Magnetisation Studies of Geometrically Frustrated Antiferromagnets SrLn2O4, with Ln = Er, Dy and Ho
Thomas J. Hayes, Olga Young, Geetha Balakrishnan, Oleg A. Petrenko
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75 H n_‘Z_ _Xj Y\\e i\gfik\[ gi\m‘fljcp ]ifd _\Xk ZX-gXZ‘kp Xe[ gfn[\i e\lkife [‘!iXZk‘fe d\Xjli\d\ekj ’("
Ln = Er Ln = Dy c ( e m u / O e m o l L n ) H || aH || bH || c T (K) Ln = Ho /65" &" %8a^agd a‘^[‘W& Ca^Sd egeUWbf[T[^[fk UgdhWe Xad Id;d $ E & ’Id9k $ E & S‘V Id>a $ E & aTfS[‘WV [‘ fZW fW_bWdSfgdW dS‘YW *).2 fa+)2 A) JZW VSfS Xad S‘ Sbb^[WV "W^V aX +** EW SdW aTfS[‘WV a‘iSd_[‘Y SXfWd "W^V Uaa^[‘Y %abW‘ ek_Ta^e& ad SXfWd lWda("W^V Uaa^([‘Y %ea^[V ek_Ta^e&) B[‘We [‘V[USfW fZW VSfS Xad S‘ Sbb^[WV "W^V aX+ ]EW aTfS[‘WV a‘ iSd_[‘Y SXfWd lWda("W^V Uaa^[‘Y) JZW Sddaieba[‘f fa fZW S‘a_S^[We SeeaU[SfWV i[fZ _SY‘Wf[U adVWd[‘Y fdS‘e[(f[a‘e aX *)1- A [‘ Id;d $ E & S‘V *)0, A [‘ Id>a $ E & ) ‘j j\\e dfjk Zc\Xicp ]fi ( = 100 L\ Xggc‘\[ Xcfe^ k_\ / Xo‘j Xj X j_Xig [ifg ‘e k_\ mXcl\ f] $ * , + Y\cfn 0.73 H*j\\ kfg gXe\c ‘e C‘^. 3+. Fk ‘j gfjj‘Yc\ k_Xk X jdXcc mXi‘X-k‘fe ‘e fi[\i‘e^ k\dg\iXkli\ ‘j [l\ kf X jdXcc [‘!\i\eZ\‘e k_\ jkf‘Z_‘fd\kip f] k_\ jXdgc\j; n\ efk‘Z\[ k_Xk Xkc\Xjk jfd\ jXdgc\j k\e[ kf cfj\ n\‘^_k ‘] c\]k lej\Xc\[]fi X cfe^ k‘d\. 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Fk ‘j leZc\Xi n_\k_\i k_\i\cXk‘m\cp df[\jk Xggc‘\[ "\c[ jlggi\jj\j k_\ dX^e\k‘Zfi[\i‘e^ ‘e PiBi ’ L ) fi g\i_Xgj j_‘]kj ‘k kf dlZ_ cfn\ik\dg\iXkli\j. >ck\ieXk‘m\cp, k_\ kiXej‘k‘fe jk‘cc \o‘jkj ‘eXe Xggc‘\[ "\c[, Ylk nXj efk fYj\im\[ Xj k_\ jljZ\gk‘Y‘c-‘kp j‘dgcp Y\ZXd\ c\jj j\ej‘k‘m\ kf ‘k.> gfn[\i e\lkife [‘!iXZk‘fe jkl[p f] PiBi ’ L ) gf‘ekjkf Xe leljlXc dX^e\k‘Z Y\_Xm‘fli, n_\i\ fecp _Xc] f] k_\Bi j‘k\j *j_fne ‘e \‘k_\i i\[ fi Ycl\ ‘e C‘^. 1+ gXik‘Z‘-gXk\ ‘e k_\ kiXej‘k‘fe kf K%\\c fi[\i ’(" Yp ]fid‘e^ Xe Xe-k‘]\iifdX^e\k‘Z jkilZkli\ gXiXcc\c kf k_\ / Xo‘j, n_‘c\ k_\fk_\i _Xc] f] k_\ dX^e\k‘Z j‘k\j i\dX‘e [‘jfi[\i\[. Cli- -) FZke) IaU) @b‘) /400 1-1.23 M ( (cid:181) B / E r + ) SrEr O T = 0.5 K H || aH || bH || c d M / d H ( (cid:181) B / E r + ) H (kOe) /65" ’" %8a^agd a‘^[‘W& %Jab bS‘W^& <[W^V(VWbW‘VW‘f _SY‘Wf[eS(f[a‘ UgdhWe Xad Id;d $ E & aTfS[‘WV Sf *)/ A [‘ fZW dS‘YW aX "W^Ve * fa.* ]EW) %7affa_ bS‘W^& JZW "W^V VWd[hSf[hWe aX fZW _SY‘Wf[eSf[a‘) k_\idfi\, i\Z\ek j‘e^c\ ZipjkXc e\lkife [‘!iXZk‘fe d\X-jli\d\ekj ’)" j_fn \m‘[\eZ\ k_Xk k_‘j i\dX‘e‘e^ _Xc] jlg-gfikj X j\gXiXk\ j_fik\i-iXe^\ fi[\i *POL+ n_\i\ k_\jg‘ej Xi\ Xc‘^e\[ gi\[fd‘eXekcp Xcfe^ k_\ - Xo‘j. Q_‘jPOL jkilZkli\ Zf\o‘jkj n‘k_ k_\ IOL jkilZkli\ Xk k\d-g\iXkli\j Y\cfn , $ . Le\ Zflc[ ‘dX^‘e\ k_Xk Yfk_ jkilZ-kli\j Zfeki‘Ylk\ [‘!\i\ekcp kfnXi[j k_\ dX^e\k‘Z jljZ\g-k‘Y‘c‘kp, n_‘Z_ d‘^_k \ogcX‘e, ‘e gXik Xk c\Xjk, k_\ _‘^_cpXe‘jfkifg‘Z Y\_Xm‘fli fYj\im\[ ‘e PiBi ’ L ) Xk cfn k\d-g\iXkli\.Cfi PiEf ’ L ) , n_\e X "\c[ f] 100 L\ ‘j Xggc‘\[ Xcfe^k_\ [‘!\i\ek gi‘eZ‘gXc ZipjkXc Xo\j, X Zljg ‘e k_\ jlj-Z\gk‘Y‘c‘kp Xk 0.62 H jl^^\jkj k_\ gi\j\eZ\ f] X g_Xj\kiXej‘k‘fe *C‘^. 3, Yfkkfd gXe\c+. Q_‘j ‘j k_\ "ijk ‘e[‘-ZXk‘fe f] X kiXej‘k‘fe kf X IOL jkXk\ i\gfik\[ ]fi k_‘jZfdgfle[. ?\cfn k_\ kiXej‘k‘fe k\dg\iXkli\, k_\i\ ‘jXcjf X efk‘ZXYc\ [‘!\i\eZ\ Y\kn\\e k_\ [XkX fYkX‘e\[fe nXid‘e^ X]k\i Zffc‘e^ ‘e "\c[ *C@T+ Xe[ k_\ q\if-"\c[-Zffc\[ nXid‘e^ *VC@T+ [XkX. Q_\j\ [XkX Xi\ ‘e-Zcl[\[ ‘e k_\ Yfkkfd gXe\c f] C‘^. 3 Xj fg\e *C@T+ Xe[Zcfj\[ *VC@T+ jpdYfcj. O\dXibXYcp, k_\i\ ‘j ef efk‘Z\-XYc\ [‘!\i\eZ\ Y\kn\\e k_\ C@T Xe[ k_\ VC@T [XkX‘e PiBi ’ L ) Xk Xep k\dg\iXkli\. Fe k_\ XYj\eZ\ f] Xep[XkX fe k_\ dX^e\k‘Z jkilZkli\ f] PiEf ’ L ) Y\cfn , $ ‘k‘j [‘$Zlck kf jg\ZlcXk\ n_\k_\i k_\ fYj\im\[ [‘!\i\eZ\jXi\ [l\ kf ‘eZfdgc\k\ fi[\i Xe[ ^cXjj‘e\jj fi ZXlj\[ YpdX^e\k‘Z [fdX‘e nXcc dfk‘fe.P‘d‘cXi kf n_Xk _Xj Y\\e j\\e ‘e PiBi ’ L ) , X df[\iXk\"\c[ f] 1 bL\ Xggc‘\[ kf PiEf ’ L ) jlggi\jj\j k_\ Zljg ‘ek_\ $ * , + Zlim\j *j\\ Yfkkfd gXe\c ‘e C‘^. 3+. Q_\ _‘^_\i-"\c[ [XkX Xcjf Xgg\Xi kf Y\ Xcdfjk ‘ej\ej‘k‘m\ kf jXdgc\ SrDy O T = 0.5 K H || aH || bH || c M ( (cid:181) B / D y + ) d M / d H ( (cid:181) B / D y + k O e ) H (kOe) /65" (" %8a^agd a‘^[‘W& %Jab bS‘W^& <[W^V(VWbW‘VW‘f _SY‘Wf[eS(f[a‘ UgdhWe Xad Id9k $ E & aTfS[‘WV Sf *)/ A [‘ fZW dS‘YW aX "W^Ve * fa.* ]EW) %7affa_ bS‘W^& JZW "W^V VWd[hSf[hWe aX fZW _SY‘Wf[eSf[a‘) _‘jkfip.Q_\ k\dg\iXkli\ [\g\e[\ek jljZ\gk‘Y‘c‘kp Zlim\j ]fiPiAp ’ L ) *j\\ d‘[[c\ gXe\c ‘e C‘^. 3+ j_fn jfd\ YifX[]\Xkli\j Xk cfn k\dg\iXkli\j ‘e[‘ZXk‘m\ f] POL Zfii\cX-k‘fej, Ylk k_\ XYj\eZ\ f] j_Xig ]\Xkli\j [fne kf 0.5 H]fi Xep "\c[ [‘i\Zk‘fe jl^^\jkj k_Xk k_\i\ ‘j ef kiXej‘k‘fekf K%\\c fi[\i. Fe ]XZk, fli gi\c‘d‘eXip _\Xk ZXgXZ‘kp Xe[e\lkife jZXkk\i‘e^ d\Xjli\d\ekj fe k_‘j Zfdgfle[ ’+" _Xm\ i\m\Xc\[ k_\ cXZb f] IOL [fne kf 20 dH. PlZ_ XgifefleZ\[ [‘jgXi‘kp Y\kn\\e k_\ fi[\i‘e^ k\dg\iXkli\jf] ‘jfjkilZkliXc iXi\-\Xik_ Zfdgfle[j ‘j iXi\ \m\e Xdfe^k_\ _‘^_cp-]iljkiXk\[ jpjk\dj. %"$ ’3/4. ./8/6./6-/ 70 =2/ 5+16/=3<+=376 Q_\ "\c[ [\g\e[\ek dX^e\k‘jXk‘fe * * ( + Xe[ ‘kj[\i‘mXk‘m\ , n‘k_ ( Xggc‘\[ Xcfe^ k_\ - , . Xe[ / Xo\j f] k_\ Pi )2 ’ L ) dXk\i‘Xcj Xi\ j_fne ‘e C‘^li\j 4,5 Xe[ 6. >ck_fl^_ k_\ _‘^_\jk "\c[ d\Xjli\[ nXj 70 bL\,n\ c‘d‘k k_\ "\c[ iXe^\ ‘e C‘^li\j 4-6 kf 40 bL\, Xj XYfm\k_‘j "\c[ k_\ dX^e\k‘jXk‘fe Zlim\j cffb iXk_\i ]\Xkli\-c\jj. Kf Zfdgc\k\ jXkliXk‘fe f] dX^e\k‘jXk‘fe ‘j fYj\im\[Xk Xep k\dg\iXkli\ ‘e Xep f] k_\ Zfdgfle[j jkl[‘\[, Xjk_\ mXcl\j i\dX‘e efeq\if \m\e Xk 70 bL\. Q_‘j‘dgc‘\j k_Xk k_\ jg‘ej Xi\ jk‘cc efk ]lccp Xc‘^e\[ Xk k_‘j"\c[ r X i\jlck n_‘Z_ ‘j efk jligi‘j‘e^ ^‘m\e k_\ ]XZkk_Xk k_\ fYj\im\[ mXcl\j f] dX^e\k‘jXk‘fe i\dX‘e dlZ_cfn\i k_Xe \og\Zk\[ ]ifd Ele[)j ilc\j gi\[‘Zk‘fej ]fiBi ( , Ap ( Xe[ Ef ( ‘fej Xe[ Xcjf k_Xk ]fi fe\ f] k_\Zfdgfle[j, PiBi ’ L ) , ef jXkliXk‘fe _Xj Y\\e ]fle[ Xk , = 1 % ’(" .) FZke) IaU) @b‘) /400 1-1.23 SrHo O T = 0.5 K H || aH || bH || c M ( (cid:181) B / H o + ) d M / d H ( (cid:181) B / H o + k O e ) H (kOe) SrHo O T = 2.0 K H (kOe) /65" )" %8a^agd a‘^[‘W& %Jab bS‘W^e& <[W^V(VWbW‘VW‘f _SY‘Wf[eSf[a‘ UgdhWe Xad Id>a $ E & aTfS[‘WV Sf *)/ A %^WXf& S‘V ,)* A %d[YZf& [‘fZW dS‘YW aX "W^Ve * fa .* ]EW) %7affa_ bS‘W^e& JZW "W^V VWd[hSf[hWe aX fZW _SY‘Wf[eSf[a‘ Sf *)/ A %^WXf& S‘V ,)* A %d[YZf&) Fe PiBi ’ L ) , Xk 0.5 H *j\\ C‘^. 4+ Xe \Xjp-gcXe\Xe‘jfkifgp ZXe Y\ j\\e, n‘k_ dlck‘gc\ Zifjj‘e^ gf‘ekj ‘ek_\ dX^e\k‘jXk‘fe d\Xjli\[ ]fi k_\ "\c[ Xggc‘\[ Xcfe^k_\ - Xe[ / Xo\j. Q_\ . Xo‘j ‘j Zc\Xicp k_\ _Xi[ [‘i\Z-k‘fe ]fi dX^e\k‘jXk‘fe Xe[ k_\ ]fi X "\c[ Xg-gc‘\[ Xcfe^ k_‘j [‘i\Zk‘fe i\dX‘ej jdXcc Xe[ e\Xicp -/ gcXe\ ‘j, _fn\m\i, dlZ_ dfi\ \m\ek]lc.Cfi ( - , Xe ‘e‘k‘Xc jk\\g i‘j\ ‘e dX^e\k‘jXk‘fe n‘k_X dXo‘dld ‘e Xk ( ( & ! j_fn‘e^ X d‘e‘dldXk ! Xk ( ( ’ ! % ( ( & Xe[ ( ( ’ ‘j 1.5 / , n_‘Z_ \hlXk\j kf ifl^_cp X k_‘i[f] k_\ mXcl\ fYj\im\[ XYfm\ ( ( ’ . Q_‘j ‘j X Zc\Xi j‘^e f]X "\c[ ‘e[lZ\[ jkXY‘c‘jXk‘fe f] X Zfcc‘e\Xi dX^e\k‘ZjkilZkli\, ‘e n_‘Z_ knf jg‘ej fe \XZ_ ki‘Xe^c\ Xi\ gf‘ek-‘e^ lg Xcfe^ k_\ "\c[ n‘k_ k_\ k_‘i[ jg‘e gf‘ek‘e^ [fneXek‘gXiXcc\c kf k_\ "\c[ [‘i\Zk‘fe. ’,$ ’-" @fdgXi\[ kf k_\ , = 1 % ’(" k_\fYj\im\[ dXo‘dX ‘e k_\ Zlim\j Xk , = 0 % mXcl\ ]fi ( ( & & ( & ( ( ’ ‘j \og\Zk\[. Fk nflc[ Y\ ‘ek\i\jk‘e^ kfZ_\Zb n_\k_\i k_\ d‘e‘dld ‘e n‘cc \!\Zk‘m\cpi\XZ_ q\if Xk , " , $ fi n_\k_\i ‘k n‘cc i\dX‘e "e‘k\ [l\kf k_\ gi\j\eZ\ f] knf ‘e[\g\e[\ek dX^e\k‘Z jkilZkli\j‘e PiBi ’ L ) .Cfi ( / k_\ dX^e\k‘jXk‘fe gifZ\jj ‘e PiBi ’ L ) ‘j Z_Xi-XZk\i‘j\[ Yp X j‘e^c\ kiXej‘k‘fe Xk ( ( ! % . Q_\ eX- kli\ f] k_‘j "\c[-‘e[lZ\[ kiXej‘k‘fe i\dX‘ej lebefne Xkgi\j\ek.Fe PiAp ’ L ) , k_\ "\c[-[\g\e[\ek dX^e\k‘jXk‘fe Zlim\jXk 0.5 H *j\\ C‘^. 5+ Xcjf j_fn dlck‘gc\ Zifjj‘e^ gf‘ekjXe[ cXZb f] ]lcc jXkliXk‘fe ‘e _‘^_ "\c[j. @fdgXi\[ kfPiBi ’ L ) , X dlZ_ dfi\ gifefleZ\[ Xe[ \ok\e[\[ gcXk\Xl‘e dX^e\k‘jXk‘fe ‘j j\\e Y\kn\\e ( ( & ! % ( ( ’ ! % . Xo‘j. Q_\Xm\iX^\ dX^e\k‘jXk‘fe mXcl\ fe k_\ gcXk\Xl f] 2.1 / ‘jX^X‘e Xggifo‘dXk\cp X k_‘i[ f] k_\ mXcl\ fYj\im\[ aljkXYfm\ ( ( ’ , aljk‘]p‘e^ X ZcX‘d ]fi k_\ jkXY‘c‘jXk‘fe f] X jkXk\. Q_\ [\i‘mXk‘m\ f] dX^e\k‘jXk‘fe ]fi X "\c[ Xg-gc‘\[ Xcfe^ k_\ _Xi[ - Xo‘j i\dX‘ej Xcdfjk ( / k_\ dX^e\k‘jXk‘fe gifZ\jj ‘e PiAp ’ L ) ‘j[fd‘eXk\[ Yp X kiXej‘k‘fe Xk ( ( !
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