Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical method for disordered quantum phase transitions in the
  large$-N$ limit   We develop an efficient numerical method to study the quantum critical
behavior of disordered systems with $\mathcal{O}(N)$ order-parameter symmetry
in the large$-N$ limit. It is based on the iterative solution of the large$-N$
saddle-point equations combined with a fast algorithm for inverting the arising
large sparse random matrices. As an example, we consider the
superconductor-metal quantum phase transition in disordered nanowires. We study
the behavior of various observables near the quantum phase transition. Our
results agree with recent renormalization group predictions, i.e., the
transition is governed by an infinite-randomness critical point, accompanied by
quantum Griffiths singularities. Our method is highly efficient because the
numerical effort for each iteration scales linearly with the system size. This
allows us to study larger systems, with up to 1024 sites, than previous
methods. We also discuss generalizations to higher dimensions and other systems
including the itinerant antiferomagnetic transitions in disordered metals.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an