What prize did the man who used the ideas of Lars Onsager in 1957 to describe the magnetic phase diagram of type-II superconductors in 2003?
Quantum vortex In physics, a quantum vortex represents a quantized flux circulation of some physical quantity. In most cases quantum vortices are a type of topological defect exhibited in superfluids and superconductors. The existence of quantum vortices was predicted by Lars Onsager in 1947 in connection with superfluid helium. Onsager also pointed out that quantum vortices describe the circulation of superfluid and conjectured that their excitations are responsible for superfluid phase transitions. These ideas of Onsager were further developed by Richard Feynman in 1955 and in 1957 were applied to describe the magnetic phase diagram of type-II superconductors by Alexei Alexeyevich Abrikosov. In 1935 Fritz London published a very closely related work on magnetic flux quantization in superconductors. London's fluxoid can also be viewed as a quantum vortex.
Herbert Kroemer Herbert Kroemer (born August 25, 1928), a professor of electrical and computer engineering at the University of California, Santa Barbara, received his Ph.D. in theoretical physics in 1952 from the University of Göttingen, Germany, with a dissertation on hot electron effects in the then-new transistor, setting the stage for a career in research on the physics of semiconductor devices. In 2000, Kroemer, along with Zhores I. Alferov, was awarded the Nobel Prize in Physics "for developing semiconductor heterostructures used in high-speed- and opto-electronics". The other co-recipient of the Nobel Prize was Jack Kilby for his invention and development of integrated circuits and micro-chips.