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Diwen wuli xuebao

THE PHENOMENON OF PHASE DIFFUSIONIN Al/Al_2O_3/Al TUNNEL JUNCTIONS

Wang Li

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

Josephson junction is the key element of the superconducting quantum bits.DC superconducting quantum interference device(DC-SQUID)plays a important role in the measurement of superconducting flux quantum bit because of its high sensitivity in magnetic field probe.By evaporating aluminum from slanted angles and the method of static oxidization,we fabricated the DC-SQUID sample composed by two parallel tunnel junctions Al/Al2O3/Al.Placing the sample in different temperature between 20 mK and 1000 mK,we had the measurement of switching current distribution(SCD).The transition from macroscopic quantum tunneling mechanism(MQT)to thermal activation(TA)is clearly observed in 50 mK.When the temperature is higher than 80 mK,the phase diffusion phenomenon(PD)is observed.It is of great importance for the research of phase dynamics of tunnel junction.

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Chinese Science Bulletin•Jan 20, 2012•18 citations
Josephson junction is the key element of the superconducting quantum bits.DC superconducting quantum interference device(DC-SQUID)plays a important role in the measurement of superconducting flux quantum bit because of its high sensitivity in magnetic field probe.By evaporating aluminum from slanted angles and the method of static oxidization,we fabricated the DC-SQUID sample composed by two parallel tunnel junctions Al/Al2O3/Al.Placing the sample in different temperature between 20 mK and 1000 mK,we had the measurement of switching current distribution(SCD).The transition from macroscopic quantum tunneling mechanism(MQT)to thermal activation(TA)is clearly observed in 50 mK.When the temperature is higher than 80 mK,the phase diffusion phenomenon(PD)is observed.It is of great importance for the research of phase dynamics of tunnel junction.
We have measured the switching current versus applied magnetic flux of a highly asymmetric, hysteretic dc superconducting quantum interference device (SQUID) from 30 mK to 400 mK. The SQUID loop had an inductance of 1 nH, and the capacitances of the two Al-Al2O3-Al Josephson junctions comprising the SQUID were 100 fF and 5 fF. As expected, the switching current of the SQUID displayed a small, periodic modulation with applied flux, from which the switching currents of the large and small junctions at 30 mK were determined to be 846.3 ± 0.1 nA and 0.7 ± 0.08 nA, respectively. Measurements of an identically prepared small junction exhibited a highly suppressed switching current (IS < 10 pA), consistent with phase diffusion in this device. The observed modulation in the SQUID thus demonstrates that the quantum mechanical uncertainty in the phase difference across the small junction was significantly reduced by coupling to the large junction through the loop inductance. We discuss the sensitivity of this technique for determining the gauge-invariant phase difference of small Josephson junctions, and the implications for imaging the phase of superconductors at the atomic scale using scanning tunneling microscopy.
The observation of macroscopic quantum tunneling (MQT) manifests the quantumness of macroscopic variables, such as the phase difference across a Josephson junction (JJ). Since then, MQT has become a hallmark experiment to show the quantum nature of JJ-based devices. It has also paved a way to test other macroscopic quantum effects and has led to engineering a variety of artificial atoms, i.e., qubits. However, in the progress of quantum circuits for different applications, it is crucial to understand the influence of thermal and quantum fluctuations, dissipation, and noise to various quantum devices. Thus, the role of the factors mentioned above and the junction parameters EJE_{J}EJ​ (Josephson coupling energy) and ECE_{C}EC​ (charging energy) can be scrutinized by understanding the dynamics of the fictitious phase particle. Similarly, in the application perspective, Szilard engine based on SET device are too slow to convert heat into work and are not efficient in-terms of power performance. To overcome the drawbacks, we proposed a high-efficiency fast Szilard engine based on a flux logic device (FLD) and investigated its property numerically and optimize its performance. \\\\ In the first part of the dissertation, we studied the phase dynamics of moderately damped Josephson junctions. The time of flight technique is used to measure the switching current distributions (SCDs). Different dynamical states, thermal activation (TA), MQT, and phase diffusion (PD) are identified from SCDs through well-defined criteria. We observed unambiguous evidence of MQT when temperature is below ∼0.5-0.8\sim0.5\text{-}0.8∼0.5-0.8 K. The importance of the tilt in the phase dynamics of the junctions, which has been overlooked in previous studies, is clarified. We found that the junction with larger EJE_{J}EJ​ but the same ωp0\omega_{p0}ωp0​ requires greater tilt and lower temperature to enter MQT regime. \\ \\ In the second part of the dissertation, to overcome the limitation of the SET based Szilard engine, we used superconducting quantum interference device (SQUID) as a one-bit flux logic cell to realize a fast Szilard engine for optimal power. In the past decade, due to technological advancement, the study of energy fluctuations in nano-scale systems such as optical or electrical traps and single-electron tunneling (SET) devices has transformed Szilard's engine to experimental realizations. However, the heat engine realized are slow to convert heat into work limiting their performance in speed and power. The SQUID-based flux logic device (FLD) has a high characteristic frequency, ωp\omega_\text{p}ωp​/2$\pi \sim101010^{10}$ Hz, making it an excellent candidate for realizing a high-efficiency Szilard engine with unprecedented performance. We showed that, on average, the proposed heat engine can extract kBT_\text{B}TB​Tln2 of heat per cycle from the thermal reservoir in the quasi-static (QS) limit. In addition, we showed that the FLD-based Szilard engine delivers maximum power when operated about 200 times faster than the threshold speed of quasi-static operation. Our result demonstrates that Szilard's engine's performance based on FLD exceeds other nano-device implementations by orders of magnitude. \\
We experimentally investigate the stochastic phase dynamics of planar Josephson junctions (JJs) and superconducting quantum interference devices (SQUIDs) defined in epitaxial InAs/Al heterostructures, and characterized by a large ratio of Josephson energy to charging energy. We observe a crossover from a regime of macroscopic quantum tunneling to one of phase diffusion as a function of temperature, where the transition temperature T^{*} is gate-tunable. The switching probability distributions are shown to be consistent with a small shunt capacitance and moderate damping, resulting in a switching current which is a small fraction of the critical current. Phase locking between two JJs leads to a difference in switching current between that of a JJ measured in isolation and that of the same JJ measured in an asymmetric SQUID loop. In the case of the loop, T^{*} is also tuned by a magnetic flux.
Quantum phase diffusion in a small underdamped Nb/AlO(x)/Nb junction (∼0.4 μm(2)) is demonstrated in a wide temperature range of 25-140 mK where macroscopic quantum tunneling (MQT) is the dominant escape mechanism. We propose a two-step transition model to describe the switching process in which the escape rate out of the potential well and the transition rate from phase diffusion to the running state are considered. The transition rate extracted from the experimental switching current distribution follows the predicted Arrhenius law in the thermal regime but is greatly enhanced when MQT becomes dominant.
As one of the candidates for realizing quantum bits, superconducting quantum bits, based on Josephson junction, have the advantages of easy integrating, coupling with the outside environment and so on. Double-layer photoresist was used to prepare suspended shadow mask by deep ultra-violet (DUV) lithography. We fabricated the sample of superconducting flux quantum bits by electron beam evaporation and static oxidization with aluminum as superconducting material. According to the dependence of the flatness on the thickness of aluminum film, we select 60 nm as the thickness of the bottom electrode of tunnel junction. By increasing the distance between the evaporation source and the substrate, we have improved the smoothness of film and thus reduced the leakage current of tunnel junction. The tri-layer structure of aluminum tunnel junction was observed by transmission electron microscopy (TEM), and the relationship between the thickness of barrier layer and the oxidation pressure was obtained.
The superconductive Josephson junction is the key device for superconducting quantum computation. We have fabricated Al/Al2O3/Al tunnel junctions using a double angle evaporation method based on a suspended shadow mask. The Al2O3 junction barrier has been formed by introducing pure oxygen into the chamber during the fabrication process. We have adjusted exposure conditions by changing either the oxygen pressure or the oxidizing time during the formation of tunnel barriers to control the critical current density J c and the junction specific resistance R c . Measurements of the leakage in Al/Al2O3/Al tunnel junctions show that the devices are suitable for qubit applications.