$SrTiO_3/LaTiO_3$界面电子对寿命效应的一种可能机制
A possible mechanism of the lifetime effects of electron pairs at the $SrTiO_3/LaTiO_3$ interface
摘要：
在钛酸锶/铝酸镧（STO/LAO）界面处制造的单电子晶体管的非典型行为被认为是由电子对的寿命效应引起的。此外，如Richter的实验所示，能隙$Δ$应该保持在超导转变温度$T_c$以上。为了解释这些实验，本文试图将声子-电子相互作用与电子对的形成和衰变机制联系起来。此外，通过采用包含两种超导机制的玻色子费米子模型，我们再现了能隙在$T_c$之上保持有限的阶梯状$Δ-T_c$关系.计算结果与实验结果基本一致。新引入的模型和形式主义可能有助于描述超导体的寿命效应和有限的能隙$Δ$以上$T_c$。
英文摘要：
The lifetime effects of the electron pairs are supposed to be responsible for the atypical behavior of the single electron transistors manufactured at the strontium titanate/ lanthanum aluminate (STO/LAO) interface. In addition, as shown in Richter's experiments, the energy gap $Δ$ should persist above the superconducting transition temperature $T_c$. In order to explain the experiments, the present paper attempts to associate the phonon-electron interactions to the mechanism of the formation and decay of the electron pairs. Moreover, through employing the boson fermion model that includes two superconducting mechanisms, we reproduce the step-like $Δ-T_c$ relations with the energy gap $Δ$ remaining finite above $T_c$. The results are roughly consistent with the experiments. The newly-introduced models and formalism may be helpful in describing superconductors with lifetime effects and a finite energy gap $Δ$ above $T_c$.
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