Dielectric Properties in TbFeO<sub>3</sub>Ceramics

Zhou, Yun; Ye, Youxiang; Wang, Jianfeng; Jiao, Zhiwei; Zhang, Jingji; Gao, Tian

doi:10.1080/00150193.2015.1071643

Cited by 3 publications

(3 citation statements)

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“…This is based on some result of Gabber-Ramero in [GR03]. Our exposition below follow the treatment in [Bou17] and [Yun15b].…”

Section: Hence Part (D) Follows From Part (C)mentioning

confidence: 96%

“…Later when proving equi-dimansionality of Kottwitz-Viehmann varieties, we will need the transversality theorem of Bouthier in [Bou17], where it was shown that the singularities of certain open substack of restricted Hitchin-Frenkel-Ngô moduli stack are the same as some closed Schubert varieties in the affine Grassmanian. The method of Bouthier was later simplified by Yun in [Yun15b]. In [Bou17] and [Yun15b] it is assumed that the group is simply-connected but the argument works without this assumption.…”

Section: Therefore the Codimension Ofmentioning

confidence: 99%

“…The method of Bouthier was later simplified by Yun in [Yun15b]. In [Bou17] and [Yun15b] it is assumed that the group is simply-connected but the argument works without this assumption. For the reader's convenience we review this result following [Yun15b].…”

Section: Therefore the Codimension Ofmentioning

confidence: 99%

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Geometry of Kottwitz–viehmann Varieties

Chi¹

2019

J. Inst. Math. Jussieu

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We study basic geometric properties of Kottwitz-Viehmann varieties, which are certain generalizations of affine Springer fibers that encode orbital integrals of spherical Hecke functions. Based on previous work of A. Bouthier and the author, we show that these varieties are equidimensional and give a precise formula for their dimension. Also we give a conjectural description of their number of irreducible components in terms of certain weight multiplicities of the Langlands dual group and we prove the conjecture in the case of unramified conjugacy class.Contents 2.2.2. Our approach in this part follows a suggestion of Xinwen Zhu. For any subset J ⊂ ∆, denote, the center of the Levi L J c acts diagonally on the product. There is a canonical mapThe element w ∈ J c W J c corresponds to the G-orbit of (ẇ, 1) for any representativeẇ of w in G. We denote this G-orbit by Y ∅,J,w and let X ∅,J,w be its inverse image under π ∅,J . Then we haveProof. First suppose X ∅,J,w ⊂ N . Then in particularẇe ∅,J ∈ N . Recall that the idempotent e ∅,J acts as projector to highest weight space in the representation V ωi if i ∈ J and acts by 0 if i / ∈ J. If there exists j ∈ J but j / ∈ Supp(w), then ρ ωj (ẇ) preserves the highest weight space in V ωj and hence Tr(ρ ωj (ẇe ∅,J )) = 0, contradiction the assumption thatẇe ∅,J ∈ N .Conversely, then by a standard result in root system we have w(ω i ) = ω i (see, for example [HT06, Lemma 3.5]). Thus we have Tr(ρ ωi (x)) = 0 as t ∈ T preserve the weight spaces andẇ maps the highest weight space into the weight space with weight w(ω i ). Thus x ∈ N . Corollary 2.2.4. (a) There is a stratification of N into Ad(G)-stable pieces N = J⊂∆ w∈ J c W J c Supp(w)⊃J

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“…This is based on some result of Gabber-Ramero in [GR03]. Our exposition below follow the treatment in [Bou17] and [Yun15b].…”

Section: Hence Part (D) Follows From Part (C)mentioning

confidence: 96%

Section: Therefore the Codimension Ofmentioning

confidence: 99%

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Geometry of Kottwitz–viehmann Varieties

Chi¹

2019

J. Inst. Math. Jussieu

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TbFeO₃ Ceramic: An Exciting Colossal Dielectric with Ferroelectric Properties

Gupta

Mahapatra

Choudhary

2019

Physica Status Solidi (b)

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Herein, the structural and electrical properties of TbFeO3 ceramic, prepared by the conventional mixed‐oxide reaction method are investigated. The compound crystallizes in an orthorhombic crystal system. The multiple valence states of Tb and Fe in the compound are confirmed by X‐ray photoelectron spectroscopy. An exciting broad dielectric peak at around 160 °C with a peak value of 48 800 at 100 Hz is observed, whose origin seems to be intrinsic in nature and is based on the coexistence of multiple valence states of Tb, due to the use of Tb4O7 as the precursor material. A hysteresis loop is recorded at various temperature points from the ferroelectric to paraelectric transition at the temperature corresponding to the peak of the observed dielectric anomaly. The loss tangent is resolved to identify contributions from the Debye‐type relaxation for both grain and grain boundary effects and that of DC conductivity. The conduction mechanism associated with grain and grain boundary is explained using different models.

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