Figure; Part of a D-NMR-rotation pat- tern;fl *& kOe, rot.axis [Olli C330X- CJ302 CRITICAL AND HIGH-TOHPERATURE SPIN RELAXATION IN TOO INTERACTION OP LIOHT WITH THE SPIN SYSTEM AT THE. 3-DIMESSIONAL AND TWO PLANAR FERROHAGNETS FERROMAGNETIC RESONANCE IN KjCuP,, A.5. BOROVTK-P.OKANOV, V.C. JOTIKOV, U.K. KREIHE5 and W.L.C.ROTTEN and J.C.VERSTELLE, Kamerlingh Onnes Laboratory. V. ZAVARITSKII, Institute for Physical Problems, Academy ' University of Leiden. The Netherlands of Sciences, Moscow, USSR, and R. LAIHO. W!huri Physical Laboratory, University -.r Several theoretical predictions have been made for the cri- Turku, Turku, Finland tical part of the uniform relaxation rate (or characteristic fre- quency, linewidth) in lero static field in [erramagnets (Kawasaki. Ferromacneti c resonance was excited in K-^'uF^ and irive3tif-r- Haleev, Huber, ds Baas). Unfortunately, most experiments up till teelow catai-atii i
Cu(NH4)2Br4.2H20 (3-dimensional ferromagnets) and the planar fer-
romaonets CulCB3KR3>2Cl4 and CulCjHjSHjljCl^ . They have been in- vestigated in the easy direction as well as in next preferred axis and hard direction. The entire temperature range from
TQ - 300K was covered, which revealed the absence of a constant high-temperature rate in all the compounds. Also a parallel static field up *.o 35 kOe was applied. All data are ahape inde- pendent by incorporation of denagnetizing effects. To be as accu- rate as possible, we used oar own Btatic susceptibility measure- ments, performed on the same samples. All the compounds show 7/3 a approximately the theoretical c" dependence of (X r*r)crlt , with a - x,y,2 , in the "exchange region". For in > 1 In the o planar salts (X r£r> becomes constant, while in CuKb and CuNH4 an e~Z^3 behaviour can be observed (the "Dl" region of Maleev /!/) and ultimately a constant value at about e = .001 CADI" region). In all the compounds anti-symmetric exchange is possible. He discuss the influence on the relaxation especially at "very" high temperatures.
1. Haleev,S.V. Sov. Phys. - JSTP, Vol. 42, No. 4, p. 713.
4 C3303 C3301 FSEBDlUaiBTIC BBSOBiSCB LIBS BDMBSIBG HI CUBIC HVESTKUTIOB OF HEIACOHAi FEHHITBS NigScW EX FMR ISBBOMaQBSTICS DOS 3D SOUIH STBUCHIRE METHOD THROUGHOUT TEE TEHPEEATUHS RANGE 300-*,at V.7.D1HIL0V, I.T.ZATIStTJg. and T.I.SUGADV, Eler State T.I.IVABOVA, L.X.KOLFAKOVA, I.I.PBTROVA, T.l.SMIRKOVA and Dooiversitj, liar 253)17, OSES. H.T.CHEKP.AK, Institute or RadiophyBica and SlectronicB sf the Ukrainian Academy of Sciences, Kharkov JIOO85, BSSR •» MchaniBB of lerromagnetic rawstnca lisa broadening is proposed for fenoaagBetica with periodic doaaln atructare. The Establishment of interrelation between the magnetic ciya- aotmnifnTltj of '• staple ugnetizatlon due to domals atruettire tallographyc aniBotropy, spin regulation and cation distribution 1* aboan to onu tkc alxins of uniform pnusaian with apm in such complex ferromagnetics aa hexagonal ferrites is an Im- •an at l-^p-. wbar* n is an iotagtr, Ztt is the period portant problem in studying of magnetic interaction nature. It is of doBain structure. Ibis aixiag xaaolta in the exultation of possible to affect exchange interaction ky dimensional change of
not onlj nalfoim aoda but also of associated spin ware* at unit cell or by its deformation. In the Bi2W syBtem this wae per- saaxlT tne eaaa frequracj tgr aeans of onifoxa u.h.f. wagmtie formed by injection of So cations which have the large ionic ra-
f laid. Xharef oxa tba lisa of unif on» aode should ham jaaks dius ( zt =0.83 i) /i/. eoixaapoBUaK to tha axeltatian of spin wans propagating aloBB A new system of BaBipSo tba sxtanal da aagnatic field with 4-^L . Q, irtensitj Fa^g^O^n compounds with zs0*2 of tha paaka is the lower tba anra aoT» tnalr fxagonwlaa away was investigated by FUR method in fzom thoaa of tba tmtfozai aoda. In real a/ateas tha peaks axe the temperature range 300-4,2 K. apzaad Ana to aoaldaal doaain nhruetiira and tba presence of Anisotrofy field Ha, intensity and nViaaina lead* to unlfoza prasasaiun lisa teoadamng. linewidth of FME ware measured on in the work the valna of tba fasmaagaatie raaonaaoa lisa ths polyerystallle spheres broadening of b.f.' uniform and* [i, 2] is conaUezad fox cable $< 0.7 ran with a high degree of ferromagnetics with negative aMsatrasT depending on doaain texture within the range 30 to 70 atrmtura paraaatan. SM lisa hpoadaning dapanda atronglj on OH*, in external field up to 25rOe tba relations tataaau the period of doaain structure, doaaln was produced by a superconductive wall thiekneaa and tba value of spin war* factor. IS 2.0 X magnet with the ferromagnetic Ihe numerical estimation* of tha broadening are prasasted. In tha Jig. ths dependence Ba on 3c3* ion concentration la 1. Artmaa, 3. Phjs.Hav., jD5, 6a (I957i. given for temperatures J00 K and 4,2 K. Anomalous behaviour of 2. Etror, C.I., PilshonlioT, 1.1., Syrjev, H,S. fis.Trerd.Tola, Ba at a large diamagnatlo dilution (x> 1,2) ia causad by distur- 16, 3051 CI97*). bance of tha eolllnaar apln regulation due to reduction of tha 5 indirect erohange Interaction *fTi-Z*-«fTl whan "a * iona is sub- stituted by 3
I. Si«ov,H.A., Orom»ln,D.E., ZaItoev,K.»,, Ivanova.V.I. Zh. Bksp. fcor.wia. 66, 2195 W975). V
C330S " " '-' C3306 GEBXRALUBD WICK'S THEOREM (OS SFII 0H81T0RS ISO BWBCT or IOIS WITH MHORITX VAUJTCE OI MAMITIC ABISOTBOPY AID REXAIATIOI ITS 1PPLIOAIIOI3 TO THE THEORY 07 MAMMISH A.0.6UHBVICH. L.U.BCmH, K.O.sIKIMROV and A.N.ANISIMOV, Y.p.amSHHIKOT. Institute of Metal Inysios Academy of Seiencaa A.J.Ioffa Physico-Teohnical Institute, Academy of Seienoes or the USSR. Svardlovek 620219. 0 3 S B. USSR, Leningrad 194021, USSR A aet of quantum langavin equations for tbt Fourier compo- The role of "fast-relaxing" ions governing magnetic aniso- nent a of apln density of a magnetic sjateit Is derived via the tropy and dissipation of magnetic osoUlstlon snd spin wavss in uonequilibrium statistical operator technique in the fora out- •form- or farrfjugnsts can bs played by Ions of the same slexnnts lined In /1/. The formal solution of theae eqa oonaista of two that form the main magnetic systsm but with another (minority) terms, the first of which describee the evolution of the spin valence. The riss of nuoh ions can be stlmulatsd by doping with operatore according to macroscopic law whereaa the second cor- some other (e.g. nonmagnetic) ions or by vaoanoea. The peculiari- responds to the fluctuations of the true nechanioel trajectory ty of this case is that the interaction between these ions and with reapect to the macroscopic notion of nonequilibrlum average the ions of main magnetic system or the stimulating centres can density of spins. The nacrosoopic notion results from the repla- result in complicated M-ture of the effective centres governing cement of the exact mechanical resolvent operator by the matrix magnetic anisotropy and relaxation. Green function /2/ of a sst of coupled linesr equations deecrl- Experimental data are presentsd on the influence of cr ions bing the aimultsneoua relaxation toward equilibrium of the spin with minority valences 2 and 4 on the ferromagnetic resonance in averages. Thio representation leads to tht perturbation theory CdCr.Ss, and CdCr-S, crystals as wall ss on ths damping of spin for ths aultispin time correlation functions in which the tero- wavss with wava numbers k . 10* - 106 cm"1 determined fcy measu- order approximation lnvolvea the maoroacoplc motion of spins only ring the thresholds of parametric excitation of epin wavos. and the dynamics of spin psir correlations (unknown generally) Cr2+ ions appsar dus to ohalcogsn vaosnosa In CdCr^Ss^ or accounted rigorously. In such B way one can evaluate apin corre- CdCr2S, or due to the doping of these crystals with trivalant lation functions approximately in terms of the exact spectrum of lona (e.g. 0d3+) substituting for Cd2*. These Ions result in the the spin exitatlona which depends on the temperature or, in morn angular and temperature dependences of the field for resonance general caaef on the set of nonequilibrium oacroverlables descri- K and resonance linewidth AH consistent with the theory of bing the state of a system. The zero-order approximation, la "slow relaxation11. Cr*+ ions that an stimulated by. the doping which stochastic forces In the right hand side of the langevln with monovalent ions (e.g. Ag+) give rise, In the case of ' equations are neglected, is considered in detail! and its connec- CdCr-Ss., to HM> and AH angular and temperature depemdeacea tion with the mode-mode coupling theory is shown. In ths ssme ap- also consistent with slow-relaxation aeohaniam but with tha near proximation a simple procedure /3/ is developed for calculation crossings of lowsst energy levels in another direct lone. However of the multiapin correlators in terms of the spin pair Green fun- in the case of CdCrjS. some peculiarities have bsen observed: ction spectrum (generalised wick's theorem). The results are AH maxima not acoompanisd by maxima in Hni and anomalously applied to the description of tne dynamic behaviour of the Eai- ateep AH temperature dependences. senberg ferromagnat and the s-d system. Ths raat-relaiing Ions with minority valence (as wsl_V as the impurity fast-relaxing ions) lssA to she spin-wave aampinf 1. Zubarev, D.H. and Kalssbnlkov, V.;. Teor.aat.piz. 3, 126 (1970). that depends weakly on k up to sons'k values (of the order 10r 2. Hori, H. Progr. Thsor. Bhys. 33, 423 (1965), 34, 399 (1965)- cm"1) snd then begins to grow rapidly. 3. Kalaahnikov, V.p. Doka.Aksd.Nauk 3S5R, 239, n 5 (1978).
C3307 0 jL^,- CJ308 QUANTITATIVE ANALYSIS OF HAGNETOSTATIC EXCITATIONS IN THE ' EPR STUDY OF SOIE FERRIHAGNETIC CONFOUNDS CUC1 FERROMAGNETIC LAYER COMPOUND (CJHJHHJ) 2 4 - r>, HAGDA BALANESCD and I.DRSD, National Center of H.REIHAHM. H.HAGEN. F.HALDNZR and H.AHEHD". Institute of Physics. Physics, P.O.Box 5206, Bucharest, Romania University of zOrich. CH-8001 Zurich, SWITZERLAND
Hagnetostatic modes of an isotropic ferromagnetic plate of infi- He report the results of psrsmsgnetic resonsnoa aassuremsnte
nite extent have been calculated by Dsjeon and Eshbach (OE) /I/ on OdlCo^Nlj.^lj snd GdHlt(s - 3/2, 5/2 and 17/2) compounds .Below
and have been expecimentally verified in TIG , a compound with Curia tempsrstnra, Te, these systems are ferrlmagnetleally ordered.
isotropic g-factor and only a weak cubic magnetic anisotropy. The In GdfCo ni^_x)2 compounds'. Ml Is not magnstlc, vhUt the asenstlc extension of the theory to anisotxopic media ia straightforward moment of cobalt atom Is dependent on the local environment / 1 /. since the DB-foimula, expressed in terms of the permeability tensor The moan magnetic moment of nickel atom in *JNlr system is function only assumes u^.+u.^^o for the off-disgonal elements. However, on ooaposltion / 2 /. By' rseonsnos studies at I » Tc wa analyse ccEipounds with a strong magnetic anisotropy have not been avail- tha Influence of transition metal content on tha g values and on able until the realization of magnetic low dimensional systems. tha linewidth.. ' . Tha effective g values increase with temperature from a mi- we have investigated the layered copper compounds of the chlor- nimum value located at a teapersturen T + 20. The experimental ide perovskite family with conventional ESR-techniques at 4.2 K c data ware analysed using a aodsl where g values arm dependent on and 9 GH2 and found spectra of well resolved magnetostatic modes tha type of atoaa of tha two sublattioas and also on their msgna - /2/. The dispersion equation for a reetangulsr platelet is calcu- tic susceptibilities. lated assuming &H( B) The ggj values increase by increasing tha Co (or magnetic Hi) (1. \ (n,.l) (1) snisotropic permeabilities with content. The presence of Co (or Ml atoms breaks the bottensck essy-plsne snisotropy field H •20 a between the conduction electrons and the lattice, providing a path and the measured uniaxial g-ten- where tha conduction electron magnetisation can relax to the lat - 1 sor of the paramagnetic state, tics. The influence of the variable magnetic Interactions on f^ .10 (2) geometrical quantization of the values Is also discussed. The thermal varlaMon of the linewidth in-plane wavevector. ir In agreement with the present mote-. ; The figure ehows the fit of a spectrum measured with the 21 11 1 11 21 31 applied magnetic field parallel 1. E.Burso, D.P.Lailr and H.vlleenu, Phys.stat.Solidl (b) (5, Mode separation va. quantization to the surface. The resulting* KU5 (1974).
psrameters Hg (magnetization) snd Ha are in agreement with other 2. i.Burso and j.Laformst, C.R.Acaa.Scl.Paris , 274B, 114 (1972). measurements, but we emphasize ths fact that the procedure to eliminate the anisotropic g-factor using modifisd fislds is not an alternative treatment.
/I/ R.H.Damon and J.B.Einbach, J.Phys.Chsm.Solidr 19.(61)309 . /2/ B.Reimsnn, H.BSgen, F.Waldner, W.Berlingsr and H.Arend. Solid state communications 17.(75)1319 V
C3309 C3310 ROTAMSG SAMPLE METHOD OSES HI IERROKAGBETIC Kagnetit.- Resonance In Hickei at High Temperatures. HBSOHAHCB BXPBRIHEHT OS FEHRITE SIHGLE CRYSTALS S. Haraldson and L. Pettersson, Dept. of solid state physics. J.K01OTM,T.ChsjlaB University, Faculty of Mathematics and University of Uppsala, Sweden. Physics, Department of Physics of Metals, Prague, CSSB
1 spherical sample situated la microwave spectrometer with An experimental setup Is described, by which If. 1s possible to high-frequency modulation rotates uniformly about the /110/ heat the sample without heating the cavity. The temperature of direction at the rate of the order of one revolution per minute. the sample is measured during the run of the spectrum. It is The axla of rotation of the sample holder is perpendicular to possible to reach a sample temperature of at least BOO °c with- the magnetic field. The detected sigmJ. is proportional to the first derivative of the absorption curve. The described method out appreciable warming tip of the cavity- can be used for a dlxect measurement of the extreme Talue of the He have used this setup to investigate the resonance at 9.3 GHz resonance magnetic field corresponding to the dependence of in nickel In the temperature Interval 300 - 450 °C. The line- this quantity on the azimuth of the sample in the (110) plane, width appears to have a maximum at around 3"/5 °C. Move this the method Is cased on the Interpretation of the shape of the temperature the linewidth decreases, but not very steeply, and detection curve whose periodical ohancter is a direct consequence reaches a minimum, after which the linewidth stays constant or. ol :£; zct^l^n ana who*' shape depends on the magnetic field. possibly. Increases very slowly. 1,' f- The measurements carries ;