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Volumn 79, Issue 5, 2009, Pages

Ferromagnetism and lattice distortions in the perovskite YTiO3

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EID: 62549138825     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.054431     Document Type: Article
Times cited : (40)

References (51)
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    • Well below the ordering temperature, ungapped ferromagnetic spin waves should lead to a Td contribution to the specific heat and thermal expansion, while ungapped antiferromagnetic spin waves should lead to a Td/2 contribution (d is the dimensionality of exchange). If there were the two kinds of branches in the low-energy excitations (strong ferromagnetic and weak antiferromagnetic-like spin waves), then two kinds of contributions should be present in both the specific heat and thermal expansion. In this case, the ferromagnetic contribution should dominate the specific heat because it has a higher intensity. Since the thermal expansion is related to the pressure dependence of the entropy, it is dominated by the most pressure-dependent energy scales. This means that weak antiferromagneticlike spin waves could dominate the low-temperature thermal expansion if they were associated with a strongly pressure-dependent energy scale.
    • Well below the ordering temperature, ungapped ferromagnetic spin waves should lead to a Td contribution to the specific heat and thermal expansion, while ungapped antiferromagnetic spin waves should lead to a Td/2 contribution (d is the dimensionality of exchange). If there were the two kinds of branches in the low-energy excitations (strong ferromagnetic and weak antiferromagnetic-like spin waves), then two kinds of contributions should be present in both the specific heat and thermal expansion. In this case, the ferromagnetic contribution should dominate the specific heat because it has a higher intensity. Since the thermal expansion is related to the pressure dependence of the entropy, it is dominated by the most pressure-dependent energy scales. This means that weak antiferromagneticlike spin waves could dominate the low-temperature thermal expansion if they were associated with a strongly pressure-dependent energy scale.
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    • In a limit with no domain effect and with H→0, Eq. 1 implies that M= (TC -T) β for T< TC and χ= (T- TC) -γ for T> TC.
    • In a limit with no domain effect and with H→0, Eq. 1 implies that M= (TC -T) β for T< TC and χ= (T- TC) -γ for T> TC.
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    • For symmetry reasons, the thermal expansion coefficient α of a cubic system does not depend on the direction of the measured length L from which it is derived.
    • For symmetry reasons, the thermal expansion coefficient α of a cubic system does not depend on the direction of the measured length L from which it is derived.
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    • In an undistorted perovskite structure, the lattice parameters a, b, and c of the orthorhombic unit cell are related to the lattice parameter a0 of the cubic unit cell by a=b=c/2= a0 2.
    • In an undistorted perovskite structure, the lattice parameters a, b, and c of the orthorhombic unit cell are related to the lattice parameter a0 of the cubic unit cell by a=b=c/2= a0 2.
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    • In YTiO3, elongations by 3% of the octahedra were explained by a Jahn-Teller effect in Refs.. In the non-Jahn-Teller LaFeO3 and YFeO3, but also in LaTiO3, elongations, by about 1%, were reported in Refs. and are presumably consequences from the GdFeO3 -type distortion.
    • In YTiO3, elongations by 3% of the octahedra were explained by a Jahn-Teller effect in Refs.. In the non-Jahn-Teller LaFeO3 and YFeO3, but also in LaTiO3, elongations, by about 1%, were reported in Refs. and are presumably consequences from the GdFeO3 -type distortion.
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    • i= i0 (1+Δ Li / Li) where i=a,b,c [cf. Fig. 2] and where a0 =5.331, b0 =5.672, and c0 =7.602 were extracted from diffraction measurements at room temperature (Ref.).
    • i= i0 (1+Δ Li / Li) where i=a,b,c [cf. Fig. 2] and where a0 =5.331, b0 =5.672, and c0 =7.602 were extracted from diffraction measurements at room temperature (Ref.).


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