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Upgrade of a Four-probe Scanning Tunneling Microscopy

System and Electrical Transport Properties of Graphene

By

Ruisong Ma

A Dissertation/Thesis Submitted to

The University of Chinese Academy of Sciences

In partial fulfillment of the requirement

For the degree of

Doctor/Master of Science

Institute of Physics

Chinese Academy of Sciences

Nov, 2017

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Abstract

Abstract

Graphene, a two-dimensional (2D) crystal with a honeycomb structure, has novel

mechanical, electrical, optical properties and potential applications, such as field-effect

transistors, solar cells and flexible transparent electrodes, etc. Due to its unique

properties, it is of great importance both in fundamental science and industrial

applications. In the past decades, researchers have developed a variety of ways to

synthesize high-quality and large-area graphene. However, an obstacle in practical

electronic applications of large-area graphene is its polycrystalline nature and the

presence of defects such as grain boundaries (GBs) would strongly scatter charge

carriers. Therefore, the conductivity and mobility are reduced, which impact its large­

scale technological applications in electronics. To study the transport properties of

graphene, the synthesized graphene should be transferred to the insulating substrate and

lithographically defined electrodes are fabricated in order to connect with the

macroscopic measuring instrument. The microfabrication process would inevitably

contaminate graphene surface and thus changes its intrinsic transport properties. The

four-probe scanning tunneling microscope (STM) is ideal for utilizing the ultra-high

spatial resolution of STM in standard four-point transport characterization and can

effectively characterize the morphology and transport properties of graphene and other

2D crystals in situ.

This PhD thesis is focused on the upgrade of a commercial ultra-high vacuum

(UHV) four-probe STM system, morphology and transport properties of single-crystal

and polycrystalline graphene grown by chemical vapor deposition (CVD).

The first part of the thesis is the upgrade of a commercial UHV four-probe STM

system. The first generation of commercial UHV four-probe STM system was

manufactured by OMICRON company. As the world's earliest commercial multi-probe

system (model: UHV Nanoprobe), it cannot effectively characterize the morphology

and transport propertie of nano systems in situ as proposed. In views of the problems

in large noise, obvious thermal drift and low resolution, the upgrade is mainly focused

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on several aspects, including vibration isolation and damping, scanning structure,

thermal links and thermal shielding, time-shared control unit, and replacement of the

scanning electron microscope by an optical microscope. Meanwhile, modifications in

sample pretreatment and wire shielding are also introduced. After the upgrade, the

performance of the four-probe STM system has been fundamentally improved in signal

to noise ratio, mechanical and temperature stabi lity, imaging resolution, cooling, etc.

The second part of the thesis is direct four-probe measurements of conductivity and

mobility in millimeter-sized single-crystalline graphene. The STM characterization

verifies the continuity of CVD-grown graphene on Cu foil. Direct four-probe

measurements of millimeter-sized single-crystalline graphene on Si02/Si are performed

by the upgraded system. The extracted conductivity and mobility of the overall

graphene flake from three setups via van der Pauw geometry confirm homogenous

nature of the whole graphene flake. However, the local transport properties measured

via square and collinear configurations show great deviations from the overall

properties. These differences are due to the local distributions of graphene wrinkles,

residues, and multilayered graphene islands on the monocrystalline graphene sheet,

affecting the local transport properties of graphene, but the presence of these factors

does not destroy uniform nature of the whole graphene flake.

The third part is direct four-probe measurement of grain-boundary resistivity and

mobility in millimeter-sized graphene. The work was focused on graphene bicrystals

transferred onto Si02/Si substrate, ensuring s ingle GBs in the measurements. Non­

destructive four-probe measurements of intra-grain and inter-grain sheet resistances are

performed on graphene bicrystals. To extract GB resistivity, an extending model based

on Ohm's law is proposed, and accordingly, GB resistivities under different carrier

densities can be obtained. In addition, this model can be applied to the measurements

of graphene wrinkles. Based on the Drude transport model, the carrier mobility of

graphene GBs or wrinkles can be extracted. The results show that the mobility of GBs

is three to four orders of magnitude lower than that of intrinsic graphene, and the

mobility at the wrinkles is about 1/6 to 1/5 of intrinsic graphene. This work extends the

IV

Abstract

understanding of the intrinsic electron transport properties of graphene GBs/wrinkles,

and shows the unique advantages of four-probe STM systems in studying the effects of

microstructures such as defects on the transport properties of materials. Moreover, it

provides a feasible method to characterize the transport properties of GBs on other 2D

materials.

KEY WORDS: [four-probe STM, upgrade, grain boundary, resistivity, mobility]

V

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57

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Material Properties EBL #2

d31AN@293 K -1.73

d33A/V@293 K 3.8

d31A/[email protected] K -0.3 I

d33A/[email protected] K 0.69

Dielectric constant KT3 1725

AC depoling field kV/cm rms 7

Young's modulus 1010 Nini 6.3

Curie Temperature ·c 350

Thermal Conductivity W /m • ·c 1.5

Thermal expansion coefficient ppm/°C ---Density g/cm3 7.5

Mechanical Q 100

Poisson's ratio 0.31

Industry Type PZT-5A

61

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~tlllJ ~ ~ , Tsen ~ At~-:fiat* t~ Ji'- i:iJ ~ ~f;!t( ~ :tt JiJJ.X: - ~ m J.l 1¥12Js:1.iE :fiat* a,

~ COO 4.4) , i!- ~~~rs~~a,m.~~1iJ$r~~~~B<J~tl:itmL ~~ Tsen ~ A

El<J:J:lhi , ~i!-*T~3cml.l A ~:X.79:

A= Pcs, (4.4)

Ra ;!@t c:p, PGB 79:fi a#tB<JAJJ'-it~!I.$ , Ron:fiam~IK~= ~tit~!l.o

xtr pij1ff!tl ~ :fi am A~, B ff]~ = tt ~J.EI. i:iJ ~~~Jli CRm~R20) WG~ 1¥tE$x

::k:B<J~ ~IJ CR1oiR20) , riffipijiJi~%~1Jttxti!WH'11'trH7lfrifHmfoJ;¥Llffl rm~#$

00 4.5 (a)~~ 7-Jt~A::r:i MHm ~1t$~11&001J, i!pijJt lp.A:fi ~!HmB<Jm

m:5t%UEBJ6fi3 CGrain-0 5fOiI~ CGrain-2 ) ~~1Uiic. o ~IH,@i!pijJt:fiatm$a,

1¥1 A 1oJ '.>'~ :x_m i:iJ 9;0, B 1fJ l¥J ~j(:j A 3f n ~ fl o lzil Jl:t, ~~A 1oJ t 1J ~ 1*9W l72l, B 111

1¥1 a,Ji'-7900 4.5 (a)$ ti~bfil~fo)T~ o

106

11 -Y~tt;@:Er-J¾ , if Grain-2 Er-J1-r:f9!L *1"-1'-i:iJJlEr-J::Pittt:m~ ( Wrinkle-1),

i~~1:i I His1~0-:3/91-:i:A:iW3$0- o lzsl!l;t~~ ~15 ~i*i:iJ ~0-:3/9 - ~~0- (Region-L

Region-2 to Region-3), :iK-=.$%15~1:ilx~B'-J:J'.j}:l'. :;}'til:tzoOO 4.5 (b)Jifr~o 2D illi

.!:§ G dil Er-J lt 11 ~Ar 2: 1 , £1.19: *1" i:iJ .W, Er-1 D d1i , lzsl il:t, m ~ 7't ii iiE ~ 7 ~ 1'-1:i ~

i*J=rEr-l!'!!ff-~ttto~~ito (a) ,,,,-, ___ _

,/" ............ ' --

Wn kle (/ Region-2 ···: ,,-/ GB-1 "'-1 >-. __ . .. ........ ' ~ ' , '

G . 21 , !

rain- 1 , I

l,..___ Region-1 \ / ~ '

Region-3 \ j I ,,

,.................... ,,,,,,"''

Grain:;·---••• _,,-,/ 200 11m

(b) 2D -Region-1

G - Region-2 -Region-3

A 2D'

2D

G 20'

2D

G

A 20'

1000 1500 2000 2500 3000 3500 Raman shift (cm·')

1fil~7 Grain-I CMB, Ri o ) , Grain-2 CttB, R 20 ) ;fD~~W (~B, R inter-grain

o ) Er-J = ~tit~Jl Ra o ..tJ£= ~tit1m Ro.!:§~W· i:g~Jl R1 1v23 Er-1*-*Y~:

(4.5)

j Z, fei] B'-J ie ;!; o x-1-=f *ffl tj rftJJ:l~JiJ ID! Er-) [9 f?Htj~ 1,j\, S I 2=s23=S34=S41=s , S :3/91:rtk:

1¥~:ill-!f, !J!U 0 ~ ( 4.5)i:iJfGHt,,1g :

(4.6)

EB~ 4.6 (a)~J~, Rm-:.:::,R20 , mi Rinter-grainD~~T RmflJ Rm, :ftJ't.:f&tf ~~yfiE-=ftR

ffit B'-JIK~o

n71JH.f}1:i. i*B'-J ~~i:g~Jl$ poa , 4 R1o~R20= Ro, flHE0:ct(4.4)~Edt

~~ID! , it-s1jlr.yfr;l(yz.dAJft~nA*1"= ~tit~Jl Ro~Rm)j'. J. '1s1~C ~ 4.6 (b))o

tf~.z,§~1:i--A~~- Er-J = m~mRo, £1.~~ -~tk:~n:ill-!fns~stl

~%0 t!HE..t~JL1i:iJf1;J ru! ~,& 0:ct(4.5), Ro.!:§iP!~it it~Jl Rn n3 Er-J*~n:

107

R - 2TCRI IV23

o - ln((s 2+(s+J)2)/s2) o

(a) 60oo~======~

5000

4000

£ 3000

0:.0 2000

1000

o ............ ~~-~~~---,--, -3 -2 -1 0 1 2 3

(c) eooo~------~

5000

~ 4000

D 3000 .s ~ 2000 .; 11 1000

0:.

-3 -2 -1 0 1 2 3 n. (1012cm·2)

(b)

(d)10.o

~ 7.5 E ::i. g 5.0

Cl)

cP 2.5

s+A.

~ ~ ~ 0 1 2 3 n

5 (1012cm·2)

2TC R inter-grainD = --R /IV23 °

In 2

1±10A(4.7)5fO(4.8)"i:iJ1i Rintcr-graino , R o , S .fD A. Erl~*.79:

(4.7)

(4.8)

Ra s2 +(s +J)2 Rinter-grainD =/(f?o,s,J)= ln

2 ln( s2 ), (4.9)

:X•Ff~- 1-t1<;1!iE-r1:&J.tr Erl~s~=tl ~rn Ra.fD~ a~W=tl ~Jll R;n1c,-g,aino , "i:iJ

~JAIRffli~:i:t:(4.9):>R1i- 1- Ao

:t~ffi Tsen ~ A~.&7-is=XErJ~iff,t~J~r93l, J ~V:tt1!iE-r1'&l.tErJ~ft!fx/J,, l!li!:t ,

"i:iJ ~fflfflAA~ttffl-r1'&J.tM~~~ = -~~~fflm~ili - 1-~- ErJJo M~~

4.6 (a)J5Jr~B<:J~J!H,A, :rt:J~~ffi~~!Mz~ffiErJxt tt~~~o ~ 4.6 (c)J5Jr~ o jiJhi:tt:J~

1~JIJ::Ei~!HmrawB{J~~:fdtMMJ.t J. 79 2.0 µm, flHi0:i:t:(4.4)"i:iJ~>J<1~*15~1m

rawtE::f ~ttrl-r1'&J.trB{J ~~..El~ PGB c ~ 4.6 (ct)) , ~ PGB B{J~ftiz l'BJ.79 1.0

~ 10.5 kQ•µmo

108

EB ffi-=-• iSJ 9;0, ~~it m~x,tim :ii t: B"J W;11iE -=r IEJ tf F 1:. s.!li?.!1 a{] fflt~t rs,, 1001 o

;fiJ J:ILl:. ~ iY!tl ii ::fi !!Hm rs 3'f Ft!. ~ii$ BtJ :1Jr:t , X1 l!l 4. 7 (a) cp ~ :m ~ Jt!:ff 7 rLY 1* H~

ilii~H~, *1i 7 ::fi !lHt:m~BtJ Ft!.~ii$ P w,ink1co x1r::fi ltttmM'.BtJtfi% , ~w:i1mtlBtJ

75 JBt IK±ii~ r lEJ-::& ~m rseitt(OO 4.7 (a)) , Jl:ff t§ IEJ ~ = ~t Ft!. ~ii o 00 4. 7 (b )79

•rseittix Grain-2 (h'ESUB~) 1;,t &lYHi/M'. (~'ES) B{J= ~ti:g~ii, ~ cpJ§~F!J!Hr.i

~riW~, ~EJJl~76 IHtmtfm:* 7 iffB'rB<J Ft!.~iio .lit(J\Jti:~ IS*ffl Ii V23 B{J#;J

~ ' 00 4. 7 (b) cp B{J ffi 00 79 ~ :m ~ W!tl :I: B{J :Yt $ mH*H! ~ Jt O ;flj ffl J:.i1 :1Jr! ' x,j· ::s ~!Bijm~BtJ~ili~H~~fflJtl:ff 7 t!;,l~ c 00 4.7 (c) ) , Ji;cp;. ti 14.3 µm o t§@BtJ

P wrink1e B±l~~D00 4.7 (d)J3/T7.I' , ft!. cpttt,(~ ~:/fl~ffi79 74.5 kQ•µm, ~ 1~ffi!J!tl 79

7.0 kQ•µmo

(a)

(c) 5000

0 5000

S, 4000

~ 3000

;2000 s

rr.i= 1000

101,1m

o.._,_ ______ -,-, -4 -3 -2 -1 0 1 2 3

n, (1012cm·2)

(b)6000 -Grain-2 - Crossing wrinkle

5000

- 4,000

~ 3·000

rr.0 2,000

1<000

o,,____,_~~--~~-,---J

(d) 75

- 60 E :i c: 45 ~ ~ 30 C ·c

J 15

-4 -3 -2 -1 0 1 2 3

o.........._~~~---,_,........ -4 -3 -2 -1 0 1 2 3

n, (1 012cm·2)

00 4. 8 (a)~ 7F 7 - Jt El:1.= ~•rs 75 ~ m rs ~f#~ rm J5½ BtJ ~ rs~~ iij , ~ --1-~ ~:.ti~ 1K a{]~m:5t~iJ EB %f-@. ( Grain-SI ) , U-@. ( Grain-S2 ) ,fO ~-@. ( Grain­

S3 ) ~ ~tff-·ic O :ffiH'5 ~ B 1fJ B{J JL1oJ )'r ~Jl'i:,J ~I] ' ~-=~~~:.ti. rs BtJ ~ ft.I JL :P. 79

~Jl. , B1nifs:3'fB{J:k.ffi1fr.11.791!J 4.8 (a)cp [email protected],(tiJ£iJifr~, GB-S J 79 Grain-SI

,fa Grain-S2 Z. fEiJ BtJ rs 3'f , GB-S2 79 Grain-S2 ,fa Grain-S3 Z. fs] BtJ ifs 3'f o ~ - ~ ::fi

109

IHmA- s<rtil:~jtif Po 00 4.8 (b)Pfr~ 0 2D d1f~ G tl~s<J bt1i ~::k-=f 2: 1, i:iJiiE im

~~•mA~•~WttoM~s<J-~~~A~~~s<J D. , ~~. ff~$A~

•m~ #a::kits<J~~§[' 361o (a)

(alsooo

5000

0 4000

S.3000 Cl

er 2000

1000

(dlsooo 5000

,------- \, I• ·',,. . ' . ' I ',,,

: Grain-53 -. . . / I ' . ' I r-·- / :

/ ... ~-...- ~ /. ... .. , ; • · Grain-S2 / , .. i ----·-------·"''\

' ' ' ' ·\, . . ' ' / :

Grain-S1

I~~-

-Graln-S1 - Greln-S2 - Jnter.gr•tn-S 1

I

200 11m

(blsooo

o 5000 ~ £ 4000

Cl -~ 3000

r 2000 E

er 1000

(b)

G

G

1000 1500

- ExperlmenI • F tt g

>.:4.6 µm

~ 0 1 2 3 4 5 6 n, (1012cm->)

~ 0 1 2 3 4 5 6 n,(10'~cm" )

Experunenl • F "lg

>.=1.7 µm

'"---

20 - Grain-S1 -Grain-S2 - Grain-S3

20'

20

20'

20'

2000 2500 3000 3500 Raman shift {cm·1

)

(C)28

24 _,.,• , _._ GB-S1 resistivity - .,

[ 20 \ c 16 ' ~ :312 a. 8

. -.. '• ., .

........ . .... . ... 4....,...__~-~~-

(f) 10

- 8 E 6 6 ... ';;,4

0 a. 2

~ 0 1 2 3 4 5 6 n, (1012cm_.)

o.._~~~~~~ -2 -1 0 1 2 3 4 5 6 7

n, (1012cm·')

~ fttlOO 4.2 fofr~s'-J:n$, X'J'OO 4.8 (a) ~ = -t-s'1.~l~).!!;l5¥Dlr~A3i'- s<J rg ±i:it!:fr 7

[91*#r!$ifijjg~~~ito 00 4.9 (a),fD(d)5tJJIJ ~ ~ 7ttx,J GB-SI flJ GB-S2 B'-J$lfijjg~~~

~••· A3i'-~•~•mn- s<J= •~m~a~::ks<J~~. ~ ~ nw~m• s<J

~1~:iili~ 4.2.2 71°~ pfrfriBs<JijHt!£n~~ o ~~s'1.Ws<J= tt~~.El.~~-=f W3f~Us'1.

- = -~ms<J~~ffi. ft~~a~~tt~~ o

00 4 .1 o (a) n il:t <X ~~~ :I: s<J fiHt t~Ut! , ll91'-~ tr fofr ;ttJ JJX .IE :n % s<J :ill* n s , ~

!Hi A ~1:\t r ~ .IE :n % s<J x1%\ ~1il !xL wi~ ii* 1 s ;1UFJ 1, v23 s<J *t.l ~ , rm f~U~ • m rs ~s<J= tt~~.El.5t:l}1Jn R1 0.:fD R200 ~R~ R20~~~ ~ms'1.Wif\-~$~:nrt'Ht JinM

110

Jl.7'.J A Er-J~IK ( 00 4.10 (b)) ' f!P J..=pGslR20 0 JJt B1 ' -1}:f:j" 1Hmd13'f-5-}7'Jf};,;j1'-:itl

3'f- GB-L 1:§ GB-R, EE -f- GB-L 1-cf9!~Et-J1:i IHt~IK .!:§tt mi~IK ~-J= tt 1:g~1lt 13 IA.I,

Y!fi:iJ ~~ GB-L ~m~, fJZ.J~ GB-Ro 5E )( GB-R 1:§ 1-2 %~tta~B"JX,87'J M,

1:§ 3-4 %~tta~~-J ?x:,ian N ( 00 4.10 (c)) o 1:E GB-R Er-J1-i:~pijfmtl~,~~IA.IB"J

= ti J:g~!l, ~p R1 05FD R200 1:E;J-J~ cp, @ii:f;:f%:ft~1=g¥frf,~J1J GB-R 131~ IEfiM"

~~~f½fi1r r~ coo 4.10 (d)) o

(b)

®~EE 1%tt~ttA~1:gffinh, ~ ~1:gfflmN%~7'J : I

J(r)=-1 ' I 2rcr/

(4.10)

~ cp r ~00 4.10 (d)cp J:ifr7J'1f"Jl£fsJ l*J~2~e~ 1 %tt~~Ne~, t ~1:i ~ m~J.¥

Ji. fr Grain-I cp , EE 11 F::E.~ ~:f:m5!ftJl.5-}~7'J:

E( ) - J ( ··) - PJ1 _ R10 l 1 _ _ dV(r) r - P1 1 ' - - - -- '

2trrt 2trr dr (4.11)

~cp p, ~ Grain-I B"Jf*1:g.@*, l'(r)~ Grain-I l*J!Ee~ I %tt~ r ~~1:g!fi}o 1~

ffl0rt:(4.l 1), fr 2 %tt~~i9!Hf s<J 1:g~7'J=

(4.12)

3 %tt~{SL:-=f ;9j-~IK Grain-2, JtyfiU,mJ:1 GB-R J§JUJtA~~ IA.l = ttit~!l~ 1K

~ 0 fr M ,ia , ~ J:g ~~ vM n =

J00 R J R I

V - ---1Q._J_ dr - --10- 1 ln (r. ) o M - - IM r," 2trr 2tr

(4.13)

111

(4.14)

( 4.16)

~I%tt~~A~~ffi~M4%tt~•H#~. ffilli 4%tt~~~ffiL~ 3% to 2 %tt~~~::!:.B'-J~~~:;/g:

(4.17)

aM~~.~~~ttffl~-~~~%.~Aff~~~~%~~~~-~.-~0

~( 4.5)l0(4.7), !i!tli~~(4.19)i:iJ !2)Jij1-t:;lg:

Tl . =f(T) 1) A)=Rio l (~s2+(s+J)2) lso l ((s+2).)~s2+(s+).)2) ( 0) ''inter-gramD ''ID, ' '20,s, ln2 n s+2J + ln2 n s2 o 4.2

~~ s to s+l '.5tJJU79fr" Ji.JB~%~:ill* ( 00 4.10 (b) ) o 4 Rm= R20= Ro , !i!U0

~( 4.20)r.iJ ~ WH-tn0~(4.9):

Ra s2+(s+1)2 ~nter-grainD = f(Ra,s,A)= ln

2 ln( s2 ) 0

~~~~:ill~- --ff=-~mffl~~~*~~o

112

tlH@0:i\:(4.2O), xt GB-SI ;flJ GB-S2 B<J~:iEimft,:i\~ffl:ittfr1i:J--g- 0 ~ 4.9 (b)

;flJ( e )79:J-U-g-g&ffi;fO#;~ Ettl ~ Et'iJxt rt, B 1i'J B<:1*1 ~~tt Ji'.ltJJ'.?tj}iJn 4.6 µm ;fa 1.7

µm o EB J..=p00/R20, "i:iJi-1-~>1<1~ GB-Sl ;flJ GB-S2 Wlt~.EI.$ C 00 4.9 (c);flJ(f)) o

xt r GB-S1, ;!( P GB W'.3t1tffill~ EB 5.9 ~ 26.4 k.Q•µm, imxtr GB-S2, P GB 1¥1

~1t1i11E~ 1.7 ~ 9.5 k.Q•µm o

(a) 1500 -g,-::! (c)1ao -GS-S3r..-st,-"lt'j ~

6000

0 £ 4500

rr::° 3000

150 .. . . . .

I120 i \ ~ 90 i \

m • •• •• ,.,

~ .• ···••• 60 ••••••••••

1500J-,;:~--~~~...-1 -4 -3 -2 -1 0 1 2 3 4 -4 -3 ·2 · 1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4

n, (10"cm .. ) n, (10" cm·21 n, (10"cm2)

V "'""' (e) 7500

-Expenm<int\_ (f) 90 -G8-5'-1Y , . -F·• I\ ,, ~ o 6000 t 75 : ~

a J - : ._ JOOll"I , Of..,...,, - A•14.3 µm E : ~ -_..., \ 4500 I ~60 • \

I -45 .I .. «' 3000 / J ... ·· ........ . _.../ 30 •••••••

(d) 7500

6000

£ 4500

a a: 3000

1500+---~--~~- 1500+---~----- 15+-------~--4 -3 4 4 0 1 2 3 4 -4 4 0 2 4 -4 -3 ~ 4 0 1 2 3 4

n, (10"cm'2) n, (10" cm->i n, (1012cm 2)

(g) 7500 -G<aln-1 .,,.... ( h )7500 -Expenment~ (i) 120 -G8-SS-"I\' /'i -G<aon-2 ,__ T • F Q 105 • •

6000 - lnte<11raln-S5 ,..-- 0 6000 : t ""-~ a ~90 : • A = - A:19.7µm E : ~

£4500 1 4500 / 6°75 • \ . .,. I • a:O 3000 t .l ~60 I •• r:Z 3000 •• ::.- o. • •.

_ .. aY 45 . ... • ••-.. •• 1500

-4 -3 ~ 4 0 1 2 3 4

n, (10"cm 2)

~ ~ 1500-----~--- 30--···~--~~--

-4 -3 ~ 4 0 1 2 3 4 -4 -2 0 2 4

n, (1012cm" ) n, (1012cm 2)

(j) 7500 ==-:------.-----=--, (k) 7500 -Expenment _,.. Fm ~

(I) _. C8,S6,...,. .. ,y

60 !\ 6000

£ 4500 0

a: 3000

1500 1500

°[ 45 i \ : \

~ l \. 130 / · .. ······ ......... . 15 •••••

-4 -3 -2 ·1 0 1 2 3 4 -4 -2 0 2 4 -4 .3 -2 -1 0 1 2 3 4 n, (l0" cm->) n, (10" cm·21 n, (10" cm.,)

(m)10500~~---_-111__,,,--~(n) 1osoo~1 __ - e-,pe- r1-men- ,----~(o) 160 i--wnni1--si 1eM1M1y

-C10SN1g """kle - 9000 - F 0"0 f\"" 140 f.. 9000

7500 '.E £6000

r:C4500

3000

-4 -3 -2 . , 0 1 2 3 4

n, (1012cm.,)

~ 7500 >.=17 9~m e120 ! ~ i 6000 ) • 6100 : \ t ~- e, 80 Ji ~.

a:.i 4500 ~! ... ~ .. ~ 160 .. ~ ·· ........ . Q. ••• ••• • 3000 µ,,,*" 40 •• ~-

-4 -3 -2 ·1 0 1 2 3 4 n,(l0" cm·')

~ -3 4 4 0 1 2 3 4 n, (1012cm")

~r ~t¥1¥.11J1t , J~:i: 7 Jt1th[9m:?5 ~Jm a'11Ji!. C GB-S3, GB-S4, GB-S5 lD

GB-S6) ~,&- t.El.::f:i ~ tm:ru'~ C Wrinkle-SD 1¥1 it~.EI.$ , B 1i'Jl¥1*1~~1t Ji'.ltJi?t 113

YJIJ7'J 28.8 µm, 14.3 µm, 19.7 µm, 10.0 µm 5fQ 17.9 µm (l!J 4.l l) o *J?:Ji)T~~s'1f

3'¥-1~~ rt~.§.$ 1¥]~,f,tffi~ 133-fLl-a g; kQ•µm ( 00 4.12 (a)) o

Isacsson ~ A-tE~rg;ra15•tttff-lttt~ ( Scaling properties ) 8<:J~ :1£cp,~,

!i§ 7 g; ~Jt~t~~ 1¥315 • m A3'¥-rt ~.13.$ ~ffl C 00 4.12 (b)) (15010 fm1fH~ l±L 15

• mA3'¥-rt~.El.$8<:JRflt~~ - -t-ftl :~ CO. I ~ 100 kQ•µm )o *Xfofr~1H~s<:J15

1ut1i1~ [email protected] * ~ ~~tR ~ cp B<:J ~~ m: [i] t§ z,-10

(a\ 00 IIIIIPGa

E lmPwrinkle ::J..

a

'1 .::i:. .._.. >,

10 -·;; :.:; (/) .<ii Q)

a:::

1 GB-1 GB-S2 GB-S4 GB-S6 Wrinkle-S1

GB-S1 GB-S3 GB-S5 Wrinkle-1 1000.....--,--,--,---,--,---r--.-..---.---,--,---r--.-,-,

(b) -100 ~

e :l.

10 polycrystalline scaling

(s,mulabon)

~ - 1 ° 4-terminal •. ~ 0 • . -* o

J '' I i :U I O _,,.,

AC-EFM sca11ng

0.01 4-po,nt

* · STP

Joole expanS1on m,croscopy

oxygenation o

poor \ l GB width connectivity o • 1 o nm

----6 0 ° * I O O O GBwdth 0 • 2nm

• 0 good

4-terminal

1E·3 ,_,__._.._.__,___,__,__._..__.__,___,__,__._.,_,

Reference

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114

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ITT• iJ\fi r i soJ 0

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Rev. Sci. Instrum., 88, 064704(2017)

[2] Ruisong Ma, Qing Huan, Liangmei Wu, Jiahao Yan, Wei Guo, Yu-Yang Zhang,

Shuai Wang, Lihong Bao, Yunqi Liu, Shi-Xuan Du, Sokrates T. Pantelides, and

Hong-Jun Gao

"Direct Four-Probe Measurement of Grain-Boundary Resistivity and Mobility in

Millimeter-Sized Graphene"

Nano Lett., 17, 5291(2017)

137

[3] Ruisong Ma, Qing Ruan, Liangmei Wu, Jiahao Yan, Yu-yang Zhang, Lihong Bao,

Yunqi Liu, Shixuan Du, and Hong-Jun Gao

"Direct measurements of conductivity and mobility in millimeter-sized single­

crystalline graphene via van der Pauw geometry"

Chin. Phys. B, 26, 06680 l (2017)

[4] C. R.Woods, L. Britnelll , A. Eckmann, R. S. Ma, J.C. Lu, H. M. Guo, X. Lin, G.

L. Yu, Y. Cao, R. V. Gorbachev, A. V. Kretinin, J. Park, L.A. Ponomarenko, M. I.

Katsnelson, Yu. N. Gornostyrev, K.Watanabe, T. Taniguchi, C. Casiraghi, H-J. Gao,

A. K. Geim and K. S. Novoselov

"Commensurate-incommensurate transition in graphene on hexagonal boron

nitride"

Nature Phys., 10,451 (2014)

[5] Guocai Wang, L ihong Bao, Ruisong Ma, Tengfei Pei, Yu-Yang Zhang, Liangmei

Wu, Zhang Zhou, Haifang Yang, Junjie L i, Changzhi Gu, Shixuan Du, Sokrates T

Pantelides, Hong-Jun Gao

"From bidirectional rectifier to polarity-controllable transistor in black

phosphorus by dual gate modulation"

2D Mater., 4, 025056 (2017)

[6] Guocai Wang, Lihong Bao, Tengfei Pei, Ruisong Ma, Yu-Yang Zhang, Liling Sun,

Guangyu Zhang, Haifang Yang, Junjie Li, Changzhi Gu, Shixuan Du, Sokrates T.

Pantelides, Ronald D. Schrimpf, and Hong-Jun Gao

"Introduction of Interfaciaf Charges to Black Phosphorus for a Family of Planar

Devices"

Nano Lett., 16, 6870 (2016)

[7] Tengfei Pei, Lihong Bao, Ruisong Ma, Shim Song, Binghui Ge, Liangmei Wu,

Zhang Zhou, Guocai Wang, Haifang Yang, Junjie Li, Changzhi Gu, Chengmin

Shen, Shixuan Du, and Hong-Jun Gao

"Epitaxy of Uftrathin SnSe Single Crystals on Polydimethylsiloxane: In-Plane

EL ectrical Anisotropy and Gate - Tunable Thermopower"

138

Adv. Electron. Mater., 2, 1600292 (2016)

[8] Jun Li, Jianing Zhuang, Chengmin Shen, Yuan Tian, Yande Que, Ruisong Ma,

Jinbo Pan, Yanfang Zhang, Yeliang Wang, Shixuan Du, Feng Ding, Hong-Jun Gao

"Impurity-induced formation of bilayered graphene on copper by chemical vapor

deposition"

Nano research, 9, 2803 (2016)

[9] Tengfei Pei, Lihong Bao, Guocai Wang, Ruisong Ma, Haifang Yang, Junjie Li,

Changzhi Gu, Sokrates Pantelides, Shixuan Du, and Hong-Jun Gao

"Few-layer SnSe2 transistors with high on/off ratios"

Appl. Phys. Lett., 108, 053506 (2016)

[10] X. M. Zhang, R. S. Ma, X. C. Liu, G. Z. Xu, E. K. Liu, G.D. Liu, Z. Y. Liu, W.

H. Wang and G. H. Wu

"Topological insulators with unexpectedly HgTe-like band inversion in hexagonal

wurtzite-type binary compounds"

EPL., 103, 57012 (2013)

[11] Zhao-Ming Wang, Roi-Song Ma, C. Allen Bishop, and Yong-Jian Gu

"Quantum state transfer through a spin chain in a multiexcitation subspace"

Phys. Rev. A, 86, 022330 (2012)

[12] Su-Na Fan, Ren-Wei Liu, Roi-Song Ma, Shan-Sheng Yu, Ming Li, Wei-Tao

Zheng, Shu-Xin Hu

"Two-dimensionalpolyaniline nanosheets via liquid-phase exfoliation"

Chin. Phys. B, 26, 048102 (2017)

139

[ 1] Ruisong Ma, Qing Huan, Liangmei Wu, Jiahao Yan, Yu-Yang Zhang, Lihong Bao,

Shixuan Du, Sokrates T Pantelides, and Hong-Jun Gao

Direct Four-Probe Measurement of Grain-Bounda,y Resistivity and Mobility in

Millimeter-Sized Graphene (poster)

Chinese Physical Society 2017 fall meeting, Sep. 2017, Chengdu, Sichuan, China

[2] Ruisong Ma, Qing Huan, Liangmei Wu, Jiahao Yan, Qiang Zou, Aiwei Wang,

Christian A. Bobisch, Lihong Bao, and Hong-Jun Gao

Upgrade of a Commercial Four-probe Scanning Tunneling Microscopy System­

Improvement of STM Resolution, Cooling Capability and Stability (poster)

20th International Conference on Non-Contact AFM, Sep. 2017, Suzhou, Jiangsu,

China

[3] Ruisong Ma, Jiahao Yan, Qing Huan, Lihong Bao, Shixuan Du, and Hong-jun Gao

Upgradation of a commercial four-probe STM system-Improvement of STM

Resolution, Cooling Efficiency and Stability (poster)

2016 annual academic forum of CVS, Aug. 2016, Kunming, Yunnan, China

[4] Ruisong Ma, Guocai Wang, Qing Huan, Lihong Bao, Xiao Lin, Hongliang Lu, and

Hong-jun Gao

The Upgrading of Four-probe STM- lmprovement of STM Resolution and Cooling

Efficiency (poster)

2014 annual academic forum of CVS, Nov. 2014, Guangzhou, Guangdong, China

140

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