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Three-dimensional magnetization process in HoFe 11 Ti. Yuri Janssen, J.C.P. Klaasse, E. Br ü ck, F.R. de Boer, K.H.J. Buschow, J. Kamar á d 1 , N.V. Kudrevatykh 2. I. M. II. B. 1: Institute of Physics, Praha 2: Institute of Physics and Applied Mathematics, Ekaterinburg. Outline
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Three-dimensional magnetization process in HoFe11Ti Yuri Janssen, J.C.P. Klaasse, E. Brück, F.R. de Boer, K.H.J. Buschow, J. Kamarád1, N.V. Kudrevatykh2 I M II B 1: Institute of Physics, Praha 2: Institute of Physics and Applied Mathematics, Ekaterinburg
Outline • Introduction • Experiment • Results • Conclusion
Research of rare-earth (R) – transition-metal(T) compounds Modern permanent magnets: - SmCo5 (1960s) - Nd2Fe14B (1984) - RFe11Ti (1990s) Requirements: - large magnetization - high ordering temperature - high coercivity large magnetocrystalline anistropy
Magnetic R-T coupling essential for coupling between: - large magnetization (T) - high anisotropy (R) Hund’s rules ==> Light-R (Nd, Sm) – T : parallel coupling => ferromagnets Heavy-R (Gd, ..Ho, Tm) – T : antiparallel coupling => ferrimagnets MR MT M MR MT M
HoFe11Ti Tetragonal crystal structure: ThMn12-type(s.g. I4/mmm) Ti stabilizes crystal structure [001] [100] [010]
HoFe11Ti: R-T coupling strong! Ho and Fe sublattice moments remain antiparallel B MFe = 20 mB/f.u. M = 10 mB/f.u. [001] [001] MHo = 10 mB/f.u.
Strong coupling HoFe11Ti excellent system for research on magnetocrystalline anisotropy HoFe11Ti: easy-axis system ( M // [001] ) Tetragonal structure Eanisotropy = K1sin2q + K2 sin4q + K3 sin6q + K4 sin4qcos4f + K5sin6qcos4f [001] q Ho has large orbital momentum ==> at low temperature, higher order K play a role [010] f [100]
Magnetic free energy determines equilibrium magnetization F = Eanisotropy + EZeeman = Eanisotropy- B.M Only K1 Higher order K
Outline • Introduction • Experiment • Results • Conclusion
MS Bdem ~ 0.3 T Magnetization B // main directions Magnetic-phase transition when field in plane Different in-plane results! K4, K5 important
HoFe11Ti : possible 3D-process 3D magnetometry (SQUID, high-field magnet) Requirements: - Pickup coils in three directions - Sample single domain (homogeneous magnetization)
Sample single domain: projection of B on [001] Choose y[001] = 75° single domain when B ~ 1.1 T
Magnetization for B in (110) plane MS sin 75 Above 1.1 T, sample single domain Transition occurs above 1.1 T
Magnetization for B in (100) plane MS sin 73 Above 1.1 T, sample single domain Transition occurs above 1.1 T
Measurement configuration Mz // B Mx near [001] My Mx Mz After measurement: project Mx, My, Mz on [100], [010], [001]
Outline • Introduction • Experiment • Results • Conclusion
Magnetization for B in (110) plane My nearly zero Conclusion: 2D process
Magnetization for B in (110) plane Projection on crystal axes Magnetization for [100] and [010] equal, as expected
Magnetization for B in (100) plane My becomes non-zero! 3D process
Magnetization for B in (100) plane Projection on crystal axes B in (100) plane: 3D process
Transition: first-order (follows from coexistence) Outlook: mechanism for coexistence ? microscopy
Calculations based on anisotropy parameters* B = 3 T B in (110) plane 2D process First order B = 4 T Abadìa et al., J. Phys.:Condens. Matter 10 (1998), 349 Calculations: M.-H. Yu
B = 5 T B in (100) plane 3D process First order B = 6 T
Conclusions: • At the magnetic phase transition, • a 3D magnetization process occurs • - This phase transition is first order
Some combinations of K1, K2, K3 (..K4, K5) ==> local minima in magnetic energy as a function of angle with [001] ==> First order magnetization process (FOMP)* M [001] M // [001] * Asti and Bolzoni, J. Magn. Magn. Mater. 20 (1980), 29