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The evolution of carbon nanotubes during their growth by plasma enhanced chemical vapor deposition This article has been downloaded from IOPscience. Please scroll down to see the full text article. 2011 Nanotechnology 22 405601 (http://iopscience.iop.org/0957-4484/22/40/405601) Download details: IP Address: 136.167.52.15 The article was downloaded on 28/10/2011 at 17:18 Please note that terms and conditions apply. View the table of contents for this issue, or go to the journal homepage for more Home Search Collections Journals About Contact us My IOPscience

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Page 1: The evolution of carbon nanotubes during their growth by ... · During the growth of carbon nanotubes (CNTs) by plasma enhanced chemical vapor deposition (PECVD), plasma etching is

The evolution of carbon nanotubes during their growth by plasma enhanced chemical vapor

deposition

This article has been downloaded from IOPscience. Please scroll down to see the full text article.

2011 Nanotechnology 22 405601

(http://iopscience.iop.org/0957-4484/22/40/405601)

Download details:

IP Address: 136.167.52.15

The article was downloaded on 28/10/2011 at 17:18

Please note that terms and conditions apply.

View the table of contents for this issue, or go to the journal homepage for more

Home Search Collections Journals About Contact us My IOPscience

Page 2: The evolution of carbon nanotubes during their growth by ... · During the growth of carbon nanotubes (CNTs) by plasma enhanced chemical vapor deposition (PECVD), plasma etching is

IOP PUBLISHING NANOTECHNOLOGY

Nanotechnology 22 (2011) 405601 (6pp) doi:10.1088/0957-4484/22/40/405601

The evolution of carbon nanotubes duringtheir growth by plasma enhanced chemicalvapor depositionHengzhi Wang and Z F Ren

Department of Physics, Boston College, Chestnut Hill, MA 02467, USA

E-mail: [email protected]

Received 23 June 2011, in final form 16 August 2011Published 12 September 2011Online at stacks.iop.org/Nano/22/405601

AbstractDuring the growth of carbon nanotubes (CNTs) by plasma enhanced chemical vapor deposition(PECVD), plasma etching is the crucial factor that determines the growth mode and alignmentof the CNTs. Focusing on a thin catalyst coating (Ni = 5 nm), this study finds that the CNTgrowth by PECVD goes through three stages from randomly entangled (I-CNTs) to partiallyaligned (II-CNTs) to fully aligned (III-CNTs). The I-CNTs and II-CNTs are mostly etchedaway by the plasma as time goes by ending up with III-CNTs as the only product when growthtime is long enough. However, with a thickness of the catalyst coating of 10 nm or more, neitherI-CNTs nor II-CNTs are produced, but III-CNTs are the only type of CNTs grown during thewhole growth process. During the growth of III-CNTs, the catalyst particles (Ni) stay on thetips of each of the aligned CNTs and act as a ‘safety helmet’ to protect the CNTs from plasmaion bombardment. On the other hand, it is also the plasma that limits the growth of III-CNTs,since the plasma eventually etches all the catalytic particles out and stops the growth.

(Some figures in this article are in colour only in the electronic version)

1. Introduction

Since large-scale well-aligned carbon nanotubes (CNTs) werefirst successfully grown on Ni-coated glass below 700 ◦Cby plasma enhanced chemical vapor deposition (PECVD)in 1998 [1], extensive investigations have been carriedout on the growth of CNTs by PECVD optimizing thegrowth parameters, such as the thickness of catalyst (Ni)film [2–4], feedstock gas ratio (C2H2/NH3) [5, 6], PECVDchamber pressure [7], substrate temperature [8], plasmaheating [9], plasma intensity [5, 7, 8], plasma treatment forcatalyst coatings [4, 8, 10, 11], and plasma treatment forCNTs [12, 13]. Such extensive research has significantlyimproved the understanding of the CNT growth mechanismin a PECVD system. However, the effect of plasma etchingon CNT growth has not yet been paid sufficient attention. Itis well known that plasma assists the growth of CNTs andsimultaneously etches the CNTs in a PECVD system duringthe whole period of the CNT growth. It seems that there isvery little literature reporting the effect of plasma etching on

the growth of CNTs during the early stage in a PECVD systemfor very thin catalyst films.

Since the late 1970s, plasma etching [14, 15] has gainedwidespread applications in the manufacturing of semiconduc-tor devices for the microelectronics industry [16–18]. Thebest-known example is the etching of silicon in CF4 glowdischarge [19, 20]. Recently, plasma engineering has drawnmore attention in nanoscience and nanotechnology, since theplasma-aided nanofabrication can create nanoscale structuresand textures [21]. All these applications explicitly indicatethe fact that plasma etching has the power to drill a hole orremove atoms on the surface of the irradiated target by ionbombardment. As for the CNT growth in a PECVD system,accordingly, there exist two competing processes, one is toassist the CNT growth by creating carbon deposition on thecatalyst, and another is to consume the CNTs by the plasmaetching. It is reasonable to deduce that the plasma etchingshould inevitably and considerably modify the growth modeof CNTs in a PECVD system, which is essential to the fullunderstanding of the mechanism of CNT growth.

0957-4484/11/405601+06$33.00 © 2011 IOP Publishing Ltd Printed in the UK & the USA1

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Nanotechnology 22 (2011) 405601 H Wang and Z F Ren

In this paper, a detailed study is reported on investigatingthe effect of plasma etching on CNT growth with growthtime changing from τ = 1 to 60 min and catalyst (Ni)coating thickness changing from 2 to 50 nm. With the catalystthickness at 5 nm, it is the first time to observe that the CNTgrowth evolved through three consecutive stages: randomlyentangled small and large diameter I-CNTs (τ = 0–4 min),partially aligned small diameter II-CNTs (τ = 4–10 min), andfully aligned large diameter III-CNTs (τ = 10–60 min). Byextensive microscopic examinations, it is interesting to notethat the I-CNTs are totally etched away and replaced by theII-CNTs, but the II-CNTs can only survive for several minutesand eventually be completely replaced by the III-CNTs asthe final product. Even though the III-CNT growth has beenextensively reported [1–6, 8], there are no publications on thegrowth of the I-CNTs and II-CNTs in a PECVD process. Itis believed that the CNT growth evolution from I-CNTs to II-CNTs and finally to III-CNTs is mainly attributed to the plasmaeffect.

2. Experimental details

Silicon wafers (∼370 μm in thickness, p-type boron-dopedwith 10 � cm resistivity, (100) oriented with surface polished)were cut into 1.5 × 1.5 cm2 pieces, followed by ultrasoniccleaning in acetone and methanol and drying in air, andthen were coated with a buffer layer (Ti = 10 nm) anda catalyst layer (Ni = 2, 5, 10, 20, 50 nm for thicknessvariation in different experimental runs) by radio frequencymagnetron sputtering. The coated substrate was transferredinto a PECVD system, placed at the center of a bottom-heated round stage (∼130 mm in diameter) which functionsas the cathode of the plasma. Above the sample, a rod-shapedanode (∼6 mm in diameter) was fixed about ∼12 mm away.When the system was pumped down to less than 10−2 Torr,the heater was powered for 10–20 min to raise the sampletemperature to 200–300 ◦C. Then, ammonia gas (NH3) flowingat 95 sccm was introduced into the system with the chamberpressure maintained at ∼8 Torr for heating the substrate to∼680 ◦C. Normally it takes 30–40 min to reach the desiredtemperature after NH3 gas is introduced. At the desiredtemperature, plasma was generated with a beam current fixed at0.15 A. The coated substrate was directly exposed to the NH3

plasma etching for the purpose of pre-growth treatment of thecatalyst [8]. After the pre-growth plasma etching for 15–20 s,acetylene gas (C2H2) flowing at 40 sccm was introduced intothe chamber to trigger CNT growth at a growth pressure of6–8 Torr.

A JEOL scanning electron microscope (SEM, 6340F)and a JEOL transmission electron microscope (TEM, 2010F)working with accelerating voltages at 5 kV and 200 kV,respectively, were employed to characterize the CNTs.

3. Results and discussions

In CNT growth by PECVD, only ammonia (NH3) andacetylene (C2H2) gases are introduced into the growthchamber, but the two gases may, theoretically, generate

more than 100 species by almost 900 chemical reactions [9].Regardless of the trace species and extremely slow reactions, itwas suggested that the remained 175 reactions could produce20 neutral species as [9]:

NH3 (feedgas) → NH3, NH2, NH, N, N2, H, H2

C2H2(feedgas) → C2H4, C2H3,

C2H2, C2H, C2, CH4, CH3, CH2, CH, C

plus CN, HCN, and HC3N formed as the result of furtherreaction of the above products. In addition, there are four kindsof charged species (NH+

3 , NH+2 , C2H+

2 , and e−) generated fromthe chemical reactions. It is noted that the CNT growth byPECVD processing is under a very complicated environment,in addition to the effects of other working parameters such asheating temperature, gas flow speed, gas ratio (C2H2/NH3),gas pressure, and the strength of plasma etching.

Due to the complexity of the CNT growth under PECVDconditions, almost all the working parameters (experimentallyoptimized) were purposely fixed as exactly as we can for thestudy of the effect of plasma etching on CNT growth for theresults reported in this paper.

3.1. Stage I: randomly entangled I-CNT growth (0–4 min)

With growth time τ = 1 min, figure 1(a) shows that CNTgrowth by PECVD can rapidly generate lots of randomlyentangled CNTs that are composed of thick and short CNTs(� ∼ 100 nm, L ∼ 1 μm), plus some thin and long CNTs(� ∼ 20 nm, L ∼ 4 μm). This is the first time we havefound that the I-CNTs are randomly entangling and partiallystanding (some CNTs lying down) on the surface of thesubstrate, which is totally different from the vertically alignedCNTs [1–7, 22, 23]. Based on the morphology of the I-CNTs infigure 1(a) and the fast growth rate (around 1–4 μm min−1), itis suggested that the CNT growth is dominated by a thermalCVD processing rather than a PECVD processing (standardgrowth rate at 0.1–0.2 μm min−1 [8]), which probably resultedfrom the strong catalytic capability of the nanoscale Niparticles at high temperature, and the sufficient supply ofcarbon sources that came from the decomposition of thefeedgas C2H2. Interestingly, figures 1(a) and 2(a) show thatthe catalyst particles (Ni) only locate on the top end of eachCNT, which agrees with the most common CNT growth modeby PECVD (tip-mode) [1–7, 22, 23], but disagrees with thestandard CNT growth mode by thermal CVD (base- or root-mode) [24]. Under this circumstance, it is supposed thatthese isolated Ni particles were mainly granulated by the NH3

annealing (more than 30 min at high temperature), rather thanby the plasma etching (more details are discussed later).

However, the I-CNTs cannot grow further due to the effectof the subsequent plasma etching. Figure 1(b) shows that morethan half of the CNTs (thick and short) were etched away bythe plasma at τ = 2 min, and figure 1(c) shows that most ofthe CNTs disappeared at τ = 3 min. It is interesting to notethat the thin and long CNTs can survive for a longer period oftime than the thick and short ones. This phenomenon could beattributed to the fact that the thin and long CNTs have bettercrystallization (see figure 2(b)) than the thick and short ones

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Nanotechnology 22 (2011) 405601 H Wang and Z F Ren

Figure 1. SEM microphotographs showing the effect of plasma etching on the CNT growth evolution in a PECVD system (catalyst thicknessNi = 5 nm, growth time τ = 1–60 min).

(see figure 2(a)). Accordingly, the former has higher strengththan the latter to withstand the plasma etching. At τ = 4 min,figure 1(d) shows that there are a few thick and short CNTs leftplus some thin and long CNTs remaining.

At the early stage (τ = 0–4 min) of CNT growth,the I-CNTs experienced fast growth (within the first 1 min)and then were gradually etched away (within the following3 min), which may lead to two dramatic changes on thesurface of the substrate. One is the relocation of the nanosizedcatalyst particles that lifted off the substrate by CNT growthand returned to the surface owing to the removal of theI-CNTs, another is the deposition of the decomposed I-CNTfragments on the surface of the substrate, which is consistentwith the previous finding of the 5 nm amorphous carbon filmcovering on the substrate surface in PECVD operation [25].As a result, it is suggested that most of the catalyst particles(see figure 1(d)) were partially embedded into the amorphouscarbon coating on the substrate with their top surface open dueto the plasma etching. Additionally, it is seen that the arealdensity of Ni particles in figure 1(d) looks much higher than

that in figure 1(a). These extra Ni particles in figure 1(d) aresupposed to come from the crumbed Ni particles on the tipsof thick and short CNTs (see figure 2(a)) and some small Ninanoparticles which were previously embedded in the body ofthe thick and short CNTs [26].

3.2. Stage II: partially aligned II-CNT growth (τ = 4–10 min)

Originating from the high areal density of the small Ni particlesshown in figure 1(d), the II-CNTs can partially align due toa crowding effect or van der Waals forces [27], as shown infigures 1(e) and (f). At τ = 4–10 min, the II-CNT growthrate is around 2–4 μm min−1, which is almost 5–10 timesslower than the CNT growth rate by thermal CVD [24], butmore than 20 times faster than a standard CNT growth rateby PECVD [8]. Accordingly, it is suggested that this II-CNT growth may also be regarded as a kind of thermal CVDprocessing under plasma etching, as a result of the strongcatalytic ability of the small Ni particles. TEM images infigure 2(c) show that the II-CNTs (figure 1(f)) are very uniformin diameter (∼20 nm), and the inset shows that the multiwalled

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Nanotechnology 22 (2011) 405601 H Wang and Z F Ren

Figure 2. TEM microphotographs showing: ((a)–(g)) themicrostructure of the CNTs shown in figure 1, and (h) showing afork-like CNT due to the joining of two CNTs into one duringgrowth in the PECVD process.

II-CNTs have much better crystallization or graphitization thanthat obtained by normal PECVD growth [1, 2]. Actually, theseII-CNTs grown by PECVD have a very similar morphologyto those CNTs grown by thermal CVD [24, 28], except forthe fact that the II-CNTs grown by PECVD have the catalystparticles (Ni) located on the CNT top ends (tip-mode [22, 27])but the CNTs grown by CVD always keep the catalyst particles(Fe) at the bottom (base-mode [22, 27]). When the CNTgrowth time reached 8 min, as shown in figure 1(g), the top-view SEM image shows that some II-CNTs top tips aggregatedto form clusters as a result of plasma etching. Moreover, atτ = 10 min, figure 1(h) shows that most of the II-CNTswere removed by plasma etching. That is, the lifetime of II-CNTs is less than 6 min. During this period of time, II-CNTsmight effectively protect (covering) the remaining I-CNTsfrom the plasma etching. Therefore, it is noted that figures 1(h)and (d) have similar morphologies. Figures 1(h), 2(d) and (e)

clearly show that the remaining thick CNTs (leftover fromthe incomplete etching of the big diameter I-CNTs shown infigure 1(a)) have been seriously damaged by the plasma etching(indicated by the arrows in figure 2(e)).

Additionally, it is noted that the areal density of Niparticles in figure1(h) is a little bit smaller than that shownin figure 1(d). While the II-CNTs were etched out, most ofthe etched carbon species were evaporated and pumped out,but some CNT debris could directly fall down to the substratesurface to form the amorphous layer (see the regions indicatedby the arrows in the inset of figure 2(f)) [25]. In this case,some small Ni particles may have been embedded into thecarbon layer and thus cannot be imaged by the SEM shownin figure 1(h).

3.3. Stage III: fully aligned III-CNT growth (τ = 10–60 min)

While the II-CNTs were being etched out, a new kind of CNTs(III-CNTs, see the inset of figure 2(e)) started to nucleate andgrow. It is seen that the III-CNTs align perpendicularly tothe substrate with their catalyst particles facing the plasma ionbombardment. As shown in the inset of figure 2(e), the verylimited carbon deposition layer on the top surface should beidentified as the III-CNT growth direction. In this case, themetal particle (Ni) can act as a ‘safety helmet’ to withstand theplasma etching, which protects the main body of the III-CNT.Accordingly, it is reasonable that all of the III-CNTs are fullyperpendicular to the substrate, with the growth direction alongthe axis line of the III-CNTs only. Once some III-CNTs losethe shielding heads (Ni) or deviate from the growth direction,the CNTs will be cut/etched away by the plasma. In otherwords, the plasma etching only allows the vertically alignedCNTs to survive and grow longer (see figures 1(i)–(l)).

As for the III-CNT growth, figure 1(k) and the insetof figure 2(f) show that each III-CNT grows perpendicularlyto the substrate. Figure 2(f) clearly shows the tip-modegrowth [22, 23, 27] with the catalyst particles on the top endsof III-CNTs. The disordered ‘bamboo’ structure inside the III-CNTs is the proof of the growth direction, which is consistentwith the previous studies [2, 10]. During the III-CNT growth,some parts of the catalytic particles may break away due to theplasma etching and be embedded inside the III-CNT body, butothers may be etched off by plasma. Eventually, the catalyticparticles will be completely gone and the growth stops. Theinset of figure 2(g) clearly showed that one catalytic particlehas been completely removed by the plasma etching, resultingin a sharp end of the III-CNTs, which means the CNT cannotget further growth and start to be shortened due to furtherplasma etching. During the CNT growth of periodical arrayswith Ni = 40 nm [8], it is interesting to observe that twoindependent CNTs can utterly combine into one. Figure 2(h)clearly shows that the catalyst particles at the top of two CNTscan combine into one. Once two CNTs combine and mergetogether, it means that one of the two or both will deviate fromtheir original growth directions (both normal to the ground) andthe plasma etching may take place on the CNT body, which isshown by the arrow in figure 2(h).

In summary of the above evolution of CNT growth (withcatalyst Ni = 5 nm) in a PECVD system, an illustrating model

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Nanotechnology 22 (2011) 405601 H Wang and Z F Ren

Figure 3. A model showing the evolution of CNTs from I-CNTs toII-CNTs to III-CNTs during their growth by the PECVD system.

Figure 4. Diagram showing the CNT length versus growth time andthe starting and ending of the growth of the partially aligned II-CNTsand the fully aligned III-CNTs.

in figure 3 could help to elucidate the effect of plasma etchingon the evolution of I- and II-CNTs and the final growth ofIII-CNTs. Additionally, through careful measurements of theCNTs’ length at certain growth times, the growth evolution ofII-CNTs and III-CNTs can be found, as shown in figure 4. Itclearly shows the starting and ending of each growth stage andthe evolution of the growth with time.

3.4. Effect of catalyst thickness on CNT growth

As shown in the above, it is interesting to note that the threegrowth stages (I, II, III-CNTs) can be observed for catalystthickness Ni = 5 nm. However, with catalyst Ni = 2 nmand growth time at τ = 7 min, figure 5(a) shows that theCNTs are randomly distributed on the substrate surface. Asa result of the thin coating, these CNTs cannot stand up bythemselves due to the lower areal density of the CNTs. Withthe critical coating thickness Ni = 5 nm and growth time atτ = 7 min, figure 5(b) shows the aligned II-CNT film which isthe same as shown in figure 1(f). When the catalyst thicknessincreases to 10 nm (figure 5(c)) or 20 nm (figure 5(d)) or 50 nm(figures 5(e) and (f)), our studies show that the III-CNTs arethe only type of CNTs at τ = 7 min. It is suggested that thesethick catalyst coatings (Ni � 10 nm) should directly producemany large particles and fewer small ones. In addition, withthe catalyst thickness increasing from 10 to 20 to 50 nm, thediameters of these III-CNTs increase significantly, as shownin figures 5(c)–(f), respectively. Moreover, figures 5(e) and (f)(with 30◦ tilting) show that there are lots of vertically alignedsmall CNTs among the big III-CNTs. The experimental results

Figure 5. Effect of the thickness of the catalyst coating (Ni, from 2to 50 nm) on the growth of CNTs (growth time fixed at 7 min).

show that all these small CNTs can be completely removed byplasma etching when the growth time is more than 15–20 min.

4. Conclusions

The plasma etching effect is the most important feature forCNT growth by PECVD. In this paper, we find that fora particular thickness of the catalytic layer Ni = 5 nm,the growth evolves through three major stages with time:random large and small diameter I-CNTs, partially alignedsmall diameter II-CNTs, and fully aligned large diameter III-CNTs, which is totally different from the previous reports ofonly one growth mode. Within the period τ = 0–4 min,the I-CNTs (a mixture of large diameter CNTs and smalldiameter CNTs) grow via the thermal CVD growth mode, withcatalyst particles on the top ends (tip-growth), and then aremostly etched away by plasma. Between τ = 4–10 min,II-CNTs also grow via thermal CVD growth mode and aregradually etched away. At about τ = 10 min, most of theII-CNTs and the I-CNTs remaining are etched away and theIII-CNTs start to grow. The catalyst particles on the top endof the III-CNTs can effectively protect the CNTs beneath,but the catalyst particles themselves are gradually etched orbroken into smaller particles due to the plasma etching andeventually they are completely etched away and the growthstops. Generally, a thicker catalyst coating produces biggerisolated particles, which leads to bigger diameter and longerIII-CNTs, but the final length of the III-CNTs is limited sincethe catalytic particles are consumed by plasma.

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Acknowledgment

The work was funded by DARPA under a primary contractG8U531913 to Teledyne Scientific & Imaging to which BostonCollege is subcontracted.

References

[1] Ren Z F et al 1998 Science 282 1105–7[2] Huang Z P, Wang D Z, Wen J G, Sennett M, Gibson H and

Ren Z F 2002 Appl. Phys. A 74 387–91[3] Chhowalla M et al 2001 J. Appl. Phys. 90 5308–17[4] Choi J H et al 2003 Thin Solid Films 435 318–23[5] Huang Z P, Xu J W, Ren Z F, Wang J H, Siegal M P and

Provencio P N 1998 Appl. Phys. Lett. 73 3845–7[6] Gohier A, Minea T M, Djouadi M A and Granier A 2007

J. Appl. Phys. 101 054317[7] Luo Z Q et al 2008 Nanotechnology 19 255607[8] Wang Y et al 2004 Appl. Phys. Lett. 85 4741–3[9] Teo K B K et al 2004 Nano Lett. 4 921–6

[10] Merkulov V I, Lowndes D H, Wei Y Y, Eres G andVoelkl E 2000 Appl. Phys. Lett. 76 3555–7

[11] Han J-H et al 2002 Thin Solid Films 409 120–5

[12] Huang S M and Dai L M 2002 J. Phys. Chem. B 106 3543–5[13] Wen H–C et al 2006 Surf. Coat. Technol. 200 3166–9[14] Poulsen R G 1977 J. Vac. Sci. Technol. 14 266–74[15] Bondur J A 1976 J. Vac. Sci. Technol. 13 1023–9[16] Coburn J W, Winters H F and Chuang T J 1977 J. Appl. Phys.

48 3532–40[17] Plumb I C and Ryan K R 1986 Plasma chem. Plasma Process.

6 205–30[18] Gottscho R A, Jurgensen C W and Vitkavage D J 1992 J. Vac.

Sci. Technol. B 10 2133–47[19] Winters H F and Coburn J W 1992 Surf. Sci. Rep. 14 161–269[20] Coburn J W and Winters H F 1979 J. Vac. Sci. Technol.

16 391–403[21] Ostrikov K, Xu S, Huang S Y and Levchenko I 2008 Surf.

Coat. Technol. 202 5314–8[22] Merkulov V I, Melechko A V, Guillorn M A, Lowndes D H

and Simpson M L 2001 Appl. Phys. Lett. 79 2970–2[23] Melechko A V, Merkulov V I, Lowndes D H, Guillorn M A

and Simpson M L 2002 Chem. Phys. Lett. 356 527–33[24] Zhang C et al 2008 Diam. Relat. Mater. 17 1447–51[25] Teo K B K et al 2002 J. Vac. Sci. Technol. B 20 116–21[26] Jo S H et al 2004 Appl. Phys. Lett. 84 413–5[27] Melechko A V et al 2005 J. Appl. Phys. 97 041301[28] Qu L T, Dai L M, Stone M, Xia Z H and Wang Z L 2008

Science 322 238–42

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