Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First-principles perturbative computation of dielectric and Born charge
  tensors in finite electric fields   We present a perturbative treatment of the response properties of insulating
crystals under a dc bias field, and use this to study the effects of such bias
fields on the Born effective charge tensor and dielectric tensor of insulators.
We start out by expanding a variational field-dependent total-energy functional
with respect to the electric field within the framework of density-functional
perturbation theory. The second-order term in the expansion of the total energy
is then minimized with respect to the first-order wave functions, from which
the Born effective charge tensor and dielectric tensor are easily computed. We
demonstrate an implementation of the method and perform illustrative
calculations for the III-V semiconductors AlAs and GaAs under finite bias
field.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga