Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg
  chain   We use bosonization and renormalization group methods to determine the ground
state phase diagram of a one-dimensional frustrated Kondo-Heisenberg system
consisting of a one-dimensional spin-1/2 Luttinger liquid coupled by a Kondo
exchange interaction $J_K$ to a frustrated quantum antiferromagnetic Heisenberg
chain, with a nearest-neighbor exchange coupling $J_1$ and a
next-nearest-neighbor (frustrating) exchange interaction $J_2$. We analyze the
interplay of quantum frustration in the antiferromagnetic chain with the Kondo
exchange coupling $J_K$ with the Luttinger liquid. We discuss the structure of
the phase diagram of this system as a function of the ratios $J_K/J_1$,
$J_2/J_1$ and of the parameters of the Luttinger liquid. In particular we
discuss in detail the regimes in which a pair-density-wave state may be
realized and its relation with the spin correlations in the frustrated
antiferromagnetic chain.

13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn