The 2016 Nobel Prize in Physics has been awarded to Michael Kosterlitz, Duncan Haldane and David J. Thouless for work on topological phase transitions, largely published in the 1970s and early 1980s. All three men were born in the UK.
This year’s Laureates opened the door on an unknown world where matter can assume strange states. They have used advanced mathematical methods to study unusual phases, or states, of matter, such as superconductors, superfluids or thin magnetic films. Thanks to their pioneering work, the hunt is now on for new and exotic phases of matter. Many people are hopeful of future applications in both materials science and electronics.
The three Laureates’ use of topological concepts in physics was decisive for their discoveries. Topology is a branch of mathematics that describes properties that only change step-wise. Using topology as a tool, they were able to astound the experts. In the early 1970s, Michael Kosterlitz and David Thouless overturned the then current theory that superconductivity or suprafluidity could not occur in thin layers. They demonstrated that superconductivity could occur at low temperatures and also explained the mechanism, phase transition, that makes superconductivity disappear at higher temperatures.
In the 1980s, Thouless was able to explain a previous experiment with very thin electrically conducting layers in which conductance was precisely measured as integer steps. He showed that these integers were topological in their nature. At around the same time, Duncan Haldane discovered how topological concepts can be used to understand the properties of chains of small magnets found in some materials.
Kosterlitz and Thouless
http://iopscience.iop.org/article/10.1088/0022-3719/6/7/010/meta;jsessionid=C29DC2BC7B230E81C1ED0507B03F0652.c4.iopscience.cld.iop.org
Ordering, metastability and phase transitions in two-dimensional systems