Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calculation of Two-Particle Quantities in the Typical Medium
  Dynamical Cluster Approximation   The mean-field theory for disordered electron systems without interaction is
widely and successfully used to describe equilibrium properties of materials
over the whole range of disorder strengths. However, it fails to take into
account the effects of quantum coherence and information of localization.
Vertex corrections due to multiple back-scatterings may drive the electrical
conductivity to zero and make expansions around the mean field in strong
disorder problematic. Here, we present a method for the calculation of
two-particle quantities which enable us to characterize the metal-insulator
transitions (MIT) in disordered electron systems by using the Typical Medium
Dynamical Cluster Approximation (TMDCA). We show how to include vertex
corrections and the information about the mobility edge to the typical
mean-field theory. We successfully demonstrate the application of the developed
method by showing that the conductivity formulated in this way properly
characterizes the MIT in disordered systems.

20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an