Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous longitudinal electric field-induced anomalous Hall
  conductivity in a ferromagnetic two-dimensional electron gas   It is known that the anomalous Hall conductivity (AHC) in a disordered two
dimensional electron system with Rashba spin-orbit interaction and finite
ferromagnetic spin-exchange energy is zero in the metallic weak-scattering
regime because of the exact cancellation of the bare-bubble contribution by the
vertex correction. We study the effect of inhomogeneous longitudinal electric
field on the AHC in such a system. We predict that AHC increases from zero (at
zero wavenumber), forms a peak, and then decreases as the wavenumber for the
variation of electric field increases. The peak-value of AHC is as high as the
bare-buble contribution. We find that the wave number, q, at which the peaks
occur is the inverse of the geometric mean of the mean free path of an electron
and the spin-exchange length scale. Although the Rashba energy is responsible
for the peak-value of AHC, the peak position is independent of it.

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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th