Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transitions in superconductor liquid crystals   We study properties of phase transitions of 2D superconductor liquid crystal
phases, and analyze the competition between the recently proposed Pair Density
Wave (PDW) and nematic $4e$ superconductor ($4e$SC). Nematic fluctuations
enhance the $4e$SC and suppress the PDW phase. In the absence of lattice
effects, the PDW state exists only at T=0 and the low temperature phase is a
nematic $4e$SC with short ranged PDW order. A geometric description of the $4e$
SC is presented.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
2
The categories of this paper are: math
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org