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GaN œ ÄT c l8 ý  Œ ºX ì Ä + s Ç] K ¤T  ¹ ÅM X ì Ä — ¤V R Ë; c Q V À W ¥ W _ Ë] ‚ §

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GaN œ ÄT c l8 ý  Œ ºX ì Ä + s Ç] K ¤T   ¹ ÅM X ì Ä — ¤V R Ë; c Q V À W ¥ W _ Ë] ‚ §

ƒ

‘

šŠ û BZ 9 

∗ · + ä Q   · T + ä * × < · … è ¡ * > · ™ » ý — ¡Š û B · † ç ¡U ‡ Ú

ô

 Dz D G K € ª œ@ /† < Ɠ § ì ø ͕ ¸^ ‰Ó ü t o „  / B N,  Òí ß – 606-791



¡ ò 6 BŒ ‰ x · ™ »+ ä  . >

Institute for Materials Research, Tohoku University, Japan 980-8577 (2006¸   1 Z 4 16{ 9  ~ Ã Î6 £ §)

Al

2

O

3

(0001) l ó ø Í 0 A\  AlN ! Q( 8 £ x`  ¦ metal organic hydride vapor phase epitaxy (MO-HVPE) Z O

Ü ¼– Ð $ í  © œr v “ ¦, GaN Ê ê} Œ •`  ¦ hydride vapor phase epitaxy (HVPE)Z O `  ¦  6   x K " f $ í  © œr (   .

$ í

 © œ  ) a GaN Ê ê} Œ •_  „  l & h “   : £ ¤$ í õ  ½ ¨› ¸& h “   : £ ¤$ í `  ¦ ¨ î  l  0 AK " f, “ : r • ¸    o\    É r Hall ´ òõ  8

£ ¤& ñ õ  high resolution X-ray diffractometer (HRXRD) 8 £ ¤& ñ `  ¦ z  ´r  % i  . HRXRD\ " f 8 £ ¤& ñ  ) a Z 

}“ É r „  0 A x 9 • ¸ü < “ : r • ¸    o\    É r Hall ´ òõ  8 £ ¤& ñ \ " f % 3 # Q”   Z  }“ É r „   0 l x • ¸ x 9 ± ú “ É r s 1 l x • ¸– РÒ' 

 

† < Ê x 9 „  0 A 1 p x _  ½ ¨› ¸& h  Ô  ¦ç  H{ 9 $ í s  „   _  s 1 l x \  ´ ú §“ É r ] jô  Ç`  ¦ ï  r    H  z  ´`  ¦ S X ‰ “   % i  . ¢ ¸ô  Ç GaN ? /_    † < Ê ½ ¨› ¸ „  l & h “   : £ ¤$ í \  p u   H % ò † ¾ Ó`  ¦ Ÿ íJ $ ™[ >   © œ# 4  — ¸4 S q (potential barrier model)

`

 ¦ s 6   x K  [ O " î % i  .

PACS numbers: 71.23.-k

Keywords: GaN, HRXRD, Hall ´ òõ  8 £ ¤& ñ , Ÿ íJ $ ™[ >  © œ# 4  — ¸4 S q

I. " e  ] Ø

Gallium nitride (GaN)\  ¦ ×  æd ” Ü ¼– Ð   H III-V7 á ¤ | 9  o Ó

ü

t ì ø ͕ ¸^ ‰  H \ P & h ,  o† < Æ& h Ü ¼– Ð î ß –& ñ ½ + É ÷  r ë ß –  m   Õ ª 6

£

x6   x # 3 0 A F g# 3 0 A # Œ : £ ¤$ í ƒ  ½ ¨ x 9 ™ è  > hµ 1 Ïs   Ö ¸ µ

1 Ïy  s À Ò# Qt “ ¦ e ”   [1]. “ ¦¾ ¡ §| 9  GaN $ í  © œ`  ¦ 0 AK " f



 H 1 l x7 á x  & ñ $ í  © œ (Homoepitaxy)s  € 9 כ ¹ t ë ß – Z O ß ¼   

&

ñ $ í  © œs  # Q§ > l  M :ë  H \  HVPE (Hydride Vapor Phase Epitaxy) 1 p x _  ~ ½ ÓZ O Ü ¼– Ð Al

2

O

3

, SiC 1 p x _  s 7 á x l ó ø Í`  ¦ s  6

 

x # Œ Ê ê} Œ •Ü ¼– Ð $ í  © œ  ) a Ä » l ó ø Í (Pseudo substrate)`  ¦ ]

j Œ • # Œ  6   x “ ¦ e ”   [2,3]. t ë ß – $ í  © œ õ & ñ ×  æ \  Ê

ê} Œ • GaN ü < l ó ø Íõ _  \ P Ø Ÿ ‚ ½ Ó> à º_  s – Ð “  K " f $ í



© œ 8 £ x \   ½ ™` ç (bending), ß ¼A ( ç (cracking) Õ ªo “ ¦ ï ß –À Ó 6

£ x§ 4  (residual stress) 1 p x õ  ° ú  “ É r ´ ú §“ É r ë  H ] j µ 1 ÏÒ q tô  Ç .

s

 Qô  Ç ½ ¨› ¸& h    † < Ê`  ¦ ”   GaN Ä » l ó ø Í (Ê ê} Œ •)“ É r Õ ª 0

A\  $ í  © œ÷ &  H ì ø ͕ ¸^ ‰ ™ è _  $ í 0 p x \  „  l & h , F g † < Æ& h Ü ¼

–

Ð &  ê ø Í % ò † ¾ Ó`  ¦ p u >  ÷ &l  M :ë  H \  [4], GaN _  : £ ¤$ í

\

 @ /ô  Ç & ñ S X ‰ ô  Ç s K ü < ´ ú §“ É r ƒ  ½ ¨ € 9 כ ¹  . Õ ª ×  æ \ 

•

¸ : £ ¤ y  Ê ê} Œ • GaN_  ½ ¨› ¸& h  : £ ¤$ í õ  › ' aº   ) a F g † < Æ& h , „   l

& h  : £ ¤$ í _     o\  @ /K " f  H " f– Ð ´ ú §“ É r ƒ  › ' a$ í `  ¦ t 

E-mail: sh˙[email protected]

“

¦ e ” 6 £ § \ • ¸ Ô  ¦ ½ ¨ “ ¦ Õ ª ƒ  › ' a$ í \  @ /ô  Ç  © œ[ jô  Ç ƒ  ½ ¨

Â

Ò7 á ¤ ô  Ç z  ´& ñ s  .

‘

: r  7 Hë  H \ " f  H Al

2

O

3

l ó ø Í 0 A\  metal organic hydride vapor epitaxy (MO-HVPE) ~ ½ ÓZ O `  ¦ : Ÿ x ô  Ç AlN ! Q(  8 £ x õ  hydride vapor phase epitaxy (HVPE) ~ ½ ÓZ O `  ¦ s 6   x # Œ

$ í

 © œô  Ç GaN Ê ê} Œ •_  ½ ¨› ¸& h    † < Ês  „  l & h  : £ ¤$ í _    



o\  p u   H % ò † ¾ Ó`  ¦ “ ¦¹ 1 Ï % i  . GaN_  ½ ¨› ¸& h “   : £ ¤

$ í

`  ¦ › ¸  l  0 AK " f high resolution X-ray diffraction (HRXRD) `  ¦ s 6   x % i “ ¦, „  l & h “   : £ ¤$ í `  ¦ › ¸  l  0 A K

" f 10 ∼ 300 K_  # 3 0 A\ " f Hall ´ òõ \  ¦ 8 £ ¤& ñ % i  .

¿

º t  8 £ ¤& ñ   õ \  ¦  „ ½ ÓÜ ¼– Ð Õ ª ƒ  › ' a$ í \  @ /K " f „  0 A

 ©

œ# 4  — ¸4 S q`  ¦ s 6   x # Œ  7 H _  % i  .

II. ÷ m Ç ] M ö

Al

2

O

3

(0001) l ó ø Í“ É r Ä »l [ j' ‘  Ê ê l ó ø Í ³ ð€  _  í ß – o }

Œ

•`  ¦ ] j  l  0 AK " f HF`  ¦ s 6   x # Œ \ g A ÷ &% 3  . l  ó

ø Í 0 A\  AlN ! Q( 8 £ x`  ¦ MO-HVPE Z O Ü ¼– Ð · û ª>  $ í  © œr  v

“ ¦, Õ ª 0 A\  GaN Ê ê} Œ •`  ¦ HVPE Z O `  ¦  6   x # Œ $ í  © œr  ( 

 .

GaN > \ P    & ñ $ í  © œ ~ ½ ÓZ O  ×  æ HVPE  H   & ñ $ í  © œÒ  ¦ s  B

Ä º À 1 Ï  Ê ê} Œ •   & ñ `  ¦ ~ 1 >  % 3 `  ¦ à º e ” l \  ´ ú §s  s 6   x

-278-

(2)

÷

&“ ¦ e ”  . Õ ª Q  ‘ : r z  ´+ « >\ " f  H HVPE \   © œ‚ à Ìô  Ç TMA (trimethylaluminum) ü < NH

3

\  ¦ " é ¶ « Ñ Û ¼– Ð  6   x # Œ · û ª

“ É

r ~ à Ì} Œ •`  ¦ % 3 `  ¦ à º e ”   H MOCVD $ í  © œ ~ ½ ÓZ O `  ¦ HVPE  © œ u

\  • ¸{ 9 ô  Ç MO-HVPE Z O `  ¦ s 6   x % i  . · û ª“ É r ! Q( 8 £ x

“

É r MOCVD $ í  © œ ~ ½ ÓZ O Ü ¼– Ð $ í  © œr v “ ¦, Ê ê} Œ • GaN 8 £ x

“

É r HVPE Z O Ü ¼– Ð ô  Ç ì ø Í6 £ x› ' a \ " f $ í  © œr ( ” Ü ¼– Ð+ ‹ € ª œ| 9  _

 GaN   & ñ `  ¦ $ í  © œ½ + É Ã º e ”  .

