SmBa
2Cu
3O
y8 ý ¾ ¹ Åy ¢ ¤V R ËV ê s ¤; c 6 X ¢ Sm
3+V ê s V R Ë T Æ X Ø8 ý ÇÊ Ý
T
+Ö<Ú · -> )o · Dawood Ahmad · »ZÌ x · z@B · »*åx∗
Â
Òíß@/<Ƨ Óüto<Æõ, ÂÒíß 609-735 (2008¸ 8Z4 25{9 ~ÃÎ6£§)
¦:r í¸^ SmBa2Cu3Oy\"f gË>ÈÒU·s (λ) , çß[O$í U´s (ξ), ÂÒ e>l©õ °ú Ér í¸
\ P
%i<Æ&h :£¤$í©Ãº[þt\ @/ôÇ Sm3+s:r_ ´òõ\¦ ½¨ %i. Hao-Clem¸4Sqõ Bulaevskii-Ledvij- Kogan (BLK) ¸4SqÐ ÂÒ' κ=53.7, λab(0)=69.4 nm, Hc1(0)= 988.1 Oe _ %ò%i\ eH כ `¦ ·ú¤
. z´+«>õü< © ¸ú ´úH BCS dirty-limit s:rܼРÂÒ' >íß)a Hc2(0)°úכÉr 119.40 ± 6.9T %iܼ 9 ξab(0) H 16.6 ± 0.5 ˚A%iHX< sכ Ér Y1Ba2Cu3Oy_ °úכõ q5pw %i. sכ ܼРÂÒ' Sm3+s:r Ü
¼Ð sÀÒ#Q ©$í[þtÉr λab_ yè\H l# %itëß ξab\H _ o \O%36£§`¦ SX %i
.
PACS numbers: 74.72.Jt
Keywords: SmBa2Cu3Oy, Sm3+´òõ, í¸ ©Ãº
I. "e Â]Ø
BÐÀÓ í¸^ RBa2Cu3Oy (R-123, R : BÐÀÓ "é¶
è)H "é¶½¨¸ü< e>:r¸ (Tc) YBa2Cu3Oy(Y-123) ü
< q5pwôÇכ ܼР·ú94R e [1,2]. ¸Ï?@1lxîß BÐÀÓ í
¸^Ð Y-123 \¦ @/^ l 0AK R-123 _ ~ÃÌ}s ´ú§s
½¨÷&%3HX< [3,4] :£¤y D¥½+Ë BÐÀÓ í¸ ~ÃÌ} (Nd, Eu, Gd) Ba2Cu3Oy [5]\ @/ôÇ ½¨\¦ :xK &ñ§>=÷&t ·ú§
É
r (mismatch) éß0A[jí\ lôÇ ÂÒ&h pinning B
m7£§s Bĺ Z}Ér e>ÀÓx9¸\¦ 0px > ôÇ °úכs
Ц)a e [5].
R-123 _ âĺ Tc s \"f í¸$íõ ©$íÉr /BN
>
rôÇ. Y-123 _ ©$íH"é¶ ©`¦ sÀÒt ·ú§Ér Cu2+
\
_ôÇ ©$íÉr Bĺ tëß, 4f C¸\ eH R3+_
©
`¦ sÀÒt ·ú§Ér s:rÉr ` y© > R-123 \
"
f ©$í ñ_ ÅÒכ¹ôÇ ÂÒìrÉr R3+ s:r\"f èß
[6]. "f R-123 \"f &hܼР%3#QtH e± &hÉr R-123_ ©$í ñ R3+s:r_ ×þõ &ñ© s _
© ñ6 x\ _K ¸]X|¨c ú eH כ s. í¸$í
\
@/ôÇ R3+s:r_ ´òõH 7£x)a ²DGè© (local field)\ _
K Tc \¦ ]jü@ôÇ gË>ÈÒU·s (λ), çß[O$í U´s (ξ)ü< °ú
É
r í¸ :£¤$í©Ãº\ %ò¾Ó`¦ z}9כ ܼР#.
:
rëH\"fH R-123 í¸ ×æ\ SmBa2Cu3Oy \¦ ½+Ë$í
# \;¤r 5Åq\"f &ñ§>=r& Hao-Clem ¸4Sq [7]õ BLK
∗E-mail: [email protected]
¸4Sq [8]`¦ s6 x # í¸ :£¤$í©Ãº\¦ ½¨ %i. sכ Ü
¼Ð ÂÒ' í¸ :£¤$í©Ãº\ @/K Sm3+\ puH ´òõ
\
¦ 7H_ %i.
II. ÷mÇ]Mö Uês0nÉ
:
r½¨\ 6 xôÇ SmBa2Cu3OyH ³ðïr¦©ìøÍ6£xZOܼ
Ð ½+Ë$í %i. Sm2O3, BaO2, CuOìr´ú_ ílÓüt|9`¦
¸ ú
[OÉr 6£§ pelletܼР$í+þA # 940◦C\"f 48rçß1lx î
ß
èôÇ Êê r ìr´úÐ °ú 300 kgf/cm2_ ·ú§4
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"f $í+þA %i. Õªo¦ s ìr´ú`¦ 940◦C\"f 24rçß 1
l
xîß 475◦C\"f 10rçß1lxîß íßè\¦ fË9ÅÒ"f \P%o
%i. sXO> ½+Ë$íôÇ r«Ñ\¦ &ñ§>=rvl 0A # é#Q o
r«Ñ\¦ ¸ú°ú ìr´úr«ÑÐ ëßHÊê 45 µm seiveÐ 5g
"
f sכ `¦ ©\O6 x \;¤rü< ¸ú [O#Q ©:r\"f 5T_ l
© \"f 5rçß1lxîß c»¡¤~½Ó¾ÓܼР&ñ§>=r(. ÃЦ
Ð z´:r\"f SmBa2Cu3OyH c»¡¤õ ab ~½Ó¾Ó\ @/ôÇ ½¨
¸&h s~½Ó$íܼР# y ~½Ó¾Ó\ Ér l ¸F'p à
Ô\¦ °úl M:ëH\ &ñ§>=s 0px . ¦l© \"f ìr
´ ú
_ &ñ§>=)a &ñ¸\¦ ·úÐl 0AK X- r]XÁº](\¦ ¸
K ФHX< sM: s6 x)a targetÉr Cu_ Kα `¦ 6
x %i. s X ©u_ âĺ scaning 5Åq¸H 4◦/ìr s
¦ 5Åq·úÉr 30 kV, ÀÓH 10 mA Ð %iܼ 9 8£¤&ñ
# 3
0AH 10 ∼ 90◦s.
-402-
Fig. 1. (a) X-ray diffraction data for aligned grains of SmBa2Cu3Oy. (b) Zero field cooled (ZFC) and field cooled (FC) dc susceptibility versus temperature curves of the aligned SmBa2Cu3Ox measured under the mag- netic fields applied parallel to c axis (H||c) and ab plane (H||ab).
#
Qt :r¸ü< l© \"f í¸ ©IÐ_ s
:
r¸, o 1px`¦ %3l 0A # SQUID (Superconducting Quantum Interferece Device) §4>\¦ 6 x %i. 8£¤
&
ñ
:r¸H 5 K \"f 300 K ts¦ l©Ér 6.5 T t
%i. 8£¤&ñr r«Ñ\ KtH l©_ çH|9$í
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¦ 0.05 % s?/Ð l 0A # r«Ñ4x_ scan U´sH 2-3 cm Ð %i. ¢¸ôÇ l©`¦ l \ 8£¤&ñ½+É :r¸
\
¦ ±0.05 Ks Ð îß&ñr(. Õªo¦ y l©\"f l
©`¦ 7£xr Êê 10í Êê\ l ¸F'pàÔ\¦ 8£¤&ñ
#
Õª l©\"f l¸F'pàÔ_ /åL5ÅqôÇ creep s 0px
>
%i.
III. +sÇÊÝ õmÍ ÀXØ8ý
Fig. 1(a)H &ñ§>=)a SmBa2Cu3Oy_ &ñ§>=)a &ñ¸
\
¦ ·úÐl 0A # X- r]X z´+«>`¦ 'ôÇ õs.
SmBa2Cu3Oy_ (00l)\ @/6£x H ñëß Ù¼Ð s
z´+«>\ 6 x)a ìr´úr«Ñ c»¡¤ ~½Ó¾ÓܼР¸ú &ñ§>=÷&%3 6
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§`¦ ·ú ú e. l s~½Ó$í`¦ ·úÐl 0A # c»¡¤õ ab\ êøÍ > yy l©`¦ "f ìøÍ$í o
Fig. 2. (a) Magnetization curves of the aligned SmBa2Cu3Oy, measured in the temperature region of 10-300 K and under the fields of 1-6 T, with a step of 0.5 T. (b) Magnetic susceptibility versus C/(T − Θ) curves above Tc in the field of 1-6 T, where C and Θ are con- stants. Here, the unit of susceptibility is emu/(cm3 Oe).
