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超強磁場における固体の電子状態と 磁性 1.
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ĎıǓūǓȇȉ b1 $ b1 = B0 2 b2 (b1 + b2 ) = B0 2 $ bn (b1 + b2 + $ $ + bn ) = B0 2 B0 = b1 > b2 > b3 >$ $ B0 n B0 = a j I j ( j = 1,2,3,.... n) bn ( nB0 ) > B0 2 ( bn > i j # bi " I j B0 B = b1 + b2 + b3 +$ $ + bn > B0 # i< j n j =1 1 j źĈőɓɚɔǓɀȞȳȫȯǟľqǨDzȅȇǨǴǪȊ ĜƲtȟȒɋdzĜƲuǹĿnǟƺľqdzȈȋȊɐɐɐ! ľqk¥ĿnİĨ •! ǠȟȒɋĊǓǓf!6##!8!>$'#!8?! •! ğşĊ!!!!f$###!8! •! ƹĿĚşĊ!!!f!7##!8 ɀȞȳȫȯǺƹĿBɓɀȝȤȔȕɋ³BɔǷȇȉľq- 6¡!>W#!8? ƟŮ! ÷ƲŁ}ɑ¥ĿnǹĮ! `ɓóɔȇȉ Ʊu¥Ŀnɓ$NWNƽɔ ǨǞǨǔľqǷǺæƲÞƯǟǞǞȊɓ¸¶ǹǮȄƚȋȊɔ! "¡!>7#!8? ǨǞǨƴǺǔȟȒɋǹuGǶǵdz$##!8ǺĥǺ÷ȄDzdƸ ɀȞȳȫȯǟľqǪȊ@ǷĿnȎİĨǔĔȅ~ǧǬȊ! (ǓɀȒȝɍłǹ»ǚ # 2 +1 "r, # 2 $1 ǠȟȒɋĊ ĪǓ150ǓT ɓäu 300 TɔǓ Single-turn coil technique (STC) ȶɋȤǓ6Ǔµs Energy 200 kJ (H, V) C = 160 µF (H) , 263.5 µF (V) V = 40 kV(H), 50 kV (V) Z1RV;1BDEF! DžƗrŞ5ĸ Ɍɑȡɑ:/ /}Ĕ B Maxwell stress 400 kg/mm2 at 100 T FIR 200 mm l/R\CEF! Ŀnċ¨Ǵ! ȠȒȝɍȯɍɏ! 2džĔ" ēħo 8V2/!>µI? ğşĊ n9!!,!-!ǔ,-ƻʼn! !!9!#!>(#"!:!("!?!!!!(ȎǧǢǪȋǻ!ǺuǠǢǶȊǕ ğŬǷȇȉĹƯijǶuƹBȎİĨ $S##!8! ğŬ"##!s*! >$###!PQ?! ³ĪǷƠ 4Ők ïk œgɍȤȐɉɄȤĽŊ½dzǹğşĊǹDŽ ƹĿĚşĊ! ŴěǓȖȳɋȜɑǹuǠǧǔrÌEĤ äuĿnǓǓ700 TǓǓ 50 T !Ǔ700 T : ~ 2 µs ɓȝȳɑɋĊɝ$NSS!T%!0%!0BER/?Ǔ Ǔ B ȟɏȮɏȠɑȵɏȝLJǓǓǓLJɉȒȱɑǹƛFȖȳɋȜɑ Electromagnetic flux compression (EMFC) Energy 5MJ C = 6.25 mF V = 40 kV Air Gap Switch Liner IP IL ɉȒȱɑǹƛFȖȳɋȜɑLJǓǓǓĿnǹȖȳɋȜɑ d! = # RL (rL ) I L dt dI dL (r ) dI dM (rL ) LL (rL ) L + L L I L # M (rL ) P # I P # µ0 H 0 S (rL ) dt dt dt dt = # RL (rL ) I L 400 mm Primary Coil d 2r #m 2L = F (rL ) dt µ d 2 rL 2 2 #m 2 = 2" rL ! L 0 $(H e + H 0 ) # (H i + H 0 ) % ' dt 2 & Capacitor Bank Due to the feed gap of the primary coil 31.36 46.36 53.36 56.36 ƹĿĚşĊǹƙə 500 TǓ!Ǔ600 T Feed Gap Compensator "###ȁdzǹśñ Symmetry is improved ! 700 622T622 T 600 B (T) 2000/6/19 Main 40 kV Sub 7.5 KV Thickness of the Liner 2 mm 200 2 probe destruction 1 500 2 300 200 1 100 200 10 20 40 30 2 Break Point 0 0 50 1 LJTime ( µ s) Feed Gap Compensator 100 0 36 with FC 3 3 400 0 3 300 300 4 600 500 400 4 500 400 700 µs I (MA) 600 I (MA) ɐɉȒȱɑȤȸɑȰ ɐɉȒȱɑRşǹń¶ 57.36 I (MA) ƹĿĚşĊǷȇȊ ƈ¥ĿnİĨǹȿȒɏȯ 55.36 B (T) 50.36 B (T) 41.36 4 2001.6.29 without FC 2000.7.14 0 38 40 42 44 46 48 LJTime ( µ s) 100 0 0 48 50 52 54 Time (us) 56 58 Y. H. Matsuda, F. Herlach et al., Rev. Sci. Instrum. 73 (2002) 4288. ƹĿĚşĊǹƙ" 600 TǓ!Ǔ700 T CuɉȒȲɏȞȟȒɋɓǔĘƣǔǓ2005ǓǓɔ ÖÛȟȒɋǷǝǤȊɉȒȱɑRşƝņǹăƑ 4 0 . 3 µs 4 4 . 3 µs 4 8 . 4 µs 5 2 . 5 µs ÛȟȒɋȹȑɑȰȜɅȫȻȟɏȼɏȦɑȨĜ Ĝ Liner 4 2 . 3 µs 4 6 . 4 µs 5 0 . 5 µs 5 4 . 6 µs ?==-@ copper steel 2 6 . 6 µs 4 1 . 6 µs 4 8 . 6 µs 3 6 . 6 µs 4 5 . 6 µs 5 0 . 6 µs ÛȟȒɋȹȑɑȰȜɅȫȻȟɏȼɏȦɑȨæ æ Feed-gap compensator A==-@ ȈǔÚéĠĦ}ǓŏS&bþu! ɓ"##N6å"7Ú6#ÚǔōÐu}ɔLJ ųƶƝņɝȹɉȫȝȤÆÑǔŰÎċǶǵ ɐǓȹɉȫȝȤǹÆÑ! 0 . 8 µs 3 4 . 8 µs 4 2 . 8 µs 2 3 . 7 µs 4 0 . 8 µs 4 4 . 8 µs ÖȟȒɋȹȑɑȰȜɅȫȻȟɏȼɏȦɑȨĜ Ĝ 4 5 . 8 µs copper steel 4 6 . 7 µs #==-@ ÖȟȒɋdzǺȹȑɑȰȜɅȫȻȟɏȼɏȦɑȨȎĪǚǫǷȇǚń¶ǹɉȒȱɑRş ȹɉȫȝȤǹÆÑ! ɉȒȱɑǹhşɐŰÎċǷȇȊ3pǹƛF KECXX2! C1B4XCD1R! ĿëĚşȎŮǛǮȄǷǺ AR/IIXR/! 6#! ,G1Cs!tR1BD! 6! Bf!/k[>lj5:*?! ȎĕǮǪ²ŴǟǙȊ ɐǓɉȒȱɑǹhşɐŰÎċ! !!!!!!!ǷȇȊ3pǹƛF! *! K[!!![ER\CF/!I[//4! ɉȒȱɑǹȤȸɑȰǟƥŴ! $###!8!(Ǔ&!s2:I!! Kt!!!uXk!4VvXIV1B!I[//4! ǓǓLJLJLJLJLJLJLJLJLJLJLJŔzƗ /F/CDR12E*B/\C!/B/R*H! LVB/R!K/F1CVDH!!KV! ɛɗƈ¥ĿndzǹĠ¶ĽŊ ɓ"əɔǓȠȒȝɍȯɍɏ2dž ĠƆǹƹzĢ·Ǻ! ĿndzƧzGǧȋȊ /ǴĠƆǹĶ Ī! ƹzǔȤȸɏǹDƇ! (ȖȳɋȜɑėƯǹơŅ Ŀn ǹƹzǹȠȒȝɍȯɍɏƛFǴɉɏȩȔė Ġ¶ĽŊ½! ƈ¥ĿnİĨŲŠɓƹĿĚşĊɔ! "#$$ǞȈǓž)áÖżĭɓ$###!8żĭɔ! ǟƙŮ ! ÔƣŁ}ķä.ŎĽŊmLJĴö! ǗþȶɋȤä¥ĿnİĨŲŠǹÓ)ǘ! ɓºɚɚɖɚɛɔ ȠȒȝɍȯɍɏ2džǓǍǓæEƆƧLJLjLJǟȍǞȊ ¥Ŀ¶JmBPBYIǹƈ¥ĿnȠȒȝɍȯɍɏ2dž! ÿ{ɓȽɑɋɔxk! ¥Ŀ¶İĥ "c = eB m* ȠȒȝɍȯɍɏ2dž! æEƆƧǔȵɏȰùƘǹĈ L1a!21_VFVDH!µ!!w!$##!C2":>lI?! ZV*G!CERRV/R!4/BIVDH!%[!x!$#$N!C2<6 C&&(----;%D;-!E----;%D;-!"--- µ6/x!$=!!!!!' > 'p !!!! Y. H. Matsuda et al., Phys. Rev. B 70 (2004) 195211. Very high magnetic fields in the megagauss range! ɓ""ɔǓVŷƾlǹȤȼȝȯɍȤȟȸɑ ¥Ŀn ǹɚþ,DƇz Quantized energy of the cyclotron motion GaAs/AlAs MQW B Energy of the spin Zeeman splitting #7/:!#6///9!N#!y:!'#!y!>!!6"!FEH/RI!:!$W!FEH/RI!?! ! ! !9!'#!y:!"#!y!>!!$W!FEH/RI!:!7!FEH/RI!?! !" c = gµ B B ,! !eB m* Radius of the cyclotron orbit of the ground state !CR = ,! " eB ,! eB Density of states of the Landau levels in 2D system! N(E) = h AlAs e GaAs h !! c B a B || AlAs a B! Bohr radius of excitons in the bulk GaAs! a B ~ 120 Å! " 1 !! $ " = ! #2 c% 500 T Combination of 500 T- fields and ! the image converter camera Electromagnetic Flux Compression" up to 400 ~ 600 T [T] R * y " ∼ 55! gµ B B ( m =0.1m0) * [meV] N(E) "CR [Å] [1011 cm-2] 10 11.6 13.5 81 2.42 100 116 135 25.7 24.2 500 580 673 11.5 121.0 ȤȯɊɑȝșɃɉǷȇȊ ĿĄ/\RȤȼȝȯɋ GaAs/AlAs MQW 90 Å/50 Å! #!!!!!$##!!!!"##!!!!6##!!!&##!!!!'##! !!!!!!!!!!!!!!!!!+!>8? Image Converter Camera" 8 µs ( g*=2) [K] DžƗȤȯɊɑȝșɃɉǷȇȊ\R:/ #7/:!#6///9!N#!y:!'#!y! ɓ"6ɔǓDžēƈǹƣŤĮĿn+C"ǹĽŊ ƈǷĿnȎǞǤȊǴ B 6C!ǓĞB}ijŤĮĿn AlAs e GaAs P/VIIB/R!/v/CD! a B || h 6*,,48!w!6C! AlAs 6i!(!"iǓþ,ȝɍȤȘɑȵɑ! ȎŸĔa LʼnǙǮȉƈ8şȖȳɋȜɑ B! "=! " 1 !! $ #2 c% 500 T Ry* " ∼ 55! Y2[/R/zI!F1a! 120 100 Bohr Radius (Å ) Bohr radius of excitons in the bulk GaAs! a B ~ 120 Å! L1B41B!/^XE\1B! +E[[F%! 80 +! aB|| 60 40 aB" 20 04 6 8 1 2 4 6 8 10 2 4 6 8 100 Ŀn%0ƭɓɍɏȰɏǹ%0Đǧɔ! L1B41B![/B/DRE\1B!4/[DG! 2 ! 3%!PVXRE!/D!EF%=!AGHIVCE!+!F?A)F?G->$NNW?!6#W ŏmmŇƈdzǺ Džēƈ !> (% $NWSǓZV*G<8CɓƪƤGĠDžēƈɔİŵ O+E"0&eW! 3! 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AJ+''!>$NN7?!$&&S7! a / a0 3.00 1.001 1.000 0.999 0.998 0.997 0.996 1.2 3.00 1.0 3+ Yb Valence 0.6 0.4 Y_I1R_EBC/! 2+ Yb 0.2 0.0 2.90 30.3 T 28.8 T 2.85 2.90 0 100 200 300 T (K) 2.85 1.2 5K 1.0 '!@! 0T 2.80 0.8 3+ Yb 0.6 0.4 0 Yb 0.2 0.0 8.93 8.94 8.95 Photon Energy (keV) I(3+) v =2+ I(2+) + I(3+) 10 20 30 40 B (T) 2+ 8.96 ē¥Ŀn dzǹO_$ÒǺDžēĶǹ'ǷǿȀ! ~1Ƿ¼ǰDzǚȊǕ! &#!8!Ŀn LJɥƹzɝƜĀ!(!i * O%!Z%!PEDIX4E!/D!EF%=!:8/;9<=8/>028/:,%8-#A!>"##7?!#6&7#"!$<S!! 27.1 T 26.4 T 25.6 T 24.8 T 23.0 T 20.9 T B 2 dM/dH 0 1 (b) 13.2 T 10.2 T 50 7.1 T 3.7 T B 33.80 33.85 0.5 T 33.90 2! (deg.) 33.95 34.00 M 0 A 0 0.08 18.5 T 16.0 T A (a) 0.998 (220) reflection 2.95 2.95 Yb 0.8 B 0.999 A YbInCu4 41 T Intensity (counts/10 µs) 5K 1.000 Integrated Intensity (a.u.) O_!L6!\Rɓ"[6:"!(!'4ɔ śàȅĿndzr¨ M, dM/dH (arb. units) rŞ:/dzƹzĢ·ȎĵËŸĔ FWHM (deg.) O_mB0X&! @%!O1IGV2XRE!/D!EF%=! AJLS#!>$NWW?!W'$! a/a0 3 cm $ÒƎŅdzśàùƘ! ǹrGǺĜǚ B 0.06 0.04 A 0.02 (c) 0.00 0 5 10 15 20 25 30 Magnetic Field (T) Y. H. Matsuda et al., J. Phys. Soc. Jpn. 75 (2006) 024710 ȁǴȄ •! ĿnǺĠ¶ĠĦǹĽŊǷýǞǬǶǚ! šɝǓƈ¥ĿnØžǹŵ}Ǵƈ¥ĿnİĨǹ¿! 7å"NÚɓƨɔǓ$6-##ɓƵYɔ!!f!!$S-## òțɅɏȶȤ •! ĿnİĨǹƸǨǧɨťĝǺĿnȎyǛɟ! Ǔ(ǓĿnƮİ¿ůǹu;ǧ! Ǔ(Ǔ¥ĿnǹĮǺèĺǹĥƃǹǓ! •! Ï/ɣŞǴ¥Ŀn! Ǔ(Ǔ¥ĿnɁȝɍĠ¶ǾǹÖƮ Ġ¶ĽǓéǃɓYõɔ! ɓSƳ Dzɔ õɓ+=!0=!iõɔ ƵYn½! 0õ0ȉU! ɓ0õǴiõǹƯɔ