AlN ! Q( 8 £ x $ í  © œr  TMA (trimethylaluminum) " é ¶ « Ñ _

 î  r ì ø ÍÛ ¼ü < ì ø Í6 £ x› ' a _  ì  r 0 Al  Û ¼– Ð N

2

\  ¦  6   x 

%

i  . s M : ì ø Í6 £ x› ' a ? / Җ Ð / B N/ å L K ï  r ì ø Í6 £ x Û ¼_  € ª œ“ É r NH

3

  H 500 sccm, TMA  H 100 sccm s “ ¦, 900

C _  $ í  © œ

“

: r • ¸\ " f €  • 80  ¿ ºa _  AlN ! Q( 8 £ x`  ¦ $ í  © œr (   . Õ ª o

“ ¦ HVPE_  à º¨ î + þ A multi-zone furnace`  ¦ s 6   x # Œ Ga

% ò

% i `  ¦ 850

C, $ í  © œ % ò % i `  ¦ 1050

C – Ð y Œ • % ò % i _  “ : r • ¸

\

 ¦ Ä »t   9 F K5 Å q Ga \  HCl`  ¦ f  Ë  9 GaCl`  ¦ + þ A$ í r v “ ¦ NH

3

ü < ì ø Í6 £ x r &  250 µm ¿ ºa _  GaN\  ¦ $ í  © œr (    [5].

$ í

 © œ  ) a GaN Ê ê} Œ • r « Ñ_  ³ ð€   › ' a ¹ 1 ϓ É r atomic force microscopy (AFM) \  ¦ s 6   x % i  . 8 £ ¤& ñ r  10 µm × 10 µm # 3 0 A\ " f 8 £ ¤& ñ % i  . Õ ªo “ ¦ r « Ñ_  ½ ¨› ¸& h “   : £ ¤

$ í

`  ¦ ¨ î  l  0 AK " f HRXRD 8 £ ¤& ñ `  ¦ z  ´r  % i  . { 9  ì

ø Í& h Ü ¼– Ð GaN $ í  © œ ×  æ Al

2

O

3

l ó ø Íõ  ~ à Ì} Œ • ç ß –_  Ó ü t o 

&

h   © œÃ º \  _ ô  Ç „  0 A µ 1 ÏÒ q t >   ) a  . s  „  0 A[ þ t“ É r (0001) ~ ½ ӆ ¾ Ó\    É r ~ à Ì} Œ •_  threading „  0 A\  ¦ “ ¦ 9½ + É M : (0002) €  \  @ /ô  Ç rocking curve_  ì ø Íu ; Ÿ ¤“ É r  ‚  + þ A „  0 A (screw dislocation) \  _ K     >  ÷ &“ ¦, (10-11) €  \ " f _

 ì ø Íu ; Ÿ ¤“ É r  ‚  + þ A „  0 A÷  r ë ß –  m   = å Q Qo  „  0 A (edge dislocation), ™ D ¥ ½ + Ë „  0 A (mixed dislocation)\  _ K     

>

  ) a  . # Œl " f  ‚  + þ A„  0 A, = å Q Qo  „  0 A  H   & ñ w n _  l  Ö

 ¦ # Qf ”  (tilt) ü < q d  ¦a Ë > (twist) `  ¦ y Œ •y Œ • Ä »µ 1 Ï >  ÷ & 9, s

– Ð “  ô  Ç ï ß –À Ó 6 £ x§ 4 õ  ~ à Ì} Œ •_      — ¸ s ß ¼ o\  ¦ · ú ˜ 

˜

Ðl  0 AK  (0002), (10-11) y Œ • €  \  @ /K  ω, 2θ − ω scan`  ¦ z 

´r  % i  . ¢ ¸ô  Ç, $ í  © œ  ) a r « Ñ_  „  l & h “   : £ ¤$ í `  ¦ › ¸ 

l  0 AK " f, “ : r • ¸\  ¦    or v €  " f Hall 8 £ ¤& ñ `  ¦ % i  .

Hall 8 £ ¤& ñ “ É r Van der Pauw Z O Ü ¼– Ð z  ´r  % i “ ¦, Hall 8 £ ¤

&

ñ \   6   x ÷ &  H & ñ À Ó$ í ] X ½ + Ë\  € 9 כ ¹ô  Ç „  F G Ü ¼– Ѝ  H Al s 



6   x ÷ &% 3  . Hall 8 £ ¤& ñ \   6   x ) a  l  © œ_  [ jl   H 3500 gauss s % 3 “ ¦, “ : r • ¸\  ¦ 10 K \ " f 300 K t     or v €  " f Hall 8 £ ¤& ñ `  ¦ z  ´r  # Œ H o # Q 0 l x • ¸, s 1 l x • ¸_     o\  ¦ › ' a

¹ 1 Ï % i  .

III. + s ÇÊ Ý õ m Í w в  o

$ í

 © œ  ) a GaN Ê ê} Œ •_  ³ ð€  `  ¦ atomic force microscopy (AFM)\  ¦ s 6   x # Œ › ' a ¹ 1 Ï % i  . ³ ð€    } 9 l  (RMS, root

Fig. 1. (0002) 2θ − ω scan. The inset shows same result in logarithmic scale. (b) (0002) and (10-11) ω scans. The solid line is for (10-11) reflection and dotted line is for (0002) reflection.

mean square)  H 2.3  – Ð q “ §& h  ¨ î ò ø ͆ < Ê`  ¦ · ú ˜ à º e ” % 3  t

ë ß –, ³ ð€  \   H ß ¼Ï þ ˜s  ” > r F † < Ês  S X ‰ “  ÷ &% 3  . s  Qô  Ç ß ¼ Ï þ

˜[ þ t“ É r e ” > ¿ ºa  s  © œ\ " f \ P Ø Ÿ ‚ ½ Ó > à º \  _ ô  Ç Û ¼à Ô Y

UÛ ¼ ¢ - a  o÷ &  H õ & ñ \ " f µ 1 ÏÒ q tô  Ç “ ¦ · ú ˜ 94 R e ”  . Hi- ramatsu 1 p x“ É r 20 µm s  © œ_  ¿ ºa \  ¦ ”   GaN “ É r \ P & h  Û

¼à ÔY UÛ ¼_  ¢ - a  o õ & ñ \ " f  r & h  ß ¼Ï þ ˜ (macrocrack)s  µ

1 ÏÒ q tô  Ç “ ¦ ˜ Г ¦ “ ¦ e ”   [4]. r « Ñ_  ½ ¨› ¸& h  : £ ¤$ í `  ¦ ˜ Ð



 f ” ] X & h Ü ¼– Ð ¨ î  l  0 AK " f HRXRD 8 £ ¤& ñ `  ¦ z  ´r  

%

i  . Fig. 1(a)  H (0002) €  \  @ /K " f 2¸-É scan   õ 

\

 ¦   ? /“ ¦ e ”  . s  M : › ' a ¹ 1 Ï  ) a 34.56

_  x ß ¼  H ¹ ¢ ¤ ~ ½ Ó& ñ (hexagonal) GaN   & ñ ½ ¨› ¸_  (0002) €  \  _ ô  Ç x ß ¼ü <

{ 9

u ô  Ç . Fig. 1(a)_  (0002) €  \  @ /ô  Ç 2θ − ω scan    õ

\ " f $  r] X y Œ • ~ ½ ӆ ¾ ÓÜ ¼– Ð €  •ç ß –_  q @ /g A$ í (asymme-

try) _  — ¸€ ª œ`  ¦ ˜ Ðs “ ¦ e ”  . s  כ “ É r AlN ! Q(  8 £ x s  e ” 6 £ §

(3)

\

• ¸ Ô  ¦ ½ ¨ “ ¦ Al

2

O

3

l ó ø Í ˜ Ð  GaN _  \ P Ø Ÿ ‚ ½ Ó > à º



Œ

•l  M :ë  H \  µ 1 ÏÒ q tô  Ç · ú š» ¡ ¤$ í 6 £ x§ 4  (compressive strain)s  GaN Ê ê} Œ •\  ” > r F  “ ¦ e ” 6 £ §`  ¦ ´ ú ˜K Šғ ¦ e ” “ ¦, s  Qô  Ç 6 £ x

§

4 s  ” > r F ½ + É M : GaN ³ ð€  “ É r ^  ¦2 Ÿ ¤ ô  Ç ½ ¨› ¸ (convex struc- ture)\  ¦ + þ A$ í  9   & ñ ½ ¨› ¸_  — ¸ s ß ¼ o ”  ' Ÿ  ÷ &  H

 כ

Ü ¼– Ð · ú ˜ 94 R e ”   [6]. ¢ ¸ô  Ç · ú ¡" f [ O " î ô  Ç ³ ð€  _  ß ¼Ï þ ˜

•

¸ s  Qô  Ç \ P Ø Ÿ ‚ ½ Ó > à º_  \  _ K " f µ 1 ÏÒ q t   H  כ Ü ¼– Ð

· ú

˜ 94 R e ”   [4]. s  Qô  Ç ½ ¨› ¸& h    † < ʓ É r Ä » l ó ø Í 6 £ x6   x

`

 ¦ $ K    H : £ ¤$ í Ü ¼– Ð $ í  © œ› ¸| _  þ j& h  o x 9 D h– Ðî  r $ í



© œl Õ ü t _  > hµ 1 Ï 1 p x`  ¦ : Ÿ x K " f > h‚  ÷ &# Q  ½ + É & h Ü ¼– Ð ó ø Íé ß –

 ) a  .

Fig. 1(b)  H (0002), (10-11) €  \  @ /K " f y Œ •y Œ •_  ω scan _  rocking curve\  ¦   ? /“ ¦ e ”  . (0002) €  \  @ / ô

 Ç ω scan_  ì ø Íu ; Ÿ ¤“ É r 1209 arcsec _  ° ú כs  8 £ ¤& ñ ÷ &% 3 “ ¦, (10-11) €  \  @ /ô  Ç ω scan_  ì ø Íu ; Ÿ ¤“ É r 2299 arcsec _  ° ú כ s

 8 £ ¤& ñ ÷ &% 3  .

XRD _  ì ø Íu ; Ÿ ¤“ É r   & ñ $ í \    y Œ ™ >  % ò † ¾ Ó`  ¦ ~ à ÎÜ ¼ 9 :

£

¤ y  2θ − ω ° ú כ_  ì ø Íu ; Ÿ ¤“ É r ~ à Ì} Œ • ? / ï ß –À Ó 6 £ x§ 4 _  % ò † ¾ ÓÜ ¼

–

Ð V , # Qt “ ¦, ω ° ú כ_  ì ø Íu ; Ÿ ¤“ É r   & ñ _  — ¸ s ß ¼ o_  & ñ

•

¸\  ¦ ì ø Í% ò ô  Ç  [7]. ¢ ¸ô  Ç „  0 Aü < › ' aº  K " f• ¸ (0002) €  

\

 @ /ô  Ç ì ø Íu ; Ÿ ¤“ É r = å Q Qo  „  0 A\  _ K " f V , # Qt   H ì ø ̀  , (10-11) €  \  @ /ô  Ç ì ø Íu ; Ÿ ¤“ É r = å Q Qo  „  0 A,  ‚  + þ A „  0 A 1 p x

—

¸Ž  H „  0 A % ò † ¾ Ó`  ¦ p u   H  כ Ü ¼– Ð K $ 3 ½ + É Ã º e ”  .  



" f (0002) €  ˜ Ð  (10-11) €  _  X‚    r] X    õ _  ì ø Íu 

;

Ÿ

¤ s  V , “ É r  כ “ É r ŠҖ Ð  ‚  + þ A „  0 A_  % ò † ¾ Ó\  _ ô  Ç  כ Ü ¼– Ð

˜

Г    [8]. (0002) €  õ  (10-11) €  \  @ /ô  Ç ω scan_  ì ø Íu 

;

Ÿ

¤ s  y Œ •y Œ •   & ñ $ í  © œ~ ½ ӆ ¾ Óõ    & ñ $ í  © œ€  ? / (in-plane) ~ ½ Ó

†

¾ Ó_  Á º| 9 " f• ¸ (lattice disordering)\  ¦ ì ø Í% ò   H & h Ü ¼– Ð Â

Ò' ,   & ñ ? / „  0 A x 9 • ¸\  ¦ s  : r& h Ü ¼– Ð   & ñ ½ + É Ã º e ”  .

βS ü < βE y Œ •y Œ • (0002), (10-11) €  \  @ / # Œ  ‚  + þ A

„

 0 Aü < = å Q Qo  „  0 A\  _ ô  Ç XRD _  ω scan ì ø Íu ; Ÿ ¤`  ¦  

? /  H  â Ä º  6 £ § d ”  (1), (2)\  ¦ s 6   x # Œ GaN Ê ê} Œ •   

&

ñ ? /_  „  0 A x 9 • ¸ (dislocation density)  H  6 £ § d ” Ü ¼– Ð Å

Ò# Q”    [9].

N

S

= β

S2

4.35b

2S

(1) (N

S

: Screw dislocation density

b

S

: Screw dislocation burgers vector)

N

E

= β

E2

4.35b

2E

(2) (N

E

: Edge dislocation density

b

E

: Edge dislocation burgers vector)

Fig. 2. Temperature dependence of carrier mobility.

‘

: r z  ´+ « >\ " f  6   x ô  Ç Ê ê} Œ • GaN – Ð Â Ò'  > í ß –`  ¦ : Ÿ x K 

"

f 2.9 × 10

9

cm

−2

_   ‚  + þ A „  0 A x 9 • ¸ü < 2.7 × 10

10

cm

−2

_  = å Q Qo  „  0 A x 9 • ¸ ” > r F † < Ê`  ¦ · ú ˜ à º e ”  . s  Q ô

 Ç „  0 A  H GaN   & ñ `  ¦ — ¸ s ß ¼ o r †   . 7 £ ¤ „  0 A_ 

@

/ Òì  r s  GaN Ê ê} Œ • ? /   & ñ w n  (grain)õ    & ñ w n _  > €   (grain boundary) \  0 Au   9   & ñ ? / „  • ¸ ‰ & ³ © œ\ • ¸ ´ ú §

“ É

r % ò † ¾ Ó`  ¦ Šҍ  H  כ Ü ¼– Ð · ú ˜ 94 R e ”   [10,11].   " f s  Q ô

 Ç „  0 A_  % ò † ¾ Ó`  ¦ ì  r$ 3  l  0 AK " f  H ½ ¨› ¸& h  : £ ¤$ í ÷  r   m

  „  l & h  : £ ¤$ í _  ì  r$ 3 • ¸ € 9 כ ¹† < Ê`  ¦ · ú ˜ à º e ”  . $ í  © œ  ) a r

« Ñ\  @ /ô  Ç „  l & h  : £ ¤$ í `  ¦ › ¸  l  0 AK " f “ : r • ¸    o

\

   É r Hall ´ òõ  8 £ ¤& ñ `  ¦ z  ´r  % i  . z  ´“ : r \ " f Hall ´ ò õ  8 £ ¤& ñ `  ¦ ô  Ç   õ , n + þ A „  • ¸$ í `  ¦ t  9, „    0 l x • ¸  H 4.4 × 10

18

/cm

3

, s 1 l x • ¸  H 18 cm

3

/Vs, Õ ªo “ ¦ q $ † ½ Ó

“

É r 0.1 Ω·cm – Ð 8 £ ¤& ñ ÷ &% 3  . Fig. 2  H “ : r • ¸\  ¦    or v  9 Hall ´ òõ  8 £ ¤& ñ `  ¦ # Œ % 3 “ É r GaN _  s 1 l x • ¸_     o\  ¦  

? /“ ¦ e ”  . „    s 1 l x • ¸  H 206 K \ " f €  • 18 cm

3

/Vs _  þ

j@ / ° ú כ`  ¦ ˜ Ð% i  . 300 K Ò'  10 K t  “ : r • ¸    o† < Ê

\

    s 1 l x • ¸  H 206 K\  ¦ þ j@ /° ú כÜ ¼– Ð Õ ª˜ Ð  ± ú “ É r “ : r

•

¸ü < Z  }“ É r “ : r • ¸\ " f  H y Œ •y Œ • y Œ ™™ è   H  ⠆ ¾ Ó`  ¦ ˜ Ð% i  .

{ 9

ì ø Í& h Ü ¼– Ð H o # Q s 1 l x • ¸_  “ : r • ¸ _ ” > r$ í “ É r : £ ¤& ñ “ : r

•

¸\ " f     í ß –ê ø Íõ  Ô  ¦í  HÓ ü t í ß –ê ø Í_  % ò † ¾ Ós  þ j™ è° ú כ`  ¦ s  À

Òl  M :ë  H Ü ¼– Ð [ O " î  ) a   [12]. s  Qô  Ç  â Ä º „  ^ ‰& h “   s  1

l

x • ¸  H  6 £ § d ” õ  ° ú  s  ¿ º t  í ß –ê ø Í  Œ •6   x _  % ò † ¾ Ó`  ¦   

½

+ Ër ( ” Ü ¼– Ð+ ‹ % 3 # Qè ­ q à º e ”   [12,13].

1 µ = 1

ν

ion

+ 1

µ

lat

(3) (µ

ion

: Ionized impurity scattering

µ

lat

: Lattico scattering) ë

ß –{ 9  ‘ : r z  ´+ « >\ " f % 3 # Q”     õ \  ¦ é ß –í  H y  Ô  ¦í  HÓ ü t í ß –ê ø Í õ

     í ß –ê ø ÍÜ ¼– Ð [ O " î ½ + É Ã º e ”  €   $ “ : r \ " f  H T

3/2

, “ ¦

(4)

Fig. 3. Variation of the carrier concentration in GaN thick film.

“

: r \ " f  H T

−3/2

\  q Y VK   t ë ß –, 206 K s  \ " f  H T

1/20

, 206 K s  © œ\ " f  H T

−1/20

\  q Y V “ ¦ e ”  . s  כ Ü

¼– Ð ˜ Ð  s “ : r  o Ô  ¦í  HÓ ü t õ      ”  1 l x \  _ ô  Ç í ß –ê ø Í s ü @

\

 s 1 l x • ¸\  % ò † ¾ Ó`  ¦ p u   H   É r כ ¹™ è e ”    H  כ `  ¦ · ú ˜ Ã

º e ”  . s  Qô  Ç Å Òכ ¹ כ ¹“  Ü ¼– Ѝ  H · ú ¡" f XRD   õ \ " f

•

¸ [ O " î ô  Ç@ /– Ð   & ñ w n  > €  _  „  0 A\  _ ô  Ç % ò † ¾ Ós  \ V © œ

 ) a   [14].

Fig. 3“ É r “ : r • ¸    o\    É r „    0 l x • ¸_     o\  ¦   

?

/“ ¦ e ”  . $ í  © œ  ) a GaN Ê ê} Œ •“ É r n + þ A „  • ¸$ í `  ¦   ? /“ ¦ e ”

Ü ¼ 9, z  ´“ : r \ " f “ : r • ¸ ± ú  f ” \     182 K t  „    0

l

x • ¸ y Œ ™™ è    r   Œ •“ É r 7 £ x \  ¦ ˜ Ðs t ë ß –, 66 K s 

\ " f  H  _     o \ O % 3  . “ : r • ¸    o\    É r H o # Q 0

l

x • ¸_     o  H  6 £ § õ  ° ú  “ É r d ” Ü ¼– Ð   è ­ q à º e ”   [11].

n(T ) = n

0

exp(− E

n

kT ) (4) 0

A d ” \ " f E

n

  H H o # Q_   Ö ¸$ í  o \  -t ,k  H ^  ¦ Þ Ôë ß –



© œÃ ºs “ ¦, n

0

  H “ : r • ¸\  1 l qw n & h “   „   0 l x • ¸\  ¦    · p .

200 K \ " f 300 K t _  “ : r • ¸ # 3 0 A\ " f d ”  (2)\  ¦ s 6   x 

#

Œ K $ 3  % i `  ¦ M : 8 £ ¤& ñ  ) a H o # Q 0 l x • ¸_     o– РÒ'   Ö ¸

$ í

 o \  -t   H 30.8 meV – Ð Æ Ò& ñ ÷ &% 3  . s    õ   H Si Ô  ¦ í

 HÓ ü t s  GaN î ß –\  28 meV_   Ö ¸$ í  o \  -t \  ¦ ”     H

˜

Г ¦   õ ü <  © œ{ © œô  Ç { 9 u \  ¦ ˜ Г    [11].   " f 8 £ ¤& ñ  ) a

 Ö

¸$ í  o \  -t _  ° ú כ“ É r HVPE $ í  © œ r  ™ D ¥{ 9 ÷ &  H  כ Ü ¼– Ð

˜

Ðs   H Ô  ¦í  HÓ ü t ï  r 0 A\  _ ô  Ç  כ Ü ¼– Ð ó ø Íé ß –  ) a   [15].

ì

ø ̀   $ “ : r \ " f_  „    0 l x • ¸\  @ /K " f  H & ñ $ í & h Ü ¼– Ð   6

£

§ õ  ° ú  “ É r [ O " î s  0 p x  . 66 K s  _  $ “ : r \ " f  H „  

•

¸@ /_  „     H 1 l x   (Freeze out)÷ & 9, s M : ` …Ø Ôp  \  - t

  H   † < Ê ï  r 0 A\  “ ¦& ñ ÷ &# Q   † < Ê ï  r 0 A\  ¦ : Ÿ x ô  Ç „  • ¸ t 

Fig. 4. Schematic drawing of band diagram for carrier transportation with mosaic structure. Φ

B

represents the potential barrier.

C

& h Ü ¼– Ð { 9 # Q >   ) a  .   " f “ : r • ¸ü < › ' a >  \ O s  { 9 & ñ ô

 Ç „    0 l x • ¸_  ° ú כ`  ¦ ˜ Ðs >   ) a  . Õ ª Q  “ : r • ¸ 7 £ x 

€   „   [ þ t s   Ö ¸$ í  o ÷ &# Q „  • ¸@ /_  „    s 1 l x s  „  ^ ‰

 

& ñ ? /_  „   _  s 1 l x`  ¦ t C  >  ÷ &“ ¦, s – Ð “  K  “ : r • ¸

 7 £ x ½ + Éà º2 Ÿ ¤ H o # Q 0 l x • ¸ 7 £ x    H — ¸_ þ v`  ¦ ˜ Ðs > 

 )

a   [16].   " f ‘ : r  7 Hë  H _  “ : r • ¸   o\    É r „    0 l x • ¸ _

    o   õ – РÒ'    & ñ w n  > €  \  ” > r F    H „  0 A\  _ 

# Œ „  l & h  : £ ¤$ í s   H % ò † ¾ Ó`  ¦ ~ à Î6 £ §`  ¦ S X ‰ “  ½ + É Ã º e ” % 3  .

s

 Qô  Ç   & ñ w n  > €  `  ¦ t   H  â Ä º_  „  l „  • ¸ ‰ & ³ © œ`  ¦ 7

á

§  8 ½ ¨^ ‰& h Ü ¼– Ð l Õ ü t l  0 AK  Fig. 4\ " f   & ñ w n  > 

€

 \ " f µ 1 ÏÒ q t   H Ÿ íJ $ ™[ >   © œ# 4 õ  › ' aº   ) a \  -t   ½ ™× ¼\  ¦



 ? /% 3  . s  Qô  Ç — ¸d ” • ¸  H „  0 Ax 9 • ¸ „  l & h  $ í | 9  _

    o\  p u   H % ò † ¾ Ó`  ¦ s K    H X < Ä »´ ò  . Shalish 1

p

x“ É r   & ñ w n  > €  “ É r f ” ] X & h Ü ¼– Ð „   \  ¦ 5 Å q ~ Ã Ì    Ÿ í S \

‰ ½ + É Ã º e ” Ü ¼ 9, ¢ ¸ô  Ç  ½ ™× ¼ Ï ã L6 £ § (band bending)`  ¦ : Ÿ x K 

„

   s 1 l x`  ¦ ~ ½ ÓK    H Ÿ íJ $ ™[ >   © œ# 4  (potential barrier)`  ¦ ë

ß –[ þ t # Q  · p “ ¦ % i   [10,17]. s  Qô  Ç „  0 A  © œ# 4 “ É r „    _

 s 1 l x`  ¦ ~ ½ ÓK   9 : £ ¤ y  „  0 A x 9 • ¸ Z  }`  ¦ à º2 Ÿ ¤ „  l & h  :

£ ¤$ í \   H % ò † ¾ Ó`  ¦ Šҍ  H  ) a  “ ¦ ½ + É Ã º e ”  . s  Qô  Ç Ÿ íJ $ ™ [ >

  © œ# 4  — ¸4 S q`  ¦  6   x # Œ ‘ : r z  ´+ « >_   â Ä ºü < ° ú  s  — ¸ s  ß

¼ o ”  ' Ÿ  ) a r « Ñ_   â Ä º\   H Z  }“ É r „    0 l x • ¸ü < ± ú “ É r q

$ † ½ Ó\ • ¸ Ô  ¦ ½ ¨ “ ¦ ± ú “ É r s 1 l x • ¸\  ¦ ° ú >   ) a    H  כ `  ¦ [ O

" î % i  .

IV. + s Ç Â ] Ø

Al

2

O

3

(0001) l ó ø Í 0 A\  $ í  © œô  Ç Ê ê} Œ • GaN ~ à Ì} Œ •_  ½ ¨

›

¸& h  : £ ¤$ í õ  „  l & h  : £ ¤$ í \  @ /K  › ¸  % i  . Ê ê} Œ • GaN

(5)

_

 — ¸ s ß ¼ o\  _ K  µ 1 ÏÒ q t   H   & ñ w n  > €  _  „  0 A © œ

#

4 s  „  l & h  : £ ¤$ í \  ´ ú §“ É r % ò † ¾ Ó`  ¦ Šҍ  H  כ `  ¦ · ú ˜ à º e ” % 3 



. 7 £ ¤, ‘ : r z  ´+ « >õ  ° ú  s  Z  }“ É r „    0 l x • ¸ü < ± ú “ É r q $ † ½ Ó\ 

•

¸ Ô  ¦ ½ ¨ “ ¦ ± ú “ É r „  l  s 1 l x • ¸\  ¦ ° ú   H  â Ä º,   & ñ w n    s

_  „  0 A  © œ# 4 \  _ K " f „   _  s 1 l x s  ] jô  Ç| ¨ c à º e ”  



 H  כ `  ¦ · ú ˜ à º e ” % 3  .

Y

c p w Š à U Ø ”  ô

[1] F. Yun, M. A. Reshchikov, K. Jones, P. Visconti, H.

Morkoc, S. S. Park and K. Y. Lee, Solid State Elec.

44, 2225 (2000).

[2] W. S. Wong, T. Sands and N. W. Cheung, Appl.

Phys. Lett. 72, 599 (1998).

[3] W. S. Wong, T. Sands, N. W. Cheung, M. Kneissl, D. P. Bour, P. Mei, L. T. Romano and N. M. John- son, Appl. Phys. Lett. 75, 1360 (1999).

[4] K. Hiramatus, T. Detchprohm and I. Akasaki, Jpn.

J. Appl. Phys. 32, 1528 (1993).

[5] J. Y. Yi, K. H. Kim, H. J. Lee, M. Yang, H. S. Ahn, J. H. Chang, H. S. Kim and S. N. Yi, SAEMULLI 48, 555 (2004).

[6] T. Kozawa, T. Kaci, H. Kano, H. Nagase, N. Koide and K. Manabe, J. Appl. Phys. 75, 1098 (1994).

[7] Q. Zhu and A. Botchkarev, Appl. Phys. Lett. 68, 1141 (1996).

[8] B. Heying, X. H. Wu, S. Keller, Y. Li, D. Kapolnek, B. P. Keller, S. P. DenBaars, and J. S. Speck, Appl.

Phys. Lett. 68, 643 (1996).

[9] J. C. Zhang, D. G. Zhao, J. F. Wang, Y. T. Wang, J. Chen, J. P. Liu and H. Yang, J. Crystal Growth 268, 24 (2004).

[10] I. Shalish, L. Kronik, G. Segal and Y. Shapira, Phys.

Rev. B 61, 23 (2003).

[11] M. Fehrer, S. Einfeldt, U. Birkle, T. Gollnik and D.

Hommel, J. Crystal Growth 189, 763 (1998).

[12] S. l. Kim, C. S. Son, M. S. Lee, Y. Kim, M. S. Kim and S. K. Min, Solid State Comunications 93, 939 (1995).

[13] M. Sakai, H. Ishikawa, T. Egawa, T. Jimbo, M.

Umeno, T. Shibata, K. Asai, S. Sumiya, Y. Kuraoka, M. Tanaka and O. Oda, J. Crystal Growth 244, 6 (2002).

[14] David C. Look, Electrical Charcterazation of GaAs Materials and Devices (John Wiley & Sons, USA, 1989), p. 74.

[15] W. Gotz, L. T. Romano, J. Walker and N. M. John- son, Appl. Phys. Lett. 72, 1214 (1996).

[16] R. J. Molnar, T. Lei and T. D. Moustakas, Appl.

Phys. Lett. 62, 72 (1993).

[17] S. D. Herzee, J. C. Ramer and K. J. Malloy, Mater.

Res. Bull. 22, 45 (1997).

(6)

Effect of Structural Defect on the Electrical Properties of Thick GaN Films

S. H. Park,

M. N. Jung, J. Y. Yi, M. Yang, H. S. Kim and J. H. Chang Major of Semiconductor Physics, Korea Maritime University, Busan 606-791

D. C. Oh and J. J. Kim

Institute for Materials Research, Tohoku University, Japan 980-8577 (Received 16 January 2006)

GaN thick films ( ∼ 250 m) were grown on (0001) sapphire substrates with a thin AlN buffer layer ( ∼ 80 nm). The thick films were deposited by using metalorganic hydride vapor phase epitaxy (MO-HVPE). The structural and the electrical properties were investigated using high-resolution X-ray diffractometer (HRXRD) and temperature-dependent Hall effect measurements. The high- density dislocations concentrated on the grain boundaries were found to have a strong influence on the carrier transport mechanism in the layer.

PACS numbers: 71.23.-k

Keywords: GaN, HRXRD, Hall effect measurement, Potential barrier model

E-mail: sh˙[email protected]

수치

Fig. 1. (0002) 2θ − ω scan. The inset shows same result in logarithmic scale. (b) (0002) and (10-11) ω scans
Fig. 2. Temperature dependence of carrier mobility.
Fig. 3. Variation of the carrier concentration in GaN thick film. “:r \ &#34; f H T −3/2 \  q Y VK   
 t ëß –, 206 K s 
 \ &#34; fH T 1/20 , 206 K s © œ\ &#34; f H T −1/20 \  q Y V
 “ ¦ e”  

참조

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