Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Ginzburg-Landau Model of a Ferromagnetic p-wave Pairing Phase in
  Superconducting Materials and an Inhomogeneous Coexisting State   We study the interplay of the ferromagnetic (FM) state and the p-wave
superconducting (SC) state observed in several materials such as UCoGe and
URhGe in a totally nonperturbative manner. To this end, we introduce a lattice
Ginzburg-Landau model that is a genuine generalization of the phenomenological
Ginzburg-Landau theory proposed previously in the continuum and also a
counterpart of the lattice gauge-Higgs model for the s-wave SC transition, and
study it numerically by Monte-Carlo simulations. The obtained phase diagram has
qualitatively the same structure as that of UCoGe in the region where the two
transition temperatrures satisfy $T_{\rm FM}>T_{\rm SC}$. For $T_{\rm
FM}/T_{\rm SC} < 0.7$, we find that the coexisting region of FM and SC orders
appears only near the surface of the lattice, which describes an inhomogeneous
FMSC coexisting state.

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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom