Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microwave Resonance and Carrier-Carrier Interaction in Two-Dimensional
  Hole Systems at High Magnetic Field   Microwave frequency conductivity, Re($\sigma_{xx}$), of high quality
two-dimensional hole systems (2DHS) in a large perpendicular magnetic field (B)
is measured with the carrier density ($n_s$) of the 2DHS controlled by a
backgate bias. The high B insulating phase of the 2DHS exhibits a microwave
resonance that remains well-defined, but shifts to higher peak frequency
($f_{pk}$) as $n_s$ is reduced. Over a wide range of $n_s, f_{pk} \propto
n_s^{-1/2}$ is observed for the two samples we measured. The data clearly
indicate that both carrier-carrier interactions and disorder are indispensable
in determining the dynamics of the insulator. The $n_s$ dependence of $f_{pk}$
is consistent with a weakly pinned Wigner crystal in which domain size
increases with $n_s$, due to larger carrier-carrier interaction.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom