Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport properties of a quantum wire in the presence of impurities and
  long-range Coulomb forces   One-dimensional electron systems interacting with long-range Coulomb forces
(quantum wires) show a Wigner crystal structure. We investigate in this paper
the transport properties of such a Wigner crystal in the presence of
impurities. Contrary to what happens when only short-range interactions are
included, the system is dominated by $4 k_F$ scattering on the impurities.
There are two important length scales in such a problem: one is the pinning
length above which the (quasi-)long-range order of the Wigner crystal is
destroyed by disorder. The other length $\xi_{cr}$ is the length below which
Coulomb interactions are not important and the system is behaving as a standard
Luttinger liquid with short-range interactions. We obtain the frequency and
temperature dependence of the conductivity. We show that such a system is very
similar to a classical charge density wave pinned by impurities, but with
important differences due to quantum fluctuations and long-range Coulomb
interactions. Finally we discuss our results in comparison with experimental
systems.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg