Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of Magnetic Phase Diagrams in Hyperhoneycomb and
  Harmonic-honeycomb Iridates   Motivated by recent experiments, we consider a generic spin model in the
$j_{\text{eff}}=1/2$ basis for the hyperhoneycomb and harmonic-honeycomb
iridates. Based on microscopic considerations, the effect of an additional
bond-dependent anisotropic spin exchange interaction ($\Gamma$) beyond the
Heisenberg-Kitaev model is investigated. We obtain the magnetic phase diagrams
of the hyperhoneycomb and harmonic-honeycomb ($\mathcal{H}\text{--}1$) lattices
via a combination of the Luttinger-Tisza approximation, single-$\mathbf{Q}$
variational ansatz, and classical Monte Carlo simulated annealing. The
resulting phase diagrams on both systems show the existence of incommensurate,
non-coplanar spiral magnetic orders as well as other commensurate magnetic
orders. The spiral orders show counter-propagating spiral patterns, which may
be favorably compared to recent experimental results on both iridates. The
parameter regime of various magnetic orders and ordering wavevectors are quite
similar in both systems. We discuss the implications of our work to recent
experiments and also compare our results to those of the two dimensional
honeycomb iridate systems.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex