Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Numerical Formulation to Calculate the Conductance of Mesoscopic
  Conductors Using Singular Value Decomposition   We present a new formulation to calculate the electric conductance of
mesoscopic conductors by utilizing the singular value decomposition, which is a
mathematical technique to manipulate matrices. Our formulation is useful in
treating conductors with rather complicated atomic structures, for which naive
recursion formula is cumbersome. It also has an advantage in scaling up the
calculation by using parallel computation, which potentially allows us the
real-scale calculations at the atomic level. On the other hands, the effects of
electron-electron interactions are hard to be treated within this framework,
since it depends crucially on the linearity of the system. In this paper, we
study graphene nanoribbons with external leads for a simple example.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
3
The categories of this paper are: physics
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org