Ö
¦ χ\¦ 8£¤&ñ %i. Fig. 1(b)H &ñ§>=)a SmBa2Cu3Oy_ c»¡¤õ ab\ ¨î' > 5 Oe_ l©`¦ Ùþ¡`¦ âĺ ZFCü< FC_ oÖ¦\ @/ôÇ ÕªaË>s. s ÕªaË>ܼÐÂÒ'
&
ñ
§>=)a í¸^_ c»¡¤\ ¨î' > (H||c) 8£¤&ñ)a o
H ab\ ¨î' > (H||ab) 8£¤&ñ)a o°úכÐ 2C&ñ
¸ ß¼> z`¦ ·ú ú e.
Fig. 2(a)H c»¡¤\ ¨î'ôÇ #Q l©\"f :r¸\
É
r o°úכ`¦ 8£¤&ñôÇכ s. Tc0A\"f ÷rëßm Tc A
_ :r¸\"f¸ y©ôÇ ©$í ñ\¦ ^¦ ú e. sQ ô
Ç 7áxÀÓ_ M(T)/BGÉr íl_ BÐÀÓ í¸^ ½¨\
"
f¸ Ц÷&#Q& [9]. T > Tc\"f :r¸\ Ér ©$í
`
¦ %3Ér Êê sכ `¦ s6 x # T < Tc\"f ©$í ñ\¦ ]
jôÇ Êê íHúôÇ í¸ ñ\¦ %3%3.
Fig. 2(b)\"f ÐH ü< °ú s T > Tc \"f :r¸\
É
r oÖ¦ (χ = M/H) `¦ 6£§õ °ú Ér dܼР?/%3
.
χ(T ) = χ0+ C
T − Θ (1)
#
l"f χ0 (=5.81 × 10−6 ±6.45 × 10−7 emu/cm3 Oe)
H Ùþd ìøÍ$í (core diamagnetic), Pauliü< Van Vleck
Fig. 3. Magnetization versus temperature curves after the paramagnetic signals are eliminated and Ms(T ) mea- sured in the fields of 1-6 T with a step of 0.5 T. The inset shows the crossover of the Ms(T ) curves near Tc.
l
# 1px_ ½+Ës¦, C (=1.16 × 10−3 ± 6.10 × 10−5 K emu/cm3 Oe) H Curie-Weiss ©Ãº, Θ (=-58.98 ± 11.16 K) H Curie-Weiss :r¸s. Curie-Weiss ZOgË:Ér Ér
BÐÀÓ í¸^\¸ ¸ú ´úH כ ܼР·ú94R e.
Fig. 3Ér íHÃºí¸ o Ms(T )(= M (T )−Mp(T ))_
:
r¸_>r$í`¦ ?/HX< Mp(T ) H e>:r¸ s©\"f _
©$í o°úכܼРd(1)ÐÂÒ' %3#Q&. Fig. 3_
¶ ú
{9)a ÕªaË>\"f ÐH ü< °ú s Ér l© \"f ¸
H z´+«>°úכ[þts 5g"f § H ôÇ &hs e. § &h\
"
f H Ms ü< T _ °úכ[þtÉr 4π M∗ ≈-0.35 G s
¦ T∗≈ 89.98 K s. sQôÇ 7áxÀÓ_ § H Tl ¢¸H Bi
í¸^ [10,11]ü< °ú Ér 2Dí¸^\"f Р̺§Â >
'
a8£¤÷&%3HX< sכ Ér BLKs:rܼР[O"î÷&#Q&. ¸o
HZO (harminic approximation)`¦ s6 x # Lawrence- Doniach ¸+þAܼÐÂÒ' D¥½+Ë©I_ Ä»\-t\¦ >íß
½ +
É Ãº e. >íß)a Ä»\-tH London ½Óõ pancake vortices _ כ¹1lx\ _ôÇ ½Ó_ ½+ËܼРsÀÒ#Q. Hcr≈ φ0/s2γ2 ¿ H ¿ Hc2 âĺ\ M Ér 6£§õ °ú s ÅÒ#Q
.
M (T, H) = − φ0
32π2λ2lnηHc2
eH +kBT
φ0s ln16πkBT κ2 αφ0sH√
e (2)
#
l"f φ0=2.0678 × 10−7 gauss cm2, e = 2.718, η =1.4 [7, 12, 13], γ2Ér l¸F'pàÔ_ q mc/mab, sH s _
os¦ αH 1 ∼ 10 s_ ©Ãºs. λH H||c\
"
f ab\ @/ôÇ gË>ÈÒU·s (λab). 'Í P: ½ÓÉr §êøÍ÷&
t
·ú§Ér line vortexÐ ÂÒ' Ä»¸)a כ s 9 ¿ºP: ½ÓÉr pancake vortices_ 0Au כ¹1lxܼРÂÒ' Ä»¸)a כ s.
§ &h (M∗, T∗)Ér ∂M/∂(ln H)=0ܼРÂÒ' ½¨½+É Ãº e
.
M∗(T∗) = −kBT φ0s ln ηα
√e (3)
#
l"f ln ηα/√
e H Tesanovic [14]\ _K 1Ð ¿º%3HX<
+
'\ Koshelev [15]\ _K 0.346ܼРú&ñ÷&%3. Y-123
¢
¸H Sm-123 ü< °ú Ér s~½Ó$í 3Dí¸^H BLKs:r\ _
Ä»\-t ~½Ó&ñd\ í<Ê)a ln(λJ/ξab)H Òqt|ÄÌ
÷
&#Q4R tëß, sכ õ 'a>\Os þj7áx&h d (3)_ +þA I
H t ·ú§H. ÕªQټРd (3)Ér Sm-123 \ &h6 x
|
¨
c ú e`¦ כ s. d (3)ܼÐÂÒ' ½¨ôÇ s_ °úכÉr 74.18
˚A s¦ sכ Ér "é¶½¨¸ [16]\"f %3#Q s=11.73 ˚A\ q
K s` ß¼. sQôÇ Ô¦{9u\¦ Щ l0A # 8
É
r Ä»´ò í¸ q\¦ ¦9½+É 9כ¹ e. 8Ér Ä»´ò
í¸q\¦ ½¨&³ l 0AK ¿º t\¦ ¦9½+É Ãº e.
H r«Ñ_ ß¼l\ 'a>÷&H o M_ »¡¤è\¦ ¦9
½ +
É Ãº e. :r ½¨\ 6 x)a r«ÑH 20 ∼ 30 µ m ß¼ l
_ &ñ§>=)a ìr´úX< sכ Ér Ér %il&h :£¤$í
½
¨\ s6 x)a éß&ñÐ s` . Ér ß¼l_ r«Ñ
H Hc_ 7£x [17]ü< gË>ÈÒU·s λ M:ëH\ M s t>
)
a. Ér ôÇ tH Sm3+s:r\ _ôÇ M _ ÆÒ&h
»
¡
¤ès. Óüt:r MsH Sm3+s:r\ _ôÇ ©$í ñ
]
j)a °úכs. ÕªQ Sm3+ s:rÉr Õª[þt s 2 ˚A
Ð ÂúªÉr ¿º CuO2 s\ Z~#e. sQôÇ ©S!\
"
f CuO2 \ K ²DGèl©Ér Sm3+ >rF t
· ú
§`¦ M: Ð ` y© # M _ ÂÒ&h »¡¤è Ô¦
x
. ÕªQټРs=11.73 ˚As ÷&¸2¤ 16 %_ í¸ Ö
¦`¦ ×þ 9 Meff(T )(= Ms/0.16)\¦ s6 x %i. &ñ§>=)a Sm-123 _ í¸ :£¤$í©Ãº\¦ ½¨ l 0A # Meff(T )\ Hao-Clem ¸+þA [7]`¦ &h6 x %i.
Hao-Clem s:r_ "é¶oH r'1lx<Êú\¦ 6 x #
H κ(= λ/ξ)_ ]j27áx í¸^\ @/ # D¥½+Ë©I_ Ginzburg-Landau Ä»\-t\¦ þjèo H כ s. s
¸+þAÉr l©s e`¦ M: \P%i<Æ&h כ¹1lx´òõÐ K κ(T ) q&ñ©&hܼР߼> 7£x H s ´òõ ¦9
÷
&t ·ú§¤tëß 7áx7áx ´ú§Ér ¦:r í¸^\ &h6 x÷&#Q
. κ ü< Hc_ :r¸_>r$í`¦ s ¸+þA`¦ s6 x # ½¨½+Éú e
. s ¸+þA_ [jôÇ [O"îÉr ÃЦ ëH³ [7]õ [13]\ Å
Ò#Q4R e. y :r¸\"f ÃЦëH³ [7]_ d20 õ d21
\
z´+«> °úכ`¦ @/{9 # q§<ÊܼÐ"f κ(T ) ü< Hc(T ) \¦
½
¨½+É Ãº e.
Fig. 4(a)H Hao-Clem ìr$3ܼРÂÒ' ½¨ôÇ κ(T )\¦ Ð
#
ïr. κ(T )H 84 K A\"f _ {9&ñôÇX<, #l"f Ginzberg-Landau ¨îçH©s:rs &h6 x)a. :r¸ 76 K