

Lev Landau (USSR, 1908-1968,  Nobel in 1962) was  probably the most important Russian physicist of the 20th century.  His significant contributions concern so many domains that it is difficult to  make a list: quantum physics, magnetism, phase transition, understanding  metals, plasma, quantum electrodynamics, neutrinos, etc. He is famous for  getting, among other prizes, the Nobel Prize for his model of helium  superfluidity.
Although  they did not discover the original mechanism of superconductivity, (Bardeen,  Cooper and Schrieffer did a couple years later), Landau and his colleague  Ginzburg (USSR, 1916-2009, Nobel in 2003) gave a “phenomenological” approach of  superconductivity. Inspired by London, they described the  superconductor as a quantum wave. But above all, they developed a theory  according to which the superconducting state is more orderly than the  non-superconducting state, the wave and its amplitude enabling the measurement  of this order. From energetic and thermodynamic arguments, Landau and Ginzburg  intuited the two equations that should follow this order parameter. With these  two equations, the two Russians could predict the behaviour of a superconductor  depending on temperature, the effect of a magnetic field on the superconductor,  the distance necessary for the superconducting order to set up (referred to as  “coherence length”), etc. We can see how powerful  their approach is: from a simple intuition and without actually understanding  the original mechanism of superconductivity, physicists can still develop a  theory with new results.
 
That is how one of their  young colleagues, Alexei Abrikosov (USSR, 1929-), used these two equations in  1952 and predicted a curious behaviour: according to his calculations, if some  superconductors were exposed to strong enough magnetic fields, they should  become actual magnetic sieves enabling the magnetic field to penetrate through  little tubes called vortices, around which would whirl an electric  supercurrent. These vortices should even organize themselves in triangular  networks. Twelve years later, vortices were observed in experiments and they  have been one of the essential means to understand superconductivity and its  applications ever since. These vortices help us understand why a magnet  levitating above a superconductor seems to be pinned by the superconductor. 
