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首页> 外文期刊>Physical review >Interaction-induced local moments in parallel quantum dots within the functional renormalization group approach
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Interaction-induced local moments in parallel quantum dots within the functional renormalization group approach

机译：功能重整化组方法中平行量子点中相互作用诱导的局部矩

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摘要

We propose a version of the functional renormalization-group (fRG) approach, which is, due to including Litim-type cutoff and switching off (or reducing) the magnetic field during fRG flow, capable of describing a singular Fermi-liquid (SFL) phase, formed due to the presence of local moments in quantum dot structures. The proposed scheme allows one to describe the first-order quantum phase transition from the "singular" to the "regular" paramagnetic phase with applied gate voltage to parallel quantum dots, symmetrically coupled to leads, and shows sizable spin splitting of electronic states in the SFL phase in the limit of vanishing magnetic field H → 0; the calculated conductance shows good agreement with the results of the numerical renormalization group. Using the proposed fRG approach with the counterterm, we also show that for asymmetric coupling of the leads to the dots the SFL behavior similar to that for the symmetric case persists, but with occupation numbers, effective energy levels, and conductance changing continuously through the quantum phase transition into the SFL phase.
机译：我们提出了一种功能重归一化组（fRG）方法的版本，该方法由于包含Litim型截止并在fRG流动过程中关闭（或减小了）磁场而得以描述奇异费米液体（SFL）由于量子点结构中存在局部矩而形成的相位。拟议的方案允许人们描述从“奇异”到“常规”顺磁相的一阶量子相变，其中栅极电压施加到对称耦合到引线的平行量子点，并显示出电子态的相当大的自旋分裂。 SFL相位在消失磁场的极限H→0;计算出的电导率与数值重归一化组的结果吻合良好。使用提出的带有反项的fRG方法，我们还表明，对于引线到点的不对称耦合，类似于对称情况的SFL行为仍然存在，但是占有量，有效能级和电导在量子范围内不断变化过渡到SFL阶段。

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  • 来源
    《Physical review》 |2016年第19期|195148.1-195148.8|共8页
  • 作者

    V. S. Protsenko; A. A. Katanin;

  • 作者单位

    M. N. Mikheev Institute of Metal Physics, 620990 Ekaterinburg, Russia and Ural Federal University, 620002 Ekaterinburg, Russia;

    M. N. Mikheev Institute of Metal Physics, 620990 Ekaterinburg, Russia and Ural Federal University, 620002 Ekaterinburg, Russia;

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