Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay of octahedral rotations and breathing distortions in charge
  ordering perovskite oxides   We investigate the structure--property relationships in $AB$O$_3$ perovskites
exhibiting octahedral rotations and cooperative octahedral breathing
distortions (CBD) using group theoretical methods. Rotations of octahedra are
ubiquitous in the perovskite family, while the appearance of breathing
distortions -- oxygen displacement patterns that lead to approximately uniform
dilation and contraction of the $B$O$_6$ octahedra -- are rarer in compositions
with a single, chemically unique $B$-site. The presence of a CBD relies on
electronic instabilities of the $B$-site cations, either orbital degeneracies
or valence-state fluctuations, and often appear concomitant with charge order
metal--insulator transitions or $B$-site cation ordering. We enumerate the
structural variants obtained from rotational and breathing lattice modes and
formulate a general Landau functional describing their interaction. We use this
information and combine it with statistical correlation techniques to evaluate
the role of atomic scale distortions on the critical temperatures in
representative charge ordering nickelate and bismuthate perovskites. Our
results provide new microscopic insights into the underlying
structure--property interactions across electronic and magnetic phase
boundaries, suggesting plausible routes to tailor the behavior of functional
oxides by design.

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The categories of this paper are: math
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The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cs