Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological phase transitions in the 1D multichannel Dirac equation with
  random mass and a random matrix model   We establish the connection between a multichannel disordered model --the 1D
Dirac equation with $N\times N$ matricial random mass-- and a random matrix
model corresponding to a deformation of the Laguerre ensemble. This allows us
to derive exact determinantal representations for the density of states and
identify its low energy ($\varepsilon\to0$) behaviour
$\rho(\varepsilon)\sim|\varepsilon|^{\alpha-1}$. The vanishing of the exponent
$\alpha$ for $N$ specific values of the averaged mass over disorder ratio
corresponds to $N$ phase transitions of topological nature characterised by the
change of a quantum number (Witten index) which is deduced straightforwardly in
the matrix model.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol