The development of new techniques such as phase resolved Fourier transform spectroscopy, combined with the ability to work at extremely low temperatures, is enabling new classes of research on unconventional superconductivity. In the cuprate high temperature superconductors, the subtle interplay between different kinds of order can be studied , while the superconducting gap structures of materials with low transition temperatures can also be determined . Experiments of this kind have the promise of answering key questions about the mechanisms of unconventional superconductivity that cannot be addressed with other techniques. The energy resolution is far superior to that of most other spectroscopies, filled and empty states can be accessed, and the work can be performed in high magnetic fields. The successful candidate for this project will perform most of his/her experimental work on the world-leading instruments at Cornell University in the USA.
 M. H. Hamidian, S.D. Edkins, Chung Koo Kim, J. C. Davis, A. P. Mackenzie, H. Eisaki, S. Uchida, M. J. Lawler, E.-A. Kim, S. Sachdev, and K. Fujita, arXiv:1507.07865; to appear in Nature Physics.
 M.P. Allan, F. Massee, D.K. Morr, J. van Dyke, A.W. Rost, A.P. Mackenzie, C. Petrovic and J.C. Davis, Nature Physics 9, 468 (2013).