Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crystal Hall and crystal magneto-optical effect in thin films of
  SrRuO$_3$   Motivated by the recently observed topological Hall effect in ultra-thin
films of SrRuO$_3$ (SRO) grown on SrTiO$_3$ (STO) [001] substrate, we
investigate the magnetic ground state and anomalous Hall response of the SRO
ultra-thin films by virtue of spin density functional theory (DFT). Our
findings reveal that in the monolayer limit of an SRO film, a large energy
splitting of Ru-$t_{2g}$ states stabilizes an anti-ferromagnetic (AFM)
insulating magnetic ground state. For the AFM ground state, our Berry curvature
calculations predict a large anomalous Hall response upon doping. From the
systematic symmetry analysis, we uncover that the large anomalous Hall effect
arises due to a combination of broken time-reversal and crystal symmetries
caused by the arrangement of non-magnetic atoms (Sr and O) in the SRO
monolayer. We identify the emergent Hall effect as a clear manifestation of the
so-called crystal Hall effect in terminology of \v{S}mejkal et al.
arXiv:1901.00445 (2019), and demonstrate that it persists at finite frequencies
which is the manifestation of the crystal magneto-optical effect. Moreover, we
find a colossal dependence of the AHE on the degree of crystal symmetry
breaking also in ferromagnetic SRO films, which all together points to an
alternative explanation of the emergence of the topological Hall effect
observed in this type of systems.

1
The categories of this paper are: cs
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con