Condensed matter physics is a major underpinning area of science and technology. For example, the physics of electrons in solids underpins much of modern technology and will continue to do so for the foreseeable future. We propose to create a Centre for Doctoral Training (CDT) which will address the national need to develop researchers equipped with the skill sets and perspective to make worldwide impact in this area. The research themes covered address some very fundamental questions in science such as the physics of superconductors, novel magnetic materials, single atomic layer crystals, plasmonic structures, and metamaterials, and also more applied topics in the power electronics, optoelectronics and sensor development fields. There are strong connections between fundamental and applied condensed matter physics. The goal of the Centre is to provide high calibre graduates with a focussed but comprehensive training programme in the most important physical aspects of these important materials, from intelligent design (first principles electronic structure calculations and modelling), via cutting-edge materials synthesis, characterisation and sophisticated instrumentation, through to identification and realisation of exciting new applications. In addition programme development will emphasise transferable skills including business & enterprise, outreach and communication. As stated in the impact section, physics-dependent businesses are of major importance to the UK economy.