Their theory applied to certain kinds of magnets and to superconducting and superfluid films, and has also been very important for understanding the quantum theory of one-dimensional systems at very low temperatures.
In the early 1980s David J. Thouless and F. Duncan M. Haldane developed theoretical methods to describe phases of matter that cannot be identified by their pattern of symmetry breaking.
In a 1982 paper, David Thouless and his collaborators Mahito Kohmoto, Peter Nightingale, and Marcel den Nijs, explained the very precise quantization of the Hall conductance in two- dimensional electron gases using topological concepts. In 1983 Duncan Haldane derived a theory for spin chains that incorporated effects of topology in a crucial way. Based on this he predicted that chains with integer and half-integer spins should be qualitatively different, and this totally unexpected effect was later confirmed by experiments.
This prize is a tribute to the innovative use of elegant mathematical concepts toward
simplification and better understanding of strongly interacting systems of many quantum particles.
A full account can be found at the nobel site prize: Scientific background on the Nobel Prize in Physics 2016
where three of the references are to the book by the Physics Department chair, Assa Auerbach, and to papers by Yosi Avron and Ari Turner.
David Thouless was one of the LITP's earliest distinguished lecturers in 1997, speaking on ''Topological Quantum Numbers''
F. Duncan M. Haldane participated serval LITP conferences , the last conference was in last June “Interacting Electrons and Quantum Magnetism” ( see his talk at youtube)
Also, Mr. Kapon Itzik won the Alfred & Judea Weissman prize and the Muriel and David G'knao prize for sustained excellence in teaching for spring semester 2015 and winter semester 2015-16.
The Moon, and the question of how it was formed, has long been a source of fascination and wonder. Now, a team of Israeli researchers suggests that the Moon we see every night is not Earth’s first moon, but rather the last in a series of moons that orbited the Earth in the past. The findings by the team of researchers from the Technion-Israel Institute of Technology and the Weizmann Institute of Science are published today in Nature Geoscience.
The newly proposed theory by researchers Assistant Prof. Hagai Perets, of the Technion, and Weizmann Institute Raluca Rufu (lead author) and Prof. Oded Aharonson, runs counter to the commonly held “giant impact” paradigm that the moon is a single object that was formed following a single giant collision between a small Mars-like planet and the ancient Earth.
see more about this at the New Yorker - the meny-moons theory by Alan Burdick, Science Daily - How Earth's previous moons collided to form the moon: New theory
in Hebrew: Ynet