Edward Goldobin -- Research


Fractional Josephson vortices

I investigate experimentally and theoretically fractional vortices in long Josephson junctions... I guess that for majority of you this sounds like a Greek. Anyway that is what I am doing at work. A bit of patience and I will try to explain it.

Long Josephson junction (LJJ) is formed by two superconducting films with very small (about 1nm) gap between them. This gap is so small that the quantum mechanical tunneling of electrons (and Cooper pairs) from one film to the other takes place. In particular, if the current is not very large, there is no voltage drop across this contact and the current which flows through the gap is called superconducting current or supercurrent. This is so-called Josephson effect and the system of two superconductors separated by a barrier or gap is called a Josephson junction. If you increases the current through the junction above some critical value, the voltage across the junction appears. The maximum supercurrent is called a critical current.

I study Josephson junctions which are long in one direction much more than in the others. This is so-called Long Josephson junction (LJJ). The characteristic lengths in this business is the so-called Josephson length which is typically about 1..30 microns. Junction is called long, if its length at least in one direction is longer than Josephson length.

In LJJ the vortices of supercurrent may exist. Each such vortex is similar to a small coil with circulating current, and creates magnetic field. Such vortex carries one quantum of magnetic flux and therefore is called fluxon.

It is found that the fluxons may move along a Josephson junction i.e. between these two films. Their motion depends on applied external magnetic field H and current I which is applied through the junction from one superconductor to the other.

Recently it was discovered that in Josephson junctions made of cuprate superconductors or in Josephson junctions with ferromagnetic barrier the critical current may be negative. They are called pi-junctions. One can even fabricate the junction one part of which behaves as usual (0-junction) and another part as pi-junction. At the boundary where 0 and pi parts meet each other, a new type of vortex can be formed. This vortex carries only half of the magnetic flux quantum and called semifluxon. The properties of semifluxon are very different from the the properties of fluxons:

  • semifluxons is a ground state of the system while the fluxon is an excited state,

  • semifluxons are pinned while fluxons are mobile,
  • semifluxons have their own internal oscillation frequency, while fluxons do not

Semifluxons are fluxons interact, e.g., the fluxon of positive polarity may "annihilate" with the semifluxon of negative polarity. The result of such an "annihilation" is a semifluxon of positive polarity.

One can go even further and study arbitrary fractional vortices, rather than only semi-integer, experimentally. This is the topic of ongoing research...

Stack of coupled long Josephson junctions

The subject of my postgraduate studies was "The fluxon dynamics in stack of coupled long Josephson junctions" i.e. the stack of superconducting films with many tunnel barriers. Fluxons moving in one layer interacts with the fluxon in the other layer and this results in very complicated but interesting fluxon dynamics. Some unexpected phenomena, for example the emission of Cherenkov radiation by fast moving vortex was discovered. Such a stack of coupled Josephson junctions closely resembles the structure of cuprate superconductors such as BSCCO which is under intensive investigation since the discovery of cuprate family of high temperature superconductors.

Josephson vortex ratchets

To produce the energy our of thermal fluctuation or noise was the dream of mankind since the time when the Brownian motion was recognized. Unfortunately one cannot produce work out of equilibrium thermal fluctuations, because otherwise one should violate the second law of thermodynamics. But... one can extract a useful work out of the non-equilibrium thermal fluctuations using the devices with broken reflection symmetry, the so-called ratchets.

I am interested in the ratchets based vortex motion in long Josephson junctions. In this systems there are several ways to create an asymmetric potential for a vortex. Directed (in average) motion of the vortex results in dc voltage across the junction. Josephson junctions are fast devices and therefore may rectify noise in the wide frequency range from 0 up to 100 GHz.

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