Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of topological phase diagram of disordered
  Pb$_{1-x}$Sn$_{x}$Te using the kernel polynomial method   We present an algorithm to determine topological invariants of inhomogeneous
systems, such as alloys, disordered crystals, or amorphous systems. Based on
the kernel polynomial method, our algorithm allows us to study samples with
more than $10^7$ degrees of freedom. Our method enables the study of large
complex compounds, where disorder is inherent to the system. We use it to
analyse Pb$_{1-x}$Sn$_{x}$Te and tighten the critical concentration for the
phase transition.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph