Slides - International Centre for Theoretical Sciences

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Landau Theory: Form of the free energy G is completely determined by symmetry. 1 2 P G 2 PP 0 G ε T > T c T = Tc T < Tc P Near a transition, susceptibility diverges: important to technology T c T
Why PZT is one of the best ferroelectrics? T R-FE PE T-FE 0 0.5 1 PbZr (1-x)TixO3 Close to a phase transition at all It helps to be close to T (upto Tc)! a phase transition: large fluctuations > Large response
Page 1 and 2: Functional Materials II: Ferroics a
Page 3 and 4: Ferroics and Multiferroics • Smar
Page 5 and 6: Ferroelastic Material Strain T Eg.
Page 7 and 8: Symmetry Properties: Ferroics The f
Page 9 and 10: Symmetry Properties: Ferroics Symme
Page 11 and 12: Ferroelectric BaTiO 3 Ba Ti O High
Page 13: (1) Polarization Tetragonal Tempera
Page 17 and 18: K α (T-T c) L α (T-T c) 1/2 Diele
Page 19 and 20: Unifying Concept[s] in Materials
Page 21 and 22: Born-Oppenheimer Approximation If I
Page 23 and 24: Energy Function: E total(d i, Z i)=
Page 25 and 26: Generalized Landau Theory: a real f
Page 27 and 28: Order of Phase Transition C6>0 C2>0
Page 29 and 30: Domain wall energies of Ferroelectr
Page 31 and 32: INTRODUCTION (out of 122)
Page 34 and 35: Tetragonal PbTiO 3 & BaTiO 3 Ti Z*x
Page 36 and 37: Mechanisms in multiferroic ((A)FM+F
Page 38 and 39: Chemical origin of FE in BiFeO 3 Wa
Page 40 and 41: InMnO 3, YMnO 3: Improper ferroelec
Page 42 and 43: InMnO 3 • P=19 µC/cm 2 (as obtai
Page 44 and 45: InMnO 3: Response to Strain Main st
Page 46 and 47: Fe 3+ LuFe 2O 4 Fe 2+ Charge Orderi
Page 48 and 49: What is known about multiferroic Bi
Page 50 and 51: Metallic nonmagnetic & ferromagneti
Page 52 and 53: Rotation about the [111] axis opens
Page 54 and 55: Perovskite design by epitaxy • Ar
Page 56 and 57: Polarization (uC/cm2) 80 60 40 20 0
Page 58 and 59: Tetragonal P4mm (P s || [001]) LSDA
Page 60 and 61: Chemical origin of FE in BiFeO 3 Wa
Page 62 and 63: First-principles Determination of S
Page 64 and 65:
Electron Density of States: YCrO 3
Page 66 and 67:
YCrO 3: interaction between Y and O
Page 68 and 69:
Oxygen Vacancies in BaTiO 3 Mangala
Page 70 and 71:
M (emu/g) 4.0x10 -4 3.0x10 -4 2.0x1
Page 72 and 73:
0 % 12 9 6 3 1 kHz 10 kHz 100 kHz 1
Page 74 and 75:
Hunds’ coupling stabilizes FM sta
Page 76 and 77:
Opposite example: BaFeO 3-δ See Po
Page 78 and 79:
La 2NiMnO 6 78
Page 80 and 81:
La 2NiMnO 6: a ferromagnetic insula
Page 82 and 83:
FiM Soft IR-active modes upon chang
Page 84:
SUMMARY • Interesting Physics of
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Slides - International Centre for Theoretical Sciences

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