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Dynamic Phase Separation in Manganites. Luis Ghivelder IF/UFRJ – Rio de Janeiro Francisco Parisi CNEA – Buenos Aires. Where was this research carried out ?. Low Temperatures Laboratory, Physics Institute Federal University of Rio de Janeiro. Extraction Magnetometer - 9 T PPMS.
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Dynamic Phase Separation in Manganites Luis Ghivelder IF/UFRJ – Rio de Janeiro Francisco Parisi CNEA – Buenos Aires
Where was this research carried out ? Low Temperatures Laboratory, Physics Institute Federal University of Rio de Janeiro
Extraction Magnetometer - 9 T PPMS VSM – 14 T SQUID - 6 T Cryogenics
CMR Why are manganites so interesting ? Started with Colossal Magnetoresistance
5/8 3/8 4/8 x = 1/8 7/8 CO Temperature (K) FM FI CAF AF CAF CO 0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Ca x Complexity in Manganites: Phase Diagram of La1-xCaxMnO3
eg t2g Mn4+ Mn3+ Main ingredient for understanding the Manganites competition between Ferromagnetic metallic Antiferromagnetic Charge ordered insulating and Phase Separation (PS) Micrometer or Nanometer scale
FM AFM-CO metallic insulating H H = 0 CMR Qualitative (naïve) picture Phase Separation
Prototype compound for studying Phase Separation in manganites La5/8-xPrxCa3/8MnO3
TB TC PM FM AFM-CO CO x = 0.4 La0.225Pr0.40Ca0.375MnO3 FCC curve mostly FM at low temperatures ZFC curve metastable frozen state at low temperatures Blocking temperature TC TCO TN Magnetic Glass
Dynamics of the phase separated state Relaxation measurements
ZFC Relaxation Magnetic Viscosity S(T)
evolution is described in terms of a single variable Collective behavior Hierarchical dynamic evolution most probable event happens before the lesser probable one Phenomenological model Time evolution through a hierarchy of energy barriers, which separates the coexisting phases
Proportional to the Magnetization Normalized FM fraction Conventional activated dynamic functional with state-dependent energy barriers. Diverging energy barriers Arrhenius-likeactivation Equilibrium FM fraction
Solid line: numerical simulation until Linear from Numerical simulation
Melting of the AFM-CO state Homogeneous and irreversible FM state Metamagnetic transition Alignment of the small FM fraction
T = 2.5 K Abrupt field-induced transition at low temperatures Avalanche, Jumps, Steps At very low temperatures Ultrasharp metamagnetic transition
H = 23.6 kOe enlarged view H = 24.0 kOe H = 23.8 kOe H = 23.6 kOe Magnetization jumps Relaxation
Spontaneous metamagnetic transition H = 23.6 kOe
Open Questions Why it only happens at very low temperatures ? What causes these magnetization jumps ? Martensitic scenario vs. Thermodynamical effect
k Magnetocaloric effect Huge sample temperature rise at the magnetization jump heat generated when the non-FM fraction of the material is converted to the FM phase
T = 6 K Nd based manganite La5/8-xNdxCa3/8MnO3, x = 0.5 T = 2.5 K
Our model Microscopic mechanisms promote locally a FM volume increase, which yield a local temperature rise, and trigger the avalanche process. The entity which is propagated is heat, not magnetic domain walls, so the roles of grain boundaries or strains which exist between the coexisting phases are less relevant PS and frozen metastable states are essential ingredients for the magnetization jumps
Constructing a ZFC phase diagram M vs. T M vs. H
FM homogeneous PS AFM-CO PS frozen dynamic H-T phase diagram
A different compound, with PS at intermediate temperatures x = 0.3 La0.325Pr0.30Ca0.375MnO3 data by M. Quintero
Summary ZFC process in phase separated manganites: Quenched disorder leads to the formation of inhomogeneous metastable states Dynamic nature of the phase separated state: Large relaxation effects are observed in a certain temperature window Equilibrium ground state is not reached in laboratory time