Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pomeranchuk and Topological Fermi Surface Instabilities from Central
  Interactions   We address at the mean field level the emergence of a Pomeranchuk instability
in a uniform Fermi liquid with \emph{central} particle-particle interactions.
We find that Pomeranchuk instabilities with all symmetries except $l=1$ can
take place if the interaction is repulsive and has a finite range $r_{0}$ of
the order of the inter-particle distance. We demonstrate this by solving the
mean field equations analytically for an explicit model interaction, as well as
numerical results for more realistic potentials. We find in addition to the
Pomeranchuk instability other, subtler phase transitions in which the Fermi
surface changes topology without rotational symmetry-breaking. We argue that
such interaction-driven topological transitions may be as generic to such
systems as the Pomeranchuk instability.

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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: q-alg
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom