Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strain-Induced Magnetic Anisotropy in Epitaxial Thin Films of the Spinel
  CoCr$_2$O$_4$   We show that the magnetic anisotropy in spinel-structure CoCr$_2$O$_4$ thin
films exhibits a strain dependence in which compressive strain induces an
out-of-plane magnetic easy axis and tensile strain an in-plane easy axis,
exactly opposite to the behavior reported for the related compound
CoFe$_2$O$_4$. We use density functional theory calculations within the LSDA+U
approximation to reproduce and explain the observed behavior. Using
second-order perturbation theory, we analyse the anisotropy tensor of the
Co$^{2+}$ ions in both octahedral and tetrahedral coordination, allowing us to
extend our results to spinels with general arrangements of Co$^{2+}$ ions.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex