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Co - 木村研究室
1
2014/09/22 䜾䝹䞊䝥䝉䝭䝘䞊
ྡྂᒇ኱Ꮫ 㧗ᔱ䞉ఀ⸨◊✲ᐊ
M1 Ἑෆ❶࿃
⫼ᬒ
2
•⇕
⇕㟁ኚ᥮ᮦᩱ䛸䛿䞉䞉䞉
ᅛయ䛻 ᗘᕪ䜢୚䛘䜛䛣䛸䛷㉳㟁ຊ䛜⏕
䛨䜛䝊䞊䝧䝑䜽ຠᯝ䜢฼⏝䛧䚸⇕䜶䝛䝹䜼䞊
䛸㟁Ẽ䜶䝛䝹䜼䞊䜢஫䛔䛻ኚ᥮䛩䜛ᮦᩱ䚹
䞉⇕㟁ᛶ⬟ᣦᩘ
ᅗ䚸⇕㟁ኚ᥮䝰䝆䝳䞊䝹
(http://www.logsoku.com/r/poverty/1380207867/)
⇕㟁ᮦᩱ䛻䛚䛡䜛⇕㟁ኚ᥮ຠ⋡䛾ᣦᶆ䛸䛧䛶䚸୍⯡ⓗ䛻ᛶ⬟ᣦ
ᩘ Z [1/K] 䛜⏝䛔䜙䜜䜛䚹
ܵʹߪ
ܼൌ
ߢ
S䠖༢఩ ᗘᕪ䛒䛯䜚Ⓨ⏕䛩䜛⇕㉳㟁ຊ(䝊䞊䝧䝑䜽ಀᩘ)[V/K]
σ䠖㟁Ẽఏᑟ⋡[1/(Ω䞉m)]
κ䠖⇕ఏᑟ⋡[W/(m䞉K)]
䞉Ⰻ
Ⰻ䛔⇕㟁ᮦᩱ
э኱䛝䛺Z 䜢ᣢ䛴ᮦᩱ
э኱䛝䛺⇕㉳㟁ຊ䛸㟁Ẽఏᑟ⋡䚸ᑠ䛥䛔⇕ఏᑟ⋡䜢ᣢ䛴ᮦᩱ
⫼ᬒ
3
㟁Ẽఏᑟ⋡䚸⇕㉳㟁ຊ䚸⇕ఏᑟ⋡䛿䜻䝱䝸䜰⃰ᗘ䛾㛵ᩘ䛷䛒䜛䚹
ܵʹߪ
䜻䝱䝸䜰⃰ᗘ䛜ῶᑡ䛩䜛䛸䞉䞉䞉
ܼൌ
ߢ
㟁Ẽఏᑟ⋡σ䛸⇕ఏᑟ⋡κ䛿ῶᑡ䛩䜛䛜䚸⇕㉳㟁ຊS䛿ቑຍ䛩䜛䚹
э1019 cm−3⛬ᗘ䛾䜻䝱䝸䜰⃰ᗘ䛷᭱኱䛾⇕㟁ᛶ⬟ᣦᩘZ䛜ᚓ䜙䜜䜛䚹
Bi2Te3䚸SiGe䚸PbTe䛺䛹䛾䝗䞊䝥༙ᑟయ䛾ᛶ⬟䛿䜻䝱䝸䜰⃰ᗘ䛾ほⅬ䛛䜙ホ౯䛥䜜䜛䚹
[1] G. Mahan et al.,
Phys. Today 50
(1997)
ᅗ ρ䚸S䚸κ䚸Z䛾䜻䝱䝸䜰⃰ᗘ౫Ꮡᛶ
⫼ᬒ
4
•ᒙ
ᒙ≧䝁䝞䝹䝖㓟໬≀NaCoO2
ᐊ 䛷㟁Ẽ᢬ᢠ䛜200 μΩ cm௨ୗ䛷
䛒䜛䛻䜒㛵䜟䜙䛪䚸⇕㉳㟁ຊ䛿80 μV/K
䜢㉸䛘䜛䚹
㧗䛔⇕㉳㟁ຊ䛸㔠ᒓఏᑟᛶ䜢᭷䛩䜛䚹
㧗 Ᏻᐃᛶ䜢ᣢ䛴䚹
[2] I. Terasaki et al., Phys. Rev. B56 (1997)
•Ca3Co4O9䚸Bi2Sr3Co2O9䚸Tl0.4(Sr0.9O)1.12CoO2
NaCoO2䛸ྠ䛨䜘䛖䛻CoO2୕ゅ᱁
Ꮚᒙ䜢ᣢ䛱䚸኱䛝䛺⇕㉳㟁ຊ䛸㔠
ᒓఏᑟᛶ䜢᭷䛩䜛䚹
Ca3Co4O9䛿⇕ఏᑟ⋡䛜ప䛟䚸ᛶ⬟
ᣦᩘ䛿973 K䛷ZT = 0.87䜢㉸䛘䜛
[9] Y. Miyazaki et al., J. Phys. Soc. Jpn. 71 (2002)
⫼ᬒ
5
ᒙ≧䝁䝞䝹䝖㓟໬≀䛻䛚䛔䛶䚸኱䛝䛺⇕㉳㟁ຊ䛻䛴䛺䛜䜛≀⌮ⓗᶵᵓ䛜ㄽⅬ䚹
ᘧ䚸Co㓟໬≀䛾⇕㉳㟁ຊ
z㐣
㐣ཤ䛾◊✲
䠍䚸ᒙ≧䝁䝞䝹䝖㓟໬≀䛜♧䛩኱䛝䛺⇕㉳㟁ຊ
䞉Co3䠇/Co4䠇䛾ඹᏑ
g3䠈g4 : Co3+䠈Co4+ 䛾㓄⨨ᩘ
x : Co4+䛾⃰ᗘ
䞉Co 3d㌶㐨䛜ᣢ䛴䝇䝢䞁ከ㔜ᗘ䛻䜘䜛䜶䞁䝖䝻䝢䞊
↓
[10] W. Koshibae et al.,
㈇䛾 ᗘಀᩘ䜢䜒䛴㔠ᒓ㟁Ꮚఏᑟᛶ䜢ㄝ᫂䛷䛝䛶䛔䛺䛔䚹 Phys. Rev. B 62 (2000)
䠎䚸ᒙ≧䝁䝞䝹䝖㓟໬≀䛻䛴䛔䛶㧗ศゎ⬟ARPES䛻䜘䛳
䛶䝁䝠䞊䝺䞁䝖–䜲䞁䝁䝠䞊䝺䞁䝖㑄⛣䛜ほᐹ䛥䜜䜛䚹
ᙉ㟁Ꮚ┦㛵䛻䜘䜚σ䜔S䛺䛹䛾㟁Ꮚ㍺㏦≉ᛶ䛿ᙳ㡪䜢ཷ
䛡䜛䚹
э䝣䜵䝹䝭䝺䝧䝹(EF)㏆ഐ䛾ග㟁Ꮚ䝇䝨䜽䝖䝹䜢⏝䛔䛶
㟁Ꮚ㍺㏦≉ᛶ䜢㆟ㄽ䛩䜛䚹
ᅗ䚸NaCo2O4䛾ARPES
[11] T. Valla, D.P. Jhonson et
al., Nature 417 (2002)
◊✲┠ⓗ
‹Ca3Co4O9䛾㟁Ꮚᵓ㐀䜢ග㟁Ꮚศග䛸㌾X⥺Ⓨග䛚䜘䜃
྾཰ศග䜢౑䛳䛶ㄪᰝ䚹
э㟁Ꮚ㍺㏦≉ᛶσ䜔S䜢EF㏆ഐ䛻䛚䛡䜛㟁Ꮚᵓ㐀䛾ほⅬ
䛛䜙㆟ㄽ䚹
‹ ᐃ䝇䝨䜽䝖䝹䛛䜙S(T)䜢ィ⟬䚹
эᒙ≧䝁䝞䝹䝖㓟໬≀䛻䛚䛡䜛኱䛝䛺⇕㉳㟁ຊ䛾ཎᅉ䜢
㆟ㄽ䚹
6
ᐇ㦂᮲௳
7
ヨᩱ䠖 䝣䝷䝑䜽䝇ἲ䛻䜘䜚స〇䛧䛯Ca3Co4O9༢⤖ᬗ
RPES ᐃ
䞉ሙᡤ䠖 SPring-8䛾BL25SU
䞉ධᑕග䜶䝛䝹䜼䞊䠖 hν = 775–780 eV
䞉䜶䝛䝹䜼䞊ศゎ⬟䠖 120 meV
䞉䜰䝘䝷䜲䝄䞊䠖 Gammadata-Sicenta SES2002
UPS ᐃ
䞉ሙᡤ䠖 ᮾி኱Ꮫ䛾ISSP
䞉䜶䝛䝹䜼䞊ศゎ⬟䠖 10 meV
䞉䜰䝘䝷䜲䝄䞊䠖 Gammadata-Sicenta SES2002
䞉Ύί⾲㠃䠖 10−11 Torr ୗ䛷๼㛤
XAS ᐃ
䞉ሙᡤ䠖 Photon Factory KEK䛾BL19B
䞉䜰䝘䝷䜲䝄䞊䠖 Shimadzu EPMA1400
ᐇ㦂⤖ᯝ
hν = 778.3 eV at 20 K
8
hν = 771 eV at 20K
A䠖1.0 eV
B䠖2.9 eV
C䠖3.5 eV
D䠖5.0 eV
E䠖 6.2 eV
hν = 778.3 eV at 20 K
at room temperature
(a)Co 2p–3d RPES䝇䝨䜽䝖䝹
(b)XPS䝇䝨䜽䝖䝹
(c)Co 2p–3d ྾཰䝇䝨䜽䝖䝹
(d)Co 2p–3d䛾Ⓨග䝇䝨䜽䝖䝹
zCo 2p–3dඹ㬆䚹
эD௨እ䛾䝞䞁䝗䛜᫂☜䛻䛺䜛䚹
zCa3Co4O9䛾౯㟁Ꮚᖏ䛿Co 3d
䛸O 2p䛷ᵓᡂ䚹Co 3d䛾せ⣲䜢
ᣢ䛴䝞䞁䝗䛿Co 2p–3dඹ㬆䛷ᙉ
䜑䜙䜜䜛䚹
↓
Co 2p–3dඹ㬆䛷ᾘ䛘䛯D䛿O 2p
䝞䞁䝗
zXPS䝇䝨䜽䝖䝹୰䛾㗦䛔A䛸䚸
RPES䛚䜘䜃SXES䝇䝨䜽䝖䝹୰䛾
ᑠ䛥䛺A䛿䚸1.0 eV䛷䛾䝞䞁䝗䛜
Co 3d䛰䛡䛷䛺䛟O 2pᡂศ䜒ከ䛟
ྵ䜐䛣䛸䜢♧䛩䚹
ᐇ㦂⤖ᯝ
9
•EF䛿1.0 eV䜢୰ᚰ䛸䛩䜛⊃䛔䝞䞁䝗䛾㧗䜶䝛䝹䜼䞊➃䛻఩⨨䛩䜛䚹
•EF䛻䛚䛡䜛≧ែᐦᗘ(N(EF))䛿䛛䛺䜚ᑠ䛥䛔䛜᭷㝈䛷䛒䜛䚹
•200K௨ୖ䛾㧗 䛻䛚䛡䜛Ca3Co4O9䛾㟁Ẽ᢬ᢠ⋡䛿ṇ䛾 ᗘಀ
ᩘ䜢ᣢ䛴䚹(඾ᆺⓗ䛺㔠ᒓⓗᣲື)
я100K௨ୗ䜎䛷 ᗘ䛜పୗ䛩䜛䛸䛸䜒䛻㟁Ẽ᢬ᢠ⋡䛿኱ᖜ䛻ቑ
ຍ䛩䜛
ᐇ㦂⤖ᯝ
10
ධᑕ䜶䝛䝹䜼䞊hν = 778.3 eV
ᅗ2䚸(a) XPS䝇䝨䜽䝖䝹
(b) EF㏆ഐ䛾UPS䝇䝨䜽䝖䝹
50 K௨ୖ䛷䚸 N(EF)䛜᭷㝈䛻ಖ䛯䜜䛶䛚䜚䚸㔠ᒓ≧ែ䜢♧䛧䛶䛔䜛䚹
N(EF)䛜 ᗘ䛾పୗ䛸䛸䜒䛻ῶᑡ䚹
20 K䛻䛚䛔䛶䜋䛸䜣䛹ᙉᗘ䛜䛺䛔䚹
ᐇ㦂⤖ᯝ
[4] A.C. Masset et al., Phys. Rev. B 62 (2000)
11
[6] R. Funahashi et al., Mat. Trans. 42 (2001)
50 K௨ୗ䛷䛾 ᗘ䛾పୗ䛻క䛖㟁Ẽ᢬ᢠ⋡䛸䝩䞊䝹ಀᩘ䛾ቑຍ
эEF䜢ᶓษ䜛䜶䝛䝹䜼䞊䜼䝱䝑䝥䛾Ⓨ⌧䛻䜘䜛ఏᑟ㟁Ꮚ䛾ᩘ䛾ῶᑡ
50 K௨ୗ䛷䛾㟁Ẽ᢬ᢠ⋡䛾 ᗘ౫Ꮡᛶ䜢⌮ゎ䛩䜛䛯䜑䛻䚸
䜶䝛䝹䜼䞊䜼䝱䝑䝥䛾 ᗘ౫Ꮡᛶ䜢᫂䜙䛛䛻䛩䜛䛯䜑䛾䛥䜙䛺䜛ᐃ㔞ศᯒ䛜ᚲせ䚹
ᐇ㦂⤖ᯝ
EF䜢ᶓษ䜛䜶䝛䝹䜼䞊䜼䝱䝑䝥Ⓨ⌧䛾⌮⏤䛿᫂䜙䛛䛷䛿䛺䛔䚹
•䜼䝱䝑䝥Ⓨ⏕ᶵᵓ䛻ᑐ䛩䜛2䛴䛾⪃䛘
‡100 K௨ୗ䛷䛾䝇䝢䞁ᐦᗘἼ(SDW)䛾Ⓨ⌧䚹
э䝣䜵䝹䝭㠃䛾䝛䝇䝔䜱䞁䜾䛻䜘䜚䜼䝱䝑䝥Ⓨ⏕?
‡㟁Ꮚ┦㛵䛻䜘䜛䜒䛾
ᙉ䛔㟁Ꮚ┦㛵䜢ᣢ䛴୕ゅ᱁Ꮚ䛜䝣䜵䝹䝭㠃䛾䝛䝇䝔䜱䞁䜾
䛺䛧䛷䝇䝢䞁ᐦᗘἼ䛸䜼䝱䝑䝥䜢Ⓨ⌧䛩䜛ྍ⬟ᛶ䚹
䛧䛛䛧䚸䝁䝠䞊䝺䞁䝖–䜲䞁䝁䝠䞊䝺䞁䝖㑄⛣䛿㧗ศゎ⬟UPS
ᐃ䛻䛚䛔䛶ほᐹ䛥䜜䛺䛛䛳䛯䚹
э䝣䜵䝹䝭㠃䛾䝛䝇䝔䜱䞁䜾䛜Ca3Co4O9䛻䛚䛡䜛
䜼䝱䝑䝥Ⓨ⌧䛾ཎᅉ
12
⪃ᐹ
13
„䝪䝹䝒䝬䞁㍺㏦᪉⛬ᘧ䛻ᇶ䛵䛔䛶ᑟฟ䛥䜜䛯䚸㔠ᒓ⣔䛻䛚䛡䜛⇕㉳㟁ຊS(T)
∂f(ε)/∂ε䛿μ䜢୰ᚰ䛸䛩䜛ᖜᩘkBT䛾䜶䝛䝹䜼䞊
⠊ᅖ䛻䛚䛔䛶䛾䜏᭷㝈䛾್䜢ᣢ䛴
σ(ε)䠖㟁Ẽఏᑟ⋡䜈䛾㟁Ꮚ䛾ᐤ୚
f(ε)䠖䝣䜵䝹䝭–䝕䜱䝷䝑䜽ศᕸ㛵ᩘ
μ䠖໬Ꮫ䝫䝔䞁䝅䝱䝹
„➼᪉ᛶ䛾⣔䛻䛚䛡䜛σ(ε)
ᘧ(1)䛾✚ศ䛷⪃៖䛥䜜䛯䜶䝛䝹䜼䞊⠊ᅖ
э∂f(ε)/∂ε䛜᭷㝈್䜢ᣢ䛴䜶䝛䝹䜼䞊⠊ᅖ䛾䛯䜑㠀ᖖ䛻⊃䛔
э䜶䝛䝹䜼䞊౫Ꮡ䛧䛺䛔⩌㏿ᗘ䛚䜘䜃⦆࿴᫬㛫䜢௬ᐃ
⪃ᐹ
A(ε)䠖㠃✚
v(ε)䠖⩌㏿ᗘ
τ(ε)䠖⦆࿴᫬㛫
N(ε)䠖≧ែᐦᗘ
14
„ᘧ(1)䜢ኚᙧ
zS(T)䜢᥎ᐃ䛩䜛䛯䜑䛻䚸ᘧ(3)୰䛾N(ε)䛾௦
䜟䜚䛻UPS䝇䝨䜽䝖䝹䜢౑⏝䚹
zEF䛾䛩䛠ୖ䛾ఏᑟᖏ䛻䛴䛔䛶䛾᝟ሗ䜢ᚓ
䜛䛯䜑䛻䚸fRT(ε)䛷๭䛳䛯ᐊ USP䝇䝨䜽䝖䝹
䜢౑⏝䚹
zS(T)䛾ィ⟬䛷౑⏝䛩䜛୕䛴䛾䝰䝕䝹䜢ᵓ⠏䚹
ᅗ3䚸ᐊ 䛷 ᐃ䛥䜜䛯Ca3Co4O9䛾UPS䝇䝨䜽䝖䝹䛸
䝣䜵䝹䝭–䝕䜱䝷䝑䜽ศᕸ㛵ᩘ䛷๭䛳䛯䜒䛾(UPS/FD).
⪃ᐹ
15
[4] A.C. Masset, et al.,
Phys. Rev. B 62 (2000)
[8] M. Shikano, et al.,
Phys. Lett. 82 (2003)
zᐇ㦂್䛸ྠ䛨䜘䛖䛻䝅䝭䝳䝺䞊䝅䝵䞁䛻䛚䛔䛶䜒
S(T)䛜ṇ䛾 ᗘ౫Ꮡᛶ䜢ᣢ䛴䚹
z ᐃ䛥䜜䛯S(T)䛸ィ⟬䛥䜜䛯S(T)䛾㐪䛔
э䜶䝛䝹䜼䞊౫Ꮡ䛧䛺䛔⩌㏿ᗘ䛸⦆࿴᫬㛫䛾௬ᐃ
ᅗ4䚸UPS䝇䝨䜽䝖䝹䛛䜙ィ⟬䛥䜜䛯
S(T)䛸㐣ཤ䛾◊✲䛻䜘䜛S(T).
Ca3Co4O9䛻㛵䛧䛶ほ 䛥䜜䛯኱䛝䛺䝊䞊䝧䝑䜽ಀᩘ
⊃䛔䝞䞁䝗ᖜ䛸䛭䛾䝞䞁䝗➃௜㏆䛾EF䛻䜘䛳䛶≉ᚩ䛵䛡䜙䜜䜛㟁Ꮚᵓ㐀䛜
㛵ಀ
䜎䛸䜑
16
zCa3Co4O9䛻䛚䛡䜛౯㟁Ꮚᖏ䛾㟁Ꮚᵓ㐀䛜䚸RPES ᐃ䛸
UPS ᐃ䜢⤌䜏ྜ䜟䛫䜛䛣䛸䛻䜘䛳䛶Ỵᐃ䛥䜜䛯䚹
zEF㏆ഐ䛾㟁Ꮚᵓ㐀䛾≉ᚩ
䞉2 eV䜘䜚ᑠ䛥䛔ᖜ䛾⊃䛔䝞䞁䝗
䞉⊃䛔䝞䞁䝗䛾㧗䜶䝛䝹䜼䞊➃௜㏆䛻䛒䜛EF
zUPS䝇䝨䜽䝖䝹䛛䜙ィ⟬䛥䜜䛯S(T)䛻䜘䛳䛶Ca3Co4O9䛾㟁
Ꮚᵓ㐀䛸㔠ᒓⓗ㟁Ꮚ㍺㏦䛜䚸኱䛝䛺⇕㉳㟁ຊ䛸ప䛔㟁Ẽ
᢬ᢠ⋡䛾୧❧䛻㛵ಀ䛩䜛䛣䛸䛜䜟䛛䛳䛯䚹
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