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arXiv 2104.00044cond-mat.mes-hallcond-mat.supr-con
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混合约瑟夫森结中的共振诱导量子相变

Resonator induced quantum phase transitions in a hybrid Josephson junction

Robert Hussein, Wolfgang Belzig

摘要:

我们研究了通过悬浮的碳纳米管双量子点的约瑟夫森电流,在足够低的温度下,其特征在于电子子系统的基态。根据磁场或点间耦合等参数,基态可以是载流单重态或双重态,也可以是阻塞三重态。由于电子振动相互作用已被证明是静电调谐,我们特别研究其对电流相位关系的影响。我们发现,耦合到振动模式可以解除电流抑制三重态封锁诱导一个量子相变到一个不同的总自旋的基态。我们的主要发现是一个三相点的约瑟夫森电流参数化的谐振器耦合和约瑟夫森相位的发展。三相点附近的量子相变可以通过临界电流直接获得,并且对适度有限的温度有弹性。所提出的设置使得超导混合装置的机械自由度的一部分,这对于超灵敏位移检测器是有趣的。

英文摘要:

We investigate the Josephson current through a suspended carbon nanotube double quantum dot which, at sufficiently low temperatures, is characterized by the ground state of the electronic subsystem. Depending on parameters like a magnetic field or the inter-dot coupling, the ground state can either be a current-carrying singlet or doublet, or a blockaded triplet state. Since the electron-vibration interaction has been demonstrated to be electrostatically tuneable, we study in particular its effect on the current-phase relation. We show that the coupling to the vibration mode can lift the current-suppressing triplet blockade by inducing a quantum phase transition to a ground state of a different total spin. Our key finding is the development of a triple point in the Josephson current parameterized by the resonator coupling and the Josephson phase. The quantum phase transitions around the triple point are directly accessible through the critical current and resilient to moderately finite temperatures. The proposed setup makes the mechanical degree of freedom part of a superconducting hybrid device which is interesting for ultra-sensitive displacement detectors.

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