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arXiv 1609.09759cond-mat.str-elcond-mat.mtrl-sci
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铁电量子临界点对SrTiO $_3$界面的影响

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

W. A. Atkinson, P. Lafleur, A. Raslan

摘要:

我们研究了一个模型SrTiO $_3$界面,其中导电$t_{2g}$电子耦合到铁电(FE)声子模式。我们处理的FE模式内的自洽声子理论,捕获其量子临界行为,并表明接近量子临界点导致通用的尾巴的形式$n(z) \sim (λ+z)^{-2}$,其中$λ\sim T^{2-d/\mathfrak{z}}$,与$d=3$的维数和$\mathfrak{z}=1$的动力学临界指数的电子密度。在低电子密度的金属-绝缘体转变的影响进行了讨论。

英文摘要:

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 $n(z) \sim (λ+z)^{-2}$, where $λ\sim T^{2-d/\mathfrak{z}}$, 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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