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Influence of the ferroelectric quantum critical point on SrTiO$_3$ interfaces

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 نشر من قبل William A. Atkinson
 تاريخ النشر 2016
  مجال البحث فيزياء
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We study a model SrTiO$_3$ interface in which conduction $t_{2g}$ electrons couple to the ferroelectric (FE) phonon mode. We treat the FE mode within a self-consistent phonon theory that captures its quantum critical behavior, and show that proximity to the quantum critical point leads to universal tails in the electron density of the form $n(z) sim (lambda+z)^{-2}$, where $lambda sim T^{2-d/mathfrak{z}}$, with $d=3$ the dimensionality and $mathfrak{z}=1$ the dynamical critical exponent. Implications for the metal-insulator transition at low electron density are discussed.

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