F 3UHVV VVX XUH GHSHQGHQFH RI 7 LQ WKH 0J% VXSHUFRQGXFWRU DV SUREHG E\ UH VL VW L Y L W \ P H D VX UH P H Q W V (6DLWR7 77 <,ZDVD 7DNQHQREX7,WR< ,ZDVDDQG.3UDVVLGHV -DSDQ $GYDQFHG ,QVWLWXWH RI 6FLHQFH DQG 7HFKQRORJ\ 7DWVXQRNXFKL arXiv:cond-mat/0102511 28 Feb 2001 ,VKLNDZD-DSDQ 6FKRRORI&KHPLVWU\3K\VLFVDQG(QYLURQPHQWDO6FLHQFH8QLYHUVLW\ RI6XVVH[%ULJKWRQ%14-8. ,QVWLWXWH RI 0DWHULDOV 6FLHQFH 1&65 ´'HPRNULWRVµ $J 3DUDVNHYL$WKHQV*UHHFH $EVWUDFW $EVWUDFW +LJKSUHVVXUHUHVLVWLYLW\H[SHULPHQWVZHUHSHUIRUPHGRQWKHUHFHQWO\ GLVFRYHUHG VXSHUFRQGXFWRU 0J% 7F GHFUHDVHV TXDVLOLQHDUO\ ZLWK DSSOLHG SUHVVXUH WR *3D DW D UDWH RI VRPHZKDW ODUJHU WKDQ WKDW GHULYHG −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∆7 %&6W\SHPHFKDQLVPKDVGHULYHGIURPPHDVXUHPHQWVRIWKHERURQLVRWRSHHIIHFW . SDUWLDO ERURQ LVRWRSH H[SRQHQW WKH VXSHUFRQGXFWLQJ HQHUJ\ JDS F α %a >@ DQG WKH WHPSHUDWXUH GHSHQGHQFH RI ∆7 >@ 7KH YDOXH RI WKH UDWLR ∆N7 KDV EHHQ F UHSRUWHG ERWK DV a IURP WXQQHOLQJ >@ DQG DV a IURP % 105 >@ PHDVXUHPHQWV LPSO\LQJ ZHDNO\ DQG VWURQJO\ FRXSOHG VXSHUFRQGXFWLYLW\ UHVSHFWLYHO\ $ NH\ GLIIHUHQFH EHWZHHQ WKH FXUUHQWO\ FRPSHWLQJ PRGHOV RI VXSHUFRQGXFWLYLW\ UHODWHV WR WKH HIIHFW RI DSSOLHGSUHVVXUHRQ7FZLWKWKHSKRQRQPHGLDWHGDQGWKHKROHXQGUHVVLQJPHFKDQLVPV SUHGLFWLQJ QHJDWLYH DQG SRVLWLYH SUHVVXUH FRHIILFLHQWV UHVSHFWLYHO\ DF VXVFHSWLELOLW\ PHDVXUHPHQWV KDYH IRXQG GHFUHDVLQJ YDOXHV RI 7F ZLWK DSSOLHG SUHVVXUH DW WKH UDWH RI −G7 G3a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Ω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².*3D DQG ² .*3D IRU PLGSRLQW DQG ]HURUHVLVWDQFH UHVSHFWLYHO\ JLYLQJ DQ DYHUDJH YDOXH RI .*3D 7KHVH DUH VOLJKWO\ ODUJHU WKDQ WKH YDOXH GHULYHG E\ DFVXVFHSWLELOLW\PHDVXUHPHQWV².*3D>@ 2I SDUDPRXQW LPSRUWDQFH LV WKH GHWHUPLQDWLRQ RI WKH XQGHUO\LQJ PHFKDQLVP IRUVXSHUFRQGXFWLYLW\LQ0J%DQGH[SHULPHQWDOGDWDDUHUDSLGO\EHLQJDFFXPXODWHG$ %&6W\SH SDLULQJ LQWHUDFWLRQ PHGLDWHG E\ KLJKIUHTXHQF\ ERURQ SKRQRQ PRGHV LV FRQVLVWHQW ZLWK WKH UHGXFWLRQ RI 7F XQGHU SUHVVXUH DQG LQGLFDWHV WKDW ZLWKLQ WKH %&6 ε SLFWXUH WKH UHGXFWLRQ RI WKH GHQVLW\ RI VWDWHV DW WKH )HUPL HQHUJ\ 1 ) GXH WR WKH FRQWUDFWLRQ RI WKH %% DQG 0J% LQWHUDWRPLF GLVWDQFHV GRPLQDWHV WKH KDUGHQLQJ RI SKRQRQIUHTXHQFLHVWKDWFRXOGFDXVHLQFUHDVHRI7FDVH[WHUQDOSUHVVXUHLVDSSOLHG7KLV VLWXDWLRQ LV UHPLQLVFHQW RI RWKHU KLJK7F %&6W\SH VXSHUFRQGXFWRUV OLNH WKH DONDOL PHWDO LQWHUFDODWHG IXOOHULGHV LQ ZKLFK KLJK IUHTXHQF\ FDUERQEDVHG LQWUDPROHFXODU SKRQRQVPHGLDWHHOHFWURQSDLULQJ>@ Ø $WILUVWJODQFH WKHQRUPDOL]HGSUHVVXUHFRHIILFLHQWRIGOQ7FG3 ²*3DLQ 0J% LV DQ RUGHU RI PDJQLWXGH VPDOOHU WKDQ WKDW LQ WKH .& VXSHUFRQGXFWRU ² *3D>@+RZHYHUWKHUHOHYDQWFRPSDULVRQRXJKWWREHEHWZHHQWKHYROXPHRUODWWLFH SDUDPHWHU SUHVVXUH FRHIILFLHQWV RI 7F .& LV HVVHQWLDOO\ D IDLUO\ VRIW PROHFXODU PDWHULDO ZLWK UHODWLYHO\ ZHDN LQWHUPROHFXODU LQWHUDFWLRQV OHDGLQJ WR D KLJK YROXPH FRPSUHVVLELOLW\ GOQ9G3 ² *3D >@ ZKLOH 0J% LV D VWLII WLJKWO\SDFNHG LQFRPSUHVVLEOH VROLG ZLWK GOQ9G3 DFFRXQWZHREWDLQGOQ7FG9 ² *3D >@ 7DNLQJ WKHVH GDWD LQWR cDYDOXHWKUHHWLPHVODUJHUWKDQWKDWRIIXOOHULGH VXSHUFRQGXFWRUVacLPSO\LQJDQHYHQJUHDWHUVHQVLWLYLW\RIWKHVXSHUFRQGXFWLQJ SURSHUWLHV RI 0J% WR WKH LQWHUDWRPLF GLVWDQFHV 7KLV VHQVLWLYLW\ LV DOVR HYLGHQW LI WKH ODWWLFH SDUDPHWHU FRHIILFLHQWV DUH FRQVLGHUHG DV IRU ERWK LQWUDSODQH DQG LQWHUSODQH GLUHFWLRQV GOQ7FGD c DQG GOQ7FGF c UHVSHFWLYHO\ WKHVH DUH VLJQLILFDQWO\ODUJHUWKDQWKHYDOXHRIcIRU.& ,Q FRQFOXVLRQ WKH REVHUYHG QHJDWLYH SUHVVXUH FRHIILFLHQW RI 7F LQ WKH 0J% VXSHUFRQGXFWRUDVVXPHVDYHU\ODUJHYDOXHFRQVLVWHQWIRUDULJLGEDQGSLFWXUHZLWKDQ H[WUHPHO\VHQVLWLYHGHSHQGHQFHRI1 ε )RQWKH%%DQG0J%ERQGLQJGLVWDQFHVZLWKLQ WKH IUDPHZRUN RI %&6 WKHRU\ :H QRWH KRZHYHU WKDW IRU QRQULJLG EDQG EHKDYLRXU DQG GHSHQGLQJ RQ WKH H[WHQW RI GRSLQJ LQ 0J% RWKHU FRPSHWLQJ PHFKDQLVPV PD\ VWLOO EH DEOHWRDFFRXQWIRUWKHREVHUYHGH[SHULPHQWDOGDWD 5HIHUHQFHV 5HIHUHQFHV >@1DJDPDWVX-HWDO1DWXUHLQSUHVV >@-RQHV0(DQG0DUVK5(-$P&KHP6RF >@.RUWXV-HWDOFRQGPDW >@.DQJ:1HWDOFRQGPDW >@+LUVFK-(FRQGPDW >@%XG·NR6/HWDO3K\V5HY/HWWLQSUHVV >@.DUDSHWURY*HWDOFRQGPDW >@.RWHJDZD+HWDOFRQGPDW >@/RUHQ]%0HQJ5/&KX&:FRQGPDW >@3UDVVLGHV.HWDO1DWXUH >@6SDUQ*HWDO6FLHQFH >@=KRX2HWDO6FLHQFH >@3UDVVLGHV.HWDOVXEPLWWHGIRUSXEOLFDWLRQ )LJXUH&DSWLRQV )LJXUH&DSWLRQV )LJXUH )LJXUH 5HVLVWDQFH QRUPDOLVHG WR WKH . YDOXHV YV WHPSHUDWXUH IRU 0J% DW VHYHUDO DSSOLHG SUHVVXUHV )LJXUH )LJXUH 3UHVVXUH GHSHQGHQFH RI 7F ]HURUHVLVWDQFHRSHQFLUFOHV GHWHUPLQHG E\ WKH PLGSRLQW ILOOHG FLUFOHV DQG 1.2 1 R (norm alized) 1.35G Pa 0.8 0.9G P a 0.4G P a 0.6 0G P a 0.4 0.2 0 32 34 36 38 40 42 T em perature (K ) )LJXUH (6DLWRHWDO 38 37 36 c T (K ) m id-point dTc/dP=-1 .9 (1) 35 zero-resistance dTc /dP=-2.14(6) 34 33 0 0.5 1 1.5 P ressure (G P a) )LJXUH (6DLWRHWDO
© Copyright 2026 Paperzz