Designer thin film heterostructures of strongly correlated electron systems are an exciting playground for condensed matter physics, not only for the opportunities that they provide for fundamental research but also for the potential technological impact they could have. They are one of the most promising avenues to develop advanced materials technology that allows one to design and assemble materials of near-arbitrary electronic, magnetic and structural properties. Long term success could mean the integration of such properties as superconductivity (allowing power transmission without loss), spin currents (transporting information without charge) or thermoelectricity (efficiently converting heat into electricity). This search for new, multifunctional capabilities is a major ambition of research into such artificial 'designer' heterostructures of transition metal oxides, in which structural, magnetic and electric properties are strongly linked, resulting in multifunctional capabilities. In recent years we have become adept at depositing such complex materials with atomic precision layer by layer. This has led to a range of unexpected discoveries rooted in the fact that such materials go well beyond the paradigm of standard semiconductor physics with their electrons not behaving independently but instead strongly interacting. The quantum mechanical correlations driving the unusual properties of the bulk also lead to the emergence of new physics at both interfaces and in heterostructures that can now be tuned through composition control on atomic lengthscales. Famous examples are the emergence of a superconducting metal at the interface of two insulators and the giant magnetoresistance effect discovered a quarter of a century ago and now at the heart of almost every hard drive. Current research in transition metal oxide heterostructures therefore combines discovery and the quest for understanding. My proposal is situated at this frontier. I am planning to investigate new materials that display phenomena that are impossible or very difficult to stabilize in bulk material. These include unconventional superconductivity, the effect of strong correlations on topological insulators and spin liquids/spin ice in low dimensions. A core role in this research program is played by the creation of a new bespoke experimental platform tailored to thin film materials. In current thin film research the standard measurement tool is electric conductivity, with other highly specialized techniques playing a more restricted role due to current technical constraints. Measuring other key quantities relating experiment to theory, such as magnetic properties or the capability of storing and releasing heat is much more challenging. The reason is that typical designer heterostructures have a thickness a thousand times thinner than a human hair. Their thermodynamic signatures are vanishingly small compared to everyday experience and require new, sensitive tools for their measurement. I will use state-of-the-art thin film fabrication tools and ultra-thin membranes to create such bespoke tools to overcome this challenge.

The aim of this Centre for Doctoral Training (CDT) is to equip students with essential interdisciplinary skills needed by industry and to deliver cutting edge research in the area of superconductivity. The unique properties of superconducting materials mean that they can deliver revolutionary technologies which will help to decarbonize our energy production and improve healthcare. Superconductors are also an essential component in many quantum devices such as those used for quantum computing. The promise of limitless carbon free power promised by magnetically confined plasma nuclear fusion reactors can only be realised using superconducting magnets. Other major applications under development, which also will contribute to reducing carbon emissions include superconducting cables for electrical power transmission, light and powerful motors and generators for electric and hybrid power aircraft, superconducting magnetically levitating trains and high efficiency generators for wind-power generators. Development, manufacture, and deployment of these technologies needs people with the skills our CDT will deliver. Superconductors are also an essential component in magnetic resonance imaging (MRI) machines used for medical diagnosis and this forms the majority of the current £7 billion per annum market in superconductors that is projected to double by 2030. Development of improved superconducting materials will transform MRI both in terms of reducing cost and thereby availability and enabling higher magnetic field strengths that increase resolution and enhanced diagnostic capabilities. We will capitalize on the UK's established leadership in superconductivity through the development of a CDT with cohort-based training that will engender teamwork and an interdisciplinary approach in close collaboration with industry and international research facility partners. This is crucial to drive the development of these groundbreaking superconducting technologies and to empower our graduates with the combination of technical and personal skills sought after by industry. The CDT brings together graduate superconductivity training in the Universities of Bristol, Oxford and Cambridge across their Physics, Material Science, Engineering and Chemistry departments. The CDT is created in partnership with 26 industrial companies, international research institutions and other educational institutions. Our training programme includes lecture-based learning, extensive practical training in relevant techniques and experimental methods as well as real-world experience at implementing the knowledge gained within projects based at one of our partners. The CDT will form a nucleus for the UK superconductivity community offering training and networking opportunities to those outside of the CDT.

In a consortium led by Heriot-Watt with St Andrews, Glasgow, Strathclyde, Edinburgh, Dundee, Huddersfield and NPL, the "EPSRC CDT in Use-Inspired Photonic Sensing and Metrology" responds to the focus area of "Meeting a User-Need and/or Supporting Civic Priorities" and aligns to EPSRC's Frontiers in Engineering & Technology priority and its aim to produce "tools and technologies that form the foundation of future UK prosperity". Our theme recognises the key role that photonic sensing and metrology has in addressing 21st century challenges in transport (LiDAR), energy (wind-turbine monitoring), manufacturing (precision measurement), medicine (disease sensors), agri-food (spectroscopy), security (chemical sensing) and net-zero (hydrocarbon and H2 metrology). Building on the success of our earlier centres, the addition of NPL and Huddersfield to our team reflects their international leadership in optical metrology and creates a consortium whose REF standing, UKRI income and industrial connectivity makes us uniquely able to deliver this CDT. Photonics contributes £15.2bn annually to the UK economy and employs 80,000 people--equal to automotive production and 3x more than pharmaceutical manufacturing. By 2035, more than 60% of the UK economy will rely on photonics to stay competitive. UK companies addressing the photonic sensing and metrology market are therefore vital to our economy but are threatened by a lack of doctoral-level researchers with a breadth of knowledge and understanding of photonic sensing and metrology, coupled with high-level business, management and communication skills. By ensuring a supply of these individuals, our CDT will consolidate the UK industrial knowledge base, driving this high-growth, export-led sector whose products and services have far-reaching impacts on our society. The proposed CDT will train 55 students. These will comprise at least 40 EngD students, characterised by a research project originated by a company and hosted on their site. A complementary stream of up to 15 PhD students will pursue industrially relevant research in university labs, with more flexibility and technical risk than in an EngD project. In preparing this bid, we invited companies to indicate their support, resulting in £5.5M cash commitments for 102 new students, considerably exceeding our target of 55 students, and highlighting industry's appetite for a CDT in photonic sensing and metrology. Our request to EPSRC for £6.13M will support 35 students, with the remaining students funded by industrial (£2.43M) and university (£1.02M) cash contributions, translating to an exceptional 56% cash leverage of studentship costs. The university partners provide 166 named supervisors, giving the flexibility to identify the most appropriate expertise for industry-led EngD projects. These academics' links to >120 named companies also ensure that the networks exist to co-create university-led PhD projects with industry partners. Our team combines established researchers with considerable supervisory experience (>50 full professors) with many dynamic early-career researchers, including a number of prestigious research fellowship holders. A 9-month frontloaded residential phase in St Andrews and Edinburgh will ensure the cohort gels strongly, equipping students with the knowledge and skills they need before starting their research projects. These core taught courses, augmented with electives from the other universities, will total 120 credits and will be supplemented by accredited MBA courses and training in outreach, IP, communication skills, RRI, EDI, sustainability and trusted-research. Collectively, these training episodes will bring students back to Heriot-Watt a few times each year, consolidating their intra- and inter-cohort networks. Governance will follow our current model, with a mixed academic-industry Management Committee and an International Advisory Committee of world-leading experts.