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コンプトン散乱によるスピン・電子運動量密度研究の将来像

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(1)

−75−

4-23

ࠦࡦࡊ࠻ࡦᢔੂߦࠃࠆࠬࡇࡦ࡮㔚ሶㆇേ㊂ኒᐲ⎇ⓥߩ዁᧪௝

Prospects for the Research of Spin and Electron Momentum Densities Studied by Compton Scattering Experiments

ࠬࡇࡦ࡮㔚ሶㆇേ㊂ኒᐲ⎇ⓥળ

Spin and Electron Momentum Densities Research Group

ዊᴰᤘਭ,

౓ᐶ⋵┙ᄢቇ

ᰞ੗ ᶈ,

⟲㚍ᄢቇ

Akihisa Koizumi, University of Hyogo Hiroshi Sakurai, Gunma University

ㆊ෰චᐕ㑆ߦ߅޿ߡޔࠦࡦࡊ࠻ࡦᢔੂߦࠃࠆࠬࡇࡦ࡮㔚ሶㆇേ㊂ኒᐲߩ᷹ቯ߅ࠃ߮⸃ᨆ ᛛⴚ߇㘧べ⊛ߦㅴᱠߒߚޕߎࠇߦࠃࠅޔ㔚ሶභ᦭゠㆏ߣࡈࠚ࡞ࡒ㕙ߩ⋥ធ⊛ឬ↹ᚻᴺ߇⏕ ┙ߒޔߐࠄߦޔઁߩᚻᴺߢߪᓧ㔍޿ಽሶಝ㓸♽ߩᾲജቇ⊛‛ᕈ㊂ߩዉ಴߇น⢻ߦߥߞߚޕ ߎߩࠃ߁ߥ⁁ᴫࠍ〯߹߃ޔSPring-8 ߦ߅޿ߡᦼᓙߐࠇࠆࠦࡦࡊ࠻ࡦᢔੂࠍ↪޿ߚࠬࡇࡦ࡮ 㔚ሶㆇേ㊂ኒᐲ⎇ⓥߩߎࠇ߆ࠄߩචᐕࠍዷᦸߔࠆޕ 㧝㧚 ߪߓ߼ߦ ࠦࡦࡊ࠻ࡦᢔੂታ㛎ߦࠃߞߡᓧࠄࠇࠆᖱႎߣޔߘߩታ㛎⊛․㐳ߦߟ޿ߡ⺑᣿ߒߡ߅߈ߚ ޿ޕࠦࡦࡊ࠻ࡦᢔੂታ㛎ߦࠃߞߡ᷹ቯߐࠇࠆࠦࡦࡊ࠻ࡦࡊࡠࡈࠔࠗ࡞(CP)ߪޔ㔚ሶߩㆇേ ㊂ኒᐲޔහߜޔㆇേ㊂⴫␜ߩᵄേ㑐ᢙࠍੑਸ਼ߒߚ߽ߩࠍޔᢔੂࡌࠢ࠻࡞ߦኻߒߡု⋥ߥ㕙 ߢੑ㊀Ⓧಽߒߚ㊂ߢ⴫ߐࠇࠆޕ⹜ᢱ߇ᒝ⏛ᕈ૕ߩ႐วߦߪޔ౉኿ X ✢ߣߒߡ౞஍శ X ✢ࠍ ↪޿ࠆߎߣߦࠃࠅޔ⏛ᕈ㔚ሶߩㆇേ㊂ኒᐲࠍ෻ᤋߒߚ⏛᳇ࠦࡦࡊ࠻ࡦࡊࡠࡈࠔࠗ࡞(MCP) ࠍ᷹ቯߔࠆߎߣ߽ߢ߈ࠆޕන⚿᥏⹜ᢱߦ߅޿ߡⶄᢙߩᣇะߢ᷹ቯࠍⴕߥ߃߫ޔᓧࠄࠇߚ CP ߿ MCP ߦኻߒߡౣ᭴ᚑ⸃ᨆࠍᣉߔߎߣߦࠃࠅޔੑᰴర޽ࠆ޿ߪਃᰴరߩㆇേ㊂ኒᐲಽᏓ ࠍ᳞߼ࠆߎߣ߇น⢻ߢ޽ࠆޕ ߹ߚޔ(⏛᳇)ࠦࡦࡊ࠻ࡦ᷹ቯߪޔታ㛎ⅣႺߦߟ޿ߡߩ೙⚂߇ዋߥ޿ߣ޿߁․㐳ࠍ᦭ߔࠆޕ ౕ૕⊛ߦߪޔ㧝㧕ૐ᷷߆ࠄ㜞᷷߹ߢ᷷ᐲߦ㑐ࠊࠄߕ᷹ቯน⢻ޔ㧞㧕㜞࿶ജਅߢߩ᷹ቯ߇น ⢻ޔ㧟㧕㜞⏛႐ਅߢߩ᷹ቯ߇น⢻ޔߐࠄߦ⹜ᢱߦߟ޿ߡ߽ޔ㧠㧕‛⾰ߩᒻᘒ(࿕૕ޔᶧ૕ޔ ᳇૕)ߦ㑐ࠊࠄߕ᷹ቯน⢻ޔ㧡㧕ࡃ࡞ࠢߩᖱႎࠍᓧࠄࠇࠆ㧔ࡃ࡞ࠢ⹜ᢱ⴫㕙ߩᓇ㗀ࠍήⷞߢ ߈ࠆ㧕ߥߤ߇᜼ߍࠄࠇࠆޕߒߚ߇ߞߡታ㛎ⅣႺߐ߃ᢛ஻ߔࠇ߫ޔ޽ࠄࠁࠆ‛⾰ߦኻߔࠆⶄ วᭂ㒢ⅣႺਅߢߩ᷹ቯ߇น⢻ߥᚻᴺߢ޽ࠆߣ⸒߃ࠆޕ ᣂߒ޿‛⾰߿‛ℂ⃻⽎߇⷗ߟ߆ߞߚ႐วޔవߕޔ㨄✢࿁᛬ታ㛎╬ߦࠃࠅ⚿᥏᭴ㅧ߿㔚ሶ ኒᐲಽᏓ߇⺞ߴࠄࠇࠆ߇ޔㆇേ㊂ኒᐲಽᏓࠍᓧࠄࠇࠆࠦࡦࡊ࠻ࡦᢔੂታ㛎ߪޔߎࠇࠄߣ⋧ ⵬⊛ߥᓎഀࠍᨐߚߒޔ㔚ሶ࡮゠㆏⁁ᘒޔහߜޔࡃࡦ࠼᭴ㅧߦ↱᧪ߔࠆࡈࠚ࡞ࡒ㕙߿ޔ㔚ሶ ߇ዪ࿷ߒߡ޿ࠆ(ಽሶ)゠㆏ߩභ᦭⁁ᘒߩ⎇ⓥߦ↪޿ࠄࠇߡ߈ߚޕߎࠇ߹ߢߦ߽ޔ਄⸥ߩ․ 㐳ࠍᵴ߆ߒޔᒝ⋧㑐♽‛⾰[1-3]ޔ⿥વዉ૕[4]ޔ⏛ᕈ૕߅ࠃ߮⏛ᕈ⭯⤑[5,6]ޔᶧ૕࡮ṁⲢ㊄ ዻ[7]ޔ᳓⚛ๆ⬿ว㊄[8,9]╬ޔ᭽ޘߥ‛⾰ࠍኻ⽎ߦߒߚ⎇ⓥ߇ⴕࠊࠇߡ޿ࠆޕ

(2)

−76−

㧞㧚 ᷹ቯ࡮⸃ᨆᛛⴚ⊒ዷߩ዁᧪ዷᦸ

㧔㧝㧕㨄✢ಽశᛛⴚߣ⹜ᢱⅣႺ㧦 ࠦࡦࡊ࠻ࡦᢔੂታ㛎ߩ․㐳ࠍࠃࠅ᦭ലߦᵴ↪ߔࠆߚ߼ ߦߪޔㆇേ㊂ಽ⸃⢻ߣ᷹ቯല₸ߩะ਄߇ਇนᰳߢ޽ࠆޕ⃻࿷ߩㆇേ㊂ಽ⸃⢻ߪޔ0.1㨪0.15 atomic units (a.u.: e =m =ƫ =1, c §a.u.)ߢ޽ࠆ߇ޔߎࠇࠍ৻ᩴ਄ߍߡ㨪0.01a.u. ߦߔࠆߎߣ

߇ߢ߈ࠇ߫ޔಽሶવዉ૕ߦ߅ߌࠆࡈࠚ࡞ࡒ㕙ߣ⻉⃻⽎ߩ⋧㑐ߩ⸃᣿߇ߥߐࠇࠆߣᦼᓙߐࠇ ࠆޕߒ߆ߒޔㆇേ㊂ಽ⸃⢻ߩะ਄ߦ઻޿ޔࠦ࡯ࠪࡖࠬဳ⚿᥏ಽశ♽ࠍ೑↪ߒߡ޿ࠆ᷹ቯེ ߩ⸘᷹ᒝᐲ߇ૐਅߔࠆߚ߼ޔ⃻⁁ߩ࠙ࠖࠣ࡜࡯శḮߢߥߊޔᣂߚߥࠕࡦࠫࡘ࡟࡯࠲శḮߣ ࠬࠠࡖ࠾ࡦࠣဳ㨄✢ಽశᛛⴚࠍ⚵ߺวࠊߖߚᣂߒ޿ࠬࡍࠢ࠻ࡠࡔ࡯࠲ߩ㐿⊒߇ᔅⷐߢ޽ࠈ ߁ޕߐࠄߦ⹜ᢱⅣႺߣߒߡޔHe ᷷ᐲએਅߩ಄ළⵝ⟎ޔ㜞᷷ⵝ⟎ޔ㜞⏛႐⊒↢↪ߩ⿥વዉࡑ ࠣࡀ࠶࠻ޔ㜞࿶ⵝ⟎╬ࠍᢛ஻ߔࠇ߫ޔᄙ᭽ߥ‛ᕈߩᄌൻߦኻᔕߒߚੑᰴర޽ࠆ޿ߪਃᰴర ߩㆇേ㊂ኒᐲಽᏓ߿㔚ሶභ᦭ᢙኒᐲಽᏓࠍᓧࠆߎߣ߇น⢻ߣߥࠅޔߎࠇࠍㅢߒߡࡈࠚ࡞ࡒ 㕙ߩ᭴ㅧࠍⷞⷡ⊛ߦᝒ߃ࠆߎߣ߇ߢ߈ࠆ߽ߩߣ⠨߃ࠄࠇࠆ[3]ޕ 㧔㧞㧕ᤨ㑆ಽ⸃᷹ቯ㧦 ࠦࡦࡊ࠻ࡦᢔੂߪࠗࡦࡄ࡞ࠬ⊛㕖ᐓᷤᕈᢔੂߩߚ߼ޔ⿥㜞ㅦߢᄌ ൻߔࠆേ⊛ㆊ⒟ਅߦ޽ࠆ㔚ሶ࡮゠㆏⁁ᘒߩࠬ࠽࠶ࡊ࡚ࠪ࠶࠻᷹ⷰߦᦨㆡߢ޽ࠆޕ⃻⁁ߪ㕒 ⊛ⅣႺ᧦ઙਅߩᤨ㑆ᐔဋߩ㔚ሶ࡮゠㆏⁁ᘒ߇᷹ቯኻ⽎ߢ޽ࠆ߇ޔ㕖ᐔⴧ᧦ઙਅߢߩ㔚ሶ࡮ ゠㆏⁁ᘒޔ㜞๟ᵄ㔚⏛႐ਅߢߩࠬࡇࡦ࡮㔚ሶ゠㆏ߩᔕ╵ޔ⋧᜛ᢔ⃻⽎ߥߤޔࡑࠢࡠߥ⃻⽎ ࠍේሶ゠㆏߿ࠬࡇࡦ࡟ࡌ࡞ߩᄌൻߣߒߡߣࠄ߃ࠆ᷹ቯ߇ዷ㐿ߐࠇᓧࠆޕ᷹ቯኻ⽎ߩᤨ㑆ࠬ ࠤ࡯࡞ߦࠃߞߡޔ⇣ߥࠆ᷹ቯࠪࠬ࠹ࡓࠍណ↪ߔࠆߎߣߦߥࠆ߇ޔps㨪ns ߩ⃻⽎ߢߪࡐࡦࡊ࡮ ࡊࡠ࡯ࡉᴺޔns㨪ms ߢߪ࡝ࠬ࠻ࡕ࡯࠼ᴺࠍᬌ⸛ߒߡ޿ࠆޕ 㧔㧟㧕ࠦࡦࡊ࠻ࡦᢔੂ෻〡㔚ሶߩ೑↪㧔㨄✢శሶߣ෻〡㔚ሶߩࠦࠗࡦࠪ࠺ࡦ᷹ࠬቯ㧕㧦 ࠦ ࡦࡊ࠻ࡦᢔੂ෻〡㔚ሶߩ෻〡ᣇะߣߘߩㆇേ㊂ߦߪ㔚ሶߩೋᦼ⁁ᘒߩᖱႎ߇ᱷߐࠇߡ޿ࠆޕ ߘߩᖱႎࠍ᷹ቯߒ೑↪ߔࠆߎߣߪ੹ᓟචᐕ㑆ߩ߭ߣߟߩ࠹࡯ࡑߢ޽ࠆޕౕ૕⊛ߥ೑↪ߣߒ ߡޔ࿕૕ਛߢߩ෻〡㔚ሶߩ⍴޿ㅘㆊ〒㔌ࠍ೑↪ߒߚ⹜ᢱ⴫㕙ㄭறߩࠬࡇࡦ࡮㔚ሶ゠㆏⁁ᘒ ⎇ⓥ߳ߩ⊒ዷ߇ᦼᓙߐࠇࠆޕ 㧟㧚 ዁᧪⊛ߥ೑↪⎇ⓥ  ਄⸥ߩࠃ߁ߥᛛⴚ⊛ㅴዷ߇ߺࠄࠇߚ႐วߦᦼᓙߐࠇࠆᣂߒ޿೑↪⎇ⓥߦߟ޿ߡ⠨߃ߡߺ ߚ޿ޕ 㧔㧝㧕ᒝ⋧㑐㔚ሶ♽ߣ㊂ሶ⋧ォ⒖㧦 ㊂ሶ⥃⇇ὐㄭறߢ಴⃻ߔࠆ⃻⽎ࠍℂ⸃ߔࠆ߁߃ߢޔ 㔚ሶ゠㆏ߩ㊂ሶ⁁ᘒߣࡈࠚ࡞ࡒ㕙ߩ᳿ቯߪ㊀ⷐߢ޽ࠆޕᒝ⋧㑐♽⹜ᢱޔ⿥વዉ‛⾰ߩ㔚ሶ࡮ ゠㆏⁁ᘒߩ⎇ⓥߪ⃻࿷ߢ߽ⴕࠊࠇߡ޿ࠆ߇ޔ⥝๧ᷓ޿⃻⽎ߪ He ᷷ᐲએਅߢ᷹ⷰߐࠇࠆ႐ ว߇ᄙߊޔ⿥ૐ᷷ߢߩ᷹ቯ߿㜞⏛႐ਅߢߩ᷹ቯ߇น⢻ߦߥࠇ߫ޔ㊂ሶ⥃⇇⃻⽎߿⿥વዉォ ⒖᷷ᐲߩ೨ᓟߦ߅ߌࠆ㔚ሶ࡮゠㆏⁁ᘒߣࡈࠚ࡞ࡒ㕙ߦߟ޿ߡߩ⹦⚦ߥ⎇ⓥࠍ߅ߎߥ߁ߎߣ ߇ߢ߈ࠆߢ޽ࠈ߁ޕ 㧔㧞㧕᦭ᯏ⏛ᕈ૕࡮વዉ૕㧦 ᦭ᯏ⏛ᕈ૕࡮વዉ૕ࠍኻ⽎ߦߒߚ⎇ⓥߪޔߎࠇ߹ߢߩߣߎ ࠈޔ޽߹ࠅⴕࠊࠇߡ޿ߥ޿ޕߎࠇࠄߦ߅޿ߡ߽⏛᳇ォ⒖᷷ᐲ╬߇ૐߊޔ⃻⁁ߩታ㛎ⅣႺߢ ߪ᷹ቯน⢻ߥ⹜ᢱ߇㒢ࠄࠇߡ޿ࠆ߆ࠄߢ޽ࠆޕࠦࡦࡊ࠻ࡦᢔੂታ㛎ߢߪޔ౉኿㨄✢ߩࠛࡀ ࡞ࠡ࡯߇㜞ߊޔశ㔚ലᨐߩᢿ㕙Ⓧ߇ዊߐ޿ߚ߼ޔ⹜ᢱߦਈ߃ࠆ࠳ࡔ࡯ࠫߪዊߐ޿߽ߩߣ⠨ ߃ࠄࠇࠆޕᓥߞߡޔ⿥ૐ᷷ߩታ㛎ⅣႺ߇ታ⃻ߔࠇ߫ޔ⎇ⓥಽ㊁ߩ⵿㊁ࠍᐢߍࠆߎߣ߇ߢ߈ ࠆߢ޽ࠈ߁ޕ

(3)

−77− 㧔㧟㧕ᶧ૕㧦 ᶧ૕߿ṁⲢ㊄ዻߩ⎇ⓥߪޔߎࠇ߆ࠄㅴዷ߇ᦼᓙߐࠇࠆಽ㊁ߢ޽ࠆޕߎࠇ߹ ߢߦ߽ޔ᳓ޔࠕ࡞ࠦ࡯࡞ޔṁⲢ㊄ዻ࡮ඨዉ૕ߩ㜞ಽ⸃⢻ࠦࡦࡊ࠻ࡦᢔੂ᷹ቯ߇ⴕߥࠊࠇߡ ߅ࠅޔ᳓⚛⚿ว߿౒᦭⚿ว⁁ᘒߩ⎇ⓥ߇ᆎ߹ߞߚ߫߆ࠅߢ޽ࠆޕᦨㄭޔࠦࡦࡊ࠻ࡦᢔੂታ 㛎ߣᲧᾲ᷹ቯߩ⚿ᨐ߆ࠄޔઁߩᚻᲑߢߪᓧ㔍޿ޔᝄേᲧᾲߣ㈩⟎Ყᾲߩಽ㔌߇น⢻ߦߥߞ ߚ[7]ޕᔕ↪਄㊀ⷐߥޔ᳓߅ࠃ߮᳓ṁᶧߩ࠽ࡁ࡮ࠝ࡯࠳࡯ߢߩ᭴ㅧߣᾲ⊛․ᕈߩ⋧㑐ࠍ᣿ࠄ ߆ߦߔࠆ⎇ⓥ߇੹ᓟዷ㐿ߐࠇࠆ߽ߩߣᦼᓙߐࠇࠆޕ 㧔㧠㧕᳇૕㧔ࠟࠬ⋧ߩൻቇ㧕㧦 ᳇૕ࠍ⎇ⓥኻ⽎ߦߒߚࠦࡦࡊ࠻ࡦᢔੂታ㛎ߪޔฎߊߦߪⴕ ࠊࠇߡ޿ߚᤨᦼ߇޽ࠆ߇ޔ⃻࿷ߢߪޔ޽߹ࠅⴕࠊࠇߡ޿ߥ޿ࠃ߁ߢ޽ࠆޕߒ߆ߒޔ㜞ࠛࡀ ࡞ࠡ࡯㨄✢ࠍ↪޿ࠆ೑ὐࠍᵴ߆ߖ߫ޔᣂߚߥᔕ↪⎇ⓥ߇ᦼᓙߢ߈ࠆޕߚߣ߃߫ޔ㚟േߒߡ ޿ࠆࠛࡦࠫࡦౝㇱߩࠟࠬࠍޔࠦࡦࡊ࠻ࡦᢔੂߩᤨಽഀ᷹ቯ(ᤨ㑆ಽ⸃⢻㧦㨪ȝs㧕ߦࠃࠅ᷹ⷰ ߒޔΆ὾ㆊ⒟ߩ⎇ⓥߦ೑↪ߔࠆߎߣߥߤ߇⠨߃ࠄࠇࠆޕ  ߹ߚㄭᐕޔᄢ᳇࿶޽ࠆ޿ߪ㜞࿶ਅߢߩࡊ࡜࠭ࡑ⁁ᘒ߇ޔࡊࡠ࠮ࠬᔕ↪ߣၮ␆⎇ⓥߩὐߢ ᵈ⋡ࠍ㓸߼ߡ޿ࠆޕᄢ᳇࿶ޔ㜞࿶ਅߢߩࡊ࡜࠭ࡑ㔚ሶ⁁ᘒߩ⎇ⓥ߳ߩᔕ↪߇ᦼᓙߢ߈ࠆޕ [1] A. Koizumi et al., Phys. Rev. Lett. 86, 5589(2001).

[2] A. Koizumi et al., Phys. Rev. B 74, 012408(2006). [3] S. B. Dugdale et al., Phys. Rev. Lett. 96, 046406 (2006). [4] J. Laverock et al., Phys. Rev. B 76, 052509(2007). [5] H. Sakurai et al., Appl. Phys. Lett. 88, 062507(2006). [6] H. Sakurai et al., J. Appl. Phys. 102, 013902(2007). [7] K. Nygård et al., Phys. Rev. Lett. 99, 197401 (2007). [8] S. Mizusaki et al., Jpn. J. Appl. Phys. 44, 3939(2005). [9] S. Mizusaki et al., Phys. Rev. B 73, 113101(2006).

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