Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ripple state in the frustrated honeycomb-lattice antiferromagnet   We discover a new type of multiple-$q$ state, "ripple state", in a frustrated
honeycomb-lattice Heisenberg antiferromagnet under magnetic fields. The ground
state has an infinite ring-like degeneracy in the wavevector space, exhibiting
a cooperative paramagnetic state, "ring-liquid" state. We elucidate that the
system exhibits the ripple state as a new low-temperature thermodynamic phase
via a second-order phase transition from the ring-liquid state, keeping the
ring-like spin structure factor. The spin texture in real space looks like a
"water ripple" and can induce a giant electric polarization vortex. Possible
relationship to the honeycomb-lattice compound, ${\rm
Bi_{3}Mn_{4}O_{12}(NO_{3})}$, is discussed.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph