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Superconductors
Superconductor Computer Elements Based on the Josephson Effect
Objective
• R&D in the pre-eminent Josephson Superconductor Computer Project of
Technique
• Prime emphasis directed at the design, modelling (ASTAP,
- Josephson interferometers, shaped tunnel junctions to suppress side lobes in the magnetic interference patterns, peripheral circuits including memory array line drivers and sense bus, single-magnetic flux quantum main memory and cache memory (world’s first results).
Results
• Example: fast pulse measurements on simulated 4k sub-memory arrays including peripheral circuits. Access times in ns-regime.
Selected References
Superconducting Tunnel Junction Barrier Uniformity
Problem
• Abnormal side lobe height variations in supercurrent versus magnetic flux characteristics of Josephson superconducting tunnel junction devices. Current-controlled magnetic flux dependence used for driver operations to address superconducting memories. Abnormal side lobes led to loss in magnetic flux and hence to unreliable memory operation.
Technique
• Resolution: Possible root-cause – patchy, non-uniform tunnel barrier layer (tunnelling probability).
• First indication of existence of a non-uniform tunnel barrier by observation of so-called sub-harmonic gap structure in the current-voltage characteristics of superconducting tunnel junctions. Can be interpreted within a multi-particle tunnelling model.
• Pioneered in collaboration with the
• Technique was used
- to establish optimal conditions to grow uniform tunnel barriers.
- as quality gate in an established manufacturing process to assure the formation of uniform high-quality tunnel barriers.
Outcome
• Measured current density distributions were in qualitative agreement with the experimental magnetic field dependence of the DC Josephson current of the respective tunnel junction.
• Controlled growth conditions enabled uniform tunnel barriers and hence reliable, repeatable and optimum driver and memory functionality.
Selected References
Sub-Harmonic Energy Gap Structure
Problem
• Root-cause of well-pronounced current steps at distinct voltages in the single-particle tunnelling regime of current-voltage characteristics of superconducting tunnel junctions.
Technique
• Fabrication of symmetric and asymmetric tunnel junctions by thin film deposition and tunnel barrier formation by oxidation in an oxygen glow discharge. I/V measurements in thermal tunnelling regime with high current and voltage resolution.
Results
• Current step structure can clearly be attributed to the subharmonic gap structure SGS.
• According to detailed analysis the SGS is due to multi-particle tunnelling processes indicating a non-uniform, ‘patchy’ tunnel barrier (tunnelling probability) across the junction area.
• Heights of SGS current steps directly impact side lobes in the magnetic interference patterns (DC Josephson current versus magnetic flux) of shaped tunnel junctions.
Selected References
→ Epperlein: “Supercurrent interference patterns and quasiparticle excess currents in Josephson tunnel junctions” in “Squid’80“, eds. Hahlbohm, Luebbig, Walter de Gruyter &
→ Epperlein: “Model for the temperature dependence of the subharmonic gap structure in superconducting tunnel junctions”. Bull. American Phys. Soc. 28, 464 (1983).
Superconducting Magnetic Penetration Depths
Problem
• Measurement of magnetic penetration depth in evaporated thin superconducting films.
Technique
• Pioneered an innovative 2-Josephson junction interferometer technique to measure absolute magnetic penetration depths l. (World’s-first results).
- Special configurations of ground plane, junction layers and control line layers for the magnetic field enabled an absolute measurement of l on both sides of a film with an accuracy of ± 7%.
Results
• l values measured in Nb films as function of residual resistivity rTc and temperature T are within the local London theory and the experimental l(T) dependence follows the empirical approximation l(T) = l(0) [1-(T/Tc)4]-1/2 in the range 4 K £ T £ 8 K for a film with the critical temperature Tc = 9 K and rTc = 5.8 mWcm.
Selected References
→ Epperlein: “Magnetic penetration depths in superconducting Nb films“. Physica 108B, 931-932, (1981).
Non-Equilibrium Quasiparticle Distribution in Thin Superconducting Films
Problem
• Measure the energy gap reduction generated by non-equilibrium quasiparticle distributions.
Technique
• Use of superconducting double tunnel junction stack structures. Excess, non-thermal quasiparticles injected via single-particle tunnelling in lower junction. Energy gap reduction and non-equilibrium quasiparticle population in middle film probed by top tunnel junction by measuring I-V characteristics at low temperatures well below the critical temperature.
Results
• Energy gap reduction stronger than in thermal case.
• Gap instability at the critical gap reduction ratio.
• Both, in support of the chemical potential µ*-model (Owen, Scalapino) for a first-order phase transition.
Selected References
Electron Recombination Times in Superconducting Tunnel Junctions
Problem
• Measure effective electron (quasiparticle) recombination times teff in thin superconducting Al-, Sn- and Pb films as function of temperature, phonon re-absorption, phonon loss processes, and film disorder.
Technique
• teff derived directly from time decay measurements of excess quasiparticle concentrations injected by current or laser pulses in single tunnel junctions below the critical temperature Tc.
• Disordered Al films (strength of granularity) produced by a controlled oxygen background evaporation.
Results (selected, world’s-first)
• Exponential increase of effective times with decreasing temperature with typical values in the range 10 to 1000 ns at 1.5 K and dependent on material Al, Sn, Pb, respectively.
• Experimental times are within a ray acoustic model considering film thickness dependence of phonon re-absorption, phonon volume losses and phonon escape processes.
• Reduced times in perturbed Al films are due to enhanced phonon escape by diffuse scattering at the microcrystalline, irregular junction boundaries, and an increase of the electron-phonon coupling.
Selected References
Density of States at the Fermi Level in Thin Superconducting Films
Problem
• Measure density of states at Fermi Level N0 in different thin film superconductors. Compare with respective bulk values. Evaluate relevance of N0 of perturbed films to critical temperature Tc enhancement.
Technique
• Pioneered innovative fast current pulse measurements on single tunnel junctions.
- Using the relations for the
- Measuring absolute values of the temperature, the energy gap, the injection rate, the effective lifetime and the relative QP overinjection at the switch-off time of the injection pulse.
- N0 values were derived for thin Sn, Pb and Al films and compared with the respective bulk values from heat-capacity coefficients. (World’s-first results).
Results
• Sn: N0 thin film value 2.73 ± 0.03 (1022 eV-1 cm-3) [bulk value 2.77 x 1022 eV-1 cm-3 ]
• Pb: N0 thin film value 4.20 ± 0.20 (1022 eV-1 cm-3) [bulk value 4.40 x 1022 eV-1 cm-3 ]
• Al: N0 thin film value 3.30 ± 0.08 (1022 eV-1 cm-3) [bulk value 3.45 x 1022 eV-1 cm-3 ]
• N0 thin film value unchanged for measured Al films with different strength of disorder characterized by the average grain size in the range 260 nm – 13 nm and the critical temperatures Tc = 1.23 K – 1.85 K, respectively. The Tc enhancement in the granular Al films is caused by a change of the phonon spectrum and electron-phonon interaction and not by a change of N0.
Selected References
Monochromatic High Frequency Phonons
Problem
• Measure absolute phonon detection sensitivity of superconducting tunnel junctions.
Technique
• Use of thin superconducting tunnel junctions evaporated onto front- and backside of substrate crystal as phonon transmitter and receiver. Sample immersed in superfluid liquid helium II or in vacuum.
• Generation of relaxation phonons (frequency-tuneable) and recombination phonons (frequency fixed by energy gap value) via relaxation of injected quasiparticles to upper edge of energy gap and subsequent recombination to ground state in voltage-biased tunnel junctions.
• Detection of phonons with energies > energy gap via Cooper-pair breaking and subsequent increase of single particle current in tunnel junctions biased in the thermal tunnelling regime below the gap voltage.
Results
• Transmission of > 300 GHz phonons into silicon and sapphire crystals.
• Low detection sensitivities of 1% (sapphire) and 2.5% (silicon) of generated phonons mainly due to high phonon escape losses into superfluid liquid helium II which is not being expected from a simple acoustic mismatch model.
Selected References
Measurement of e/h by Means of the Josephson Effect in Superconducting Tunnel Junctions
Problem
• Set-up of an advanced e/h measurement technique for the postgraduate practical training in physics at the university.
Technique
• Use of the AC Josephson Effect in Tunnel Junctions:
- Irradiate the junction with microwaves.
- Measure the frequency ν.
- Measure the voltage V of a selected microwave-induced current step.
Results
• Two experiments comprising, (i) e/h measurement by employing the AC-Josephson effect and (ii) magnetic field dependence of the DC-Josephson supercurrent were successfully set up under my technical guidance.
• Typical values for e/h = ν/V (Josephson frequency/voltage ratio) measured by the postgraduates were in the range 4.78 – 4.86 (1014 Hz/V) which compares well with the NBS (1987) value of 4.835976 x 1014 Hz/V.
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