Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent electronic transport in periodic crystals   We consider independent electrons in a periodic crystal in their ground
state, and turn on a uniform electric field at some prescribed time. We
rigorously define the current per unit volume and study its properties using
both linear response and adiabatic theory. Our results provide a unified
framework for various phenomena such as the quantification of Hall conductivity
of insulators with broken time-reversibility, the ballistic regime of electrons
in metals, Bloch oscillations in the long-time response of metals, and the
static conductivity of graphene. We identify explicitly the regime in which
each holds.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph