Superconducting diodes

In superconductors current flows, by definition, without resistance. How then can it possibly acquire directionality? Here, we show how spin-orbit interaction can turn a Josephson junction into a supercurrent diode, where current flows unimpeded only in one direction, selected by a magnetic field.

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When you hold a smartphone in your hand or put your hand to the back of a desktop PC, you can feel it: electronic calculations inevitably generate heat. A team of scientists from the University of Regensburg  and Purdue University/Microsoft Purdue is researching ways to change this in the future. Their findings have now been published in the journal “Nature Nanotechnology”.

Heat generation in electronic computations arises from the fact that computing involves controlling many tiny currents that flow in circuits that are opened and closed. So the question is why not use superconducting circuits, which by definition conduct current without power dissipation, to avoid heat generation in computers.

The problem is that many circuit components in normal electronics do not yet have a superconducting counterpart. The most important example of this is the diode, a key element in electronics. As the basis of the first transistor, the diode is a junction between two semiconductors with different doping through which current can flow easily (with low resistance) in one direction and heavily (with high resistance) in the other. The direction depends on whether the polarity of the applied voltage matches the doping polarity in the junction.

The main challenge in building a superconducting diode is that superconductors do not distinguish left and right. Their resistance is zero, no matter what the current direction is. 

To solve this problem, I and the other colleagues in the research team led by Prof. Strunk in Regensburg (in collaboration with Prof. Michael Manfra and colleagues from Purdue University and Microsoft Quantum Purdue, USA) have used bilayers of aluminum (Al) and  indium arsenide (InAs), a special semiconductor composed of relatively heavy elements. While this semiconductor is not a superconductor, it can maintain a resistive current between two ordinary superconducting conductors (Al), creating what is known as a Josephson junction (B. Josephson, Nobel Prize 1973). The Purdue scientist achieved an extraordinary quality of the InAs/Al-interface that was a key element for the success. Due to the special theory of relativity, the electrons sense the large electric field of the heavy ions as a magnetic field. This magnetic field affects the internal magnetic moment of the electrons - their spin - and creates a so-called spin-orbit coupling.

Josephson junction array
Sketch of Josephson junction array formed by a chain of 2250 Al islands (silver) on top of an InAs quantum well (yellow). Red and blue arrows denote the spontaneous supercurrents flowing. Golden bullets illustrate two electrons forming a Cooper pair carrying the superflow. Strength and direction of the current depends on a in-plane magnetic field Bip, which competes with the spin-texture (counterpropagating circles of black arrows) resulting from spin-orbit coupling in the quantum well.  Image adapted from Baumgartner, Fuchs et al., Nature Nanotechnology, DOI: https://doi.org/10.1038/s41565-021-01009-9.

Why is this important?

Indeed, this trick is the key to enable electrons to tell left from right. In fact, owing to spin-orbit, the spin will point along a different axis depending on the propagation direction. If an additional in-plane magnetic field is applied transverse to the current direction, its coupling with the spins will finally break the symmetry between the two current polarities.

How does a superconducting diode work?

At small currents, even if electrons can distinguish left from right, they will display zero resistance in both directions. However, if the current is increased up to a certain value, the device switches to the dissipative state with finite resistance. Having broken the symmetry between left and right makes the critical values for right-moving and left moving current different. To use the diode one simply needs to apply a current value in between the two critical currents. The resistance will be zero only for a certain current polarity. Since it is the external magnetic field that tells electrons what is left and right, switching its sign means switching left and right. Results, the resistance switches from zero to a finite value by simply switching the magnetic field sign.

What did we find out?

To study the details of the mechanism producing the superconducting diode effect, our team has found a way to study the apparently featureless and boring state of low current, when the resistance is identically zero, no matter which way the current flows. The idea is that, while resistance is strictly zero at low current, the inductance remains finite and it provides a valuable probe of what happens to the supercurrent when the left-to-right symmetry is gradually broken by a magnetic field. Interestingly, the experimental team has found a so-called magneto-chiral anisotropy effect. This effect was found in the past in ordinary metals. When measuring the resistance of a certain class of metals lacking inversion symmetry, one finds that there is a correction term proportional to the product of magnetic field and current. The Regensburg team has found that the same relation holds for a superconducting diode if one substitutes the resistance (which is just zero) with the inductance.

Paradoxically, from the theoretical point of view, working with Josephson junctions might be easier than modelling bulk superconductors. The theoretical team around Prof. Jaroslav Fabian in Regensburg could compute the supercurrent in Josephson junctions with spin-orbit coupling and reproduce quantitatively the results of the experiments.

The demonstration of the superconducting diode opens the way to the realization of non-trivial circuit components, which are completely resistance-free. Such components might be the basis for a new generation of electronic circuits that neither waste energy,  nor need to struggle with the waste heat.

More details can be found in our article published in Nature Nanotechnology.

https://www.nature.com/articles/s41565-021-01009-9

  

Nicola Paradiso

Dr., University of Regensburg

I'm research associate at the University of Regensburg. My focus is on 2D superconductivity, carbon nanotubes, van der Waals materials.