Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frustrated Cooper pairing and the $f$-wave supersolidity   Geometric frustration in quantum magnetism refers to that magnetic
interactions on different bonds cannot be simultaneously minimized. The usual
Cooper pairing systems favor the uniform distribution of the pairing phase
among lattice sites without frustration. In contrast, we propose "frustrated
Cooper pairing" in non-bipartite lattices which leads to frustrated supersolid
states with non-uniform distributions of the Cooper pair phase and density.
This exotic pairing state naturally occurs in the $p$-orbital band in optical
lattices with ultra-cold spinless fermions. In the triangular lattice, it
exhibits an unconventional supersolid state with the $f$-wave symmetry.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat