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Order parameter: T, P, M Lower symmetry Phase Transition in Ferroics Ferro Para T C Higher symmetry T
Symmetry Properties: Ferroics Symmetry of the field breaking symmetry of the high-T phase 1: identity, : inversion, 1’: time reversal, : Inv*TR For a material to be a ferroic of given type, its symmetry group can not include the corresponding symmetries ε P M T
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: Symmetry Properties: Ferroics The f
Page 11 and 12: Ferroelectric BaTiO 3 Ba Ti O High
Page 13 and 14: (1) Polarization Tetragonal Tempera
Page 15 and 16: Why PZT is one of the best ferroele
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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