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Functional renormalization group in Floquet space

机译：Floquet空间中的功能重整化组

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摘要

We present an extension of the functional renormalization group to Floquet space, which enables us to treat the long time behavior of interacting time periodically driven quantum dots. It is one of its strength that the method is neither bound to small driving amplitudes nor to small driving frequencies, i.e., very general time periodic signals can be considered. It is applied to the interacting resonant level model, a prototype model of a spinless, fermionic quantum dot. The renormalization in several setups with different combinations of time periodic parameters is studied, where the numerical results are complemented by analytic expressions for the renormalization in the limit of small driving amplitude. We show how the driving frequency acts as an infrared cutoff of the underlying renormalization group flow which manifests in novel power laws. We utilize the tunability of the effective reservoir distribution function in a periodically driven onsite energy setup to show how its shape is directly reflected in the renormalization group flow. This allows us to flexibly tune the power-law renormalization generically encountered in quantum dot structures. Finally, an in-phase quantum pump as well as a single parameter pump are investigated in the whole regime of driving frequency, demonstrating that the new power law in the driving frequency is reflected in the mean current of the latter.
机译：我们将功能重整化组扩展到Floquet空间，这使我们能够处理与时间周期性驱动的量子点相互作用的长时间行为。该方法既不限于小驱动幅度也不限于小驱动频率是其优点之一，即可以考虑非常普通的时间周期信号。它被应用于相互作用的共振能级模型，这是无旋转的费米离子量子点的原型模型。研究了具有不同时间周期参数组合的几种设置中的重归一化，其中数值结果由解析表达式补充，以在小驱动幅度的限制下进行重归一化。我们展示了驱动频率如何充当潜在的归一化群流的红外截止，这在新颖的幂定律中表现出来。我们在定期驱动的现场能量设置中利用有效储层分配函数的可调性，以显示其形状如何直接反映在重新规范化群流中。这使我们可以灵活地调整量子点结构中通常遇到的幂律重新规范化。最后，在整个驱动频率范围内研究了同相量子泵和单参数泵，证明了驱动频率中的新功率定律反映在后者的平均电流中。

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  • 来源
    《Physical review》 |2016年第24期|245116.1-245116.22|共22页
  • 作者

    Anna Katharina Eissing; Volker Meden; Dante Marvin Kennes;

  • 作者单位

    Institut fuer Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany,JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany;

    Institut fuer Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany,JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany;

    Institut fuer Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany,JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany,Department of Physics, Columbia University, New York, New York 10027, USA;

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