Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified transverse Ising model for the dielectric properties of
  SrTiO$_3$ films and interfaces   The transverse Ising model (TIM), with pseudospins representing the lattice
polarization, is often used as a simple description of ferroelectric materials.
However, we demonstrate that the TIM, as it is usually formulated, provides an
incorrect description of SrTiO$_{3}$ films and interfaces because of its
inadequate treatment of spatial inhomogeneity. We correct this deficiency by
adding a pseudospin anisotropy to the model. We demonstrate the physical need
for this term by comparison of the TIM to a typical Landau-Ginzburg-Devonshire
model. We then demonstrate the physical consequences of the modification for
two model systems: a ferroelectric thin film, and a metallic
LaAlO$_{3}$/SrTiO$_{3}$ interface. We show that, in both cases, the modified
TIM has a substantially different polarization profile than the conventional
TIM. In particular, at low temperatures the formation of quantized states at
LaAlO$_{3}$/SrTiO$_{3}$ interfaces only occurs in the modified TIM.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int