Au/CoO/Co/Fe stack was deposited on another BTO(1


nm)/LSMO(30 nm) sample for magnetic measurements. Additionally, a Ta(5 nm)/Fe(18


nm)/BTO(50 nm)/LSMO(30 nm) sample and a AlO


x


nm)/Al nm)/Fe(2 nm)/BTO(1 nm)/LSMO(30 nm)


sample were realized for structural and spectroscopic characterizations.



We used both a conventional high-resolution transmission electron microscope (HRTEM)


and the NION UltraSTEM 100 scanning transmission electron microscope (STEM) to


investigate


the


Fe/BTO


interface


properties


of


the


Ta/Fe/BTO/LSMO


sample.


The


epitaxial


growth of the BTO/LSMO bilayer on the NGO substrate was confirmed by HRTEM and


high-resolution


STEM


images.


The


low- resolution,


high-angle


annular


dark


field


(HAADF)


image


of


the entire


heterostructure shows the sharpness


of


the LSMO/BTO interface over


the studied area (


Fig. 1E


, top).


Figure 1D



reveals a smooth interface between the


BTO and the Fe layers. Whereas the BTO film is epitaxially grown on top of LSMO, the


Fe


layer


consists


of


textured


nanocrystallites.


From


the


in-plane


(


a


)


and


out-of-plane


(


c


)


lattice


parameters


in


the


tetragonal


BTO


layer,


we


infer


that


c


/


a



= ±


,


in


good


agreement with the value of found with the use of x-ray diffraction (


29


). The


interplanar


distances


for


selected


crystallites


in


the


Fe


layer


[.,


~


?



(


Fig.


1D


,


white


arrowheads)] are consistent with the {011} planes of body-centered cubic (bcc) Fe.



We investigated the BTO/Fe interface region more closely in the HAADF mode of the STEM


(


Fig. 1E


, bottom). On the BTO side, the atomically resolved HAADF image allows the


distinction


of


atomic


columns


where


the


perovskite


A-site


atoms


(Ba)


appear


as


brighter


spots. Lattice fringes with the characteristic {100} interplanar distances of bcc Fe


(~


?


) can be distinguished on the opposite side. Subtle structural, chemical, and/or


electronic modifications may be expected to occur at the interfacial boundary between


the BTO perovskite-type structure and the Fe layer. These effects may lead to


interdiffusion of Fe, Ba, and O atoms over less than 1 nm, or the local modification


of


the


Fe


DOS


close


to


E


F


,


consistent


with


ab


initio


calculations


of


the


BTO/Fe


interface


(


18



20


).



To characterize the oxidation state of Fe, we performed x-ray absorption spectroscopy


(XAS)


measurements


on


a


AlO


x



nm)/Al


nm)/Fe(2


nm)/BTO(1


nm)/LSMO(30


nm)


sample


(


28


).


The


probe


depth


was


at


least


7


nm,


as


indicated


by


the


finite


XAS


intensity


at


the


La


M


4,5



edge


(


28


),


so


that


the


entire


Fe


thickness


contributed


substantially


to


the


signal.


As


shown


in


Fig. 1C



(top), the spectrum at the Fe L


2,3



edge corresponds to that of metallic


Fe (


32


). The XAS spectrum obtained at the Ba M


4,5



edge (


Fig. 1C


, middle) is similar to


that


reported


for


Ba


2+



in


(


33


).


Despite


the


poor


signal-to-noise


ratio,


the


Ti


L


2,3



edge


spectrum (Fig. C, bottom) shows the typical signature expected for a valence close to


4+ (


34


). From the XAS, HRTEM, and STEM analyses, we conclude that the Fe/BTO interface


is smooth with no detectable oxidation of the Fe layer within a limit of less than 1


nm.



After


cooling


in


a


magnetic


field


of


5


kOe


aligned


along


the


[110]


easy


axis


of


pseudocubic


LSMO (which is parallel to the orthorhombic [100] axis of NGO), we characterized the


transport properties of the junctions at low temperature K).


Figure 2A



(middle)


shows a typical res istance



versus



magnetic field


R


(


H


) cycle recorded at a bias


voltage of



2 mV (positive bias corresponds to electrons tunneling from Fe to LSMO).


The bottom panel of


Fig. 2A



shows the magnetic hysteresis loop


m


(


H


) of a similar


unpatterned sample measured with superconducting quantum interference device (SQUID)


magnetometry. When we decreased the magnetic field from a large positive value, the


resistance dropped in the



50 to



250 Oe range and then followed a plateau down to



800 Oe, after which it sharply returned to the high-resistance state. We observed a


similar


response


when


cycling


the


field


back


to


large


positive


values.


A


comparison


with


the


m


(


H


) loop indicates that the switching fields in


R


(


H


) correspond to changes in


the


relative


magnetic


configuration


of


the


LSMO


and


Fe


electrodes


from


parallel


(at


high


field) to antiparallel (at low field). The magnetically softer LSMO layer switched at


lower fields (50 to 250 Oe) compared with the Fe layer, for which coupling to the


exchange-biased


Co/CoO


induces


larger


and


asymmetric


coercive


fields


(



800


Oe,


300


Oe).


The observed


R


(


H


) corresponds to a negative


TMR



= (


R


ap




R


p


)/


R< /p>


ap



of



17%


[


R


p



and


R


ap



are the resistance in the parallel (p) and antiparallel (ap) magnetic


configurations,


respectively;


see


the


sketches


in


Fig.


2A


].


Within


the


simple


Jullière


model of


TMR



(


23


) and considering the large positive spin polarization of


half-metallic LSMO (


25


), this negative


TMR



corresponds to a negative spin


polarization for bcc Fe at the interface with BTO, in agreement with ab initio


calculations (


18

< p>


20


).




Fig. 2



(


A


) (Top) Device schematic with black arrows to indicate magnetizations. p, parallel;


ap, antiparallel. (Middle)


R


(


H


) recorded at



2 mV and K showing negative


TMR


.


(Bottom)


m


(


H


)


recorded


at


30


K


with


a


SQUID


magnetometer.


emu,


electromagnetic


units.


(


B


) (Top) Device schematic with arrows to indicate ferroelectric polarization.

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