Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid
  Pairing Transition   We show that a random interacting model exhibits solvable non-Fermi liquid
behavior and exotic pairing behavior. This model, dubbed as the Yukawa-SYK
model, describes the random Yukawa coupling between $M$ quantum dots each
hosting $N$ flavors of fermions and $N^2$ bosons that self-tunes to criticality
at low energies. The diagrammatic expansion is controlled by $1/MN$, and the
results become exact in a large-$M$, large-$N$ limit. We find that pairing only
develops within a region of the $(M,N)$ plane --- even though the pairing
interaction is strongly attractive, the incoherence of the fermions can spoil
the forming of Cooper pairs, rendering the system a non-Fermi liquid down to
zero temperature. By solving the Eliashberg equation and the renormalization
group equation, we show that the transition into the pairing phase exhibits
Kosterlitz-Thouless quantum-critical behavior.

9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics