Conventional light sources emit a large number of photons in a wide angular range and are mainly used for illumination or imaging purposes. Technological advances have allowed the dimensions of the components of devices to be reduced to the nanometre scale, and intriguing quantum mechanical effects have come into play. We are now able to manipulate matter at the atomic level and generate single photons, the smallest constituents of light, on-demand. The ability to control light emission at its smallest level, the single photon, is technologically challenging but tremendously interesting. The next revolution in communication is expected to take place by implementing quantum devices where light-matter interaction is engineered such that information can be stored in single photons that circulate between optical cavities within a photonic network. Given their scalability and the possibility of on-chip integration, solid-state single-photon sources are expected to be the building blocks of these novel quantum architectures. If we can store information on a single photon level, we can transfer it at the speed of light with a guaranteed secure communication: any measurement by an unwanted observer will leave a trace that will be visible to the receiver, thus unveiling the steal of information. However, several challenges are still limiting the implementation of quantum information technology in everyday life: the emitted photons only preserve their properties over a very short time-scale, often requiring cryogenic-cooled emitters excited by external lasers, and networks where information can be efficiently stored and shared are still lacking. In this project we will investigate how the presence of nanometre-scale emitters buried within a semiconductor slab affects the surface morphology and how this, in return, impacts the properties of the single photons emitted. The outcome of this work will represent a step forward in the understanding of the emission properties of quantum light sources, allowing to improve the quality and reliability of single-photon emission, essential for information technology applications, like quantum computing and cryptography.

This Centre for Doctoral training in Industrially Focused Mathematical Modelling will train the next generation of applied mathematicians to fill critical roles in industry and academia. Complex industrial problems can often be addressed, understood, and mitigated by applying modern quantitative methods. To effectively and efficiently apply these techniques requires talented mathematicians with well-practised problem-solving skills. They need to have a very strong grasp of the mathematical approaches that might need to be brought to bear, have a breadth of understanding of how to convert complex practical problems into relevant abstract mathematical forms, have knowledge and skills to solve the resulting mathematical problems efficiently and accurately, and have a wide experience of how to communicate and interact in a multidisciplinary environment. This CDT has been designed by academics in close collaboration with industrialists from many different sectors. Our 35 current CDT industrial partners cover the sectors of: consumer products (Sharp), defence (Selex, Thales), communications (BT, Vodafone), energy (Amec, BP, Camlin, Culham, DuPont, GE Energy, Infineum, Schlumberger x2, VerdErg), filtration (Pall Corp), finance (HSBC, Lloyds TSB), food and beverage (Nestle, Mondelez), healthcare (e-therapeutics, Lein Applied Diagnostics, Oxford Instruments, Siemens, Solitonik), manufacturing (Elkem, Saint Gobain), retail (dunnhumby), and software (Amazon, cd-adapco, IBM, NAG, NVIDIA), along with two consultancy companies (PA Consulting, Tessella) and we are in active discussion with other companies to grow our partner base. Our partners have five key roles: (i) they help guide and steer the centre by participating in an Industrial Engagement Committee, (ii) they deliver a substantial elements of the training and provide a broad exposure for the cohorts, (iii) they provide current challenges for our students to tackle for their doctoral research, iv) they give a very wide experience and perspective of possible applications and sectors thereby making the students highly flexible and extremely attractive to employers, and v) they provide significant funding for the CDT activities. Each cohort will learn how to apply appropriate mathematical techniques to a wide range of industrial problems in a highly interactive environment. In year one, the students will be trained in mathematical skills spanning continuum and discrete modelling, and scientific computing, closely integrated with practical applications and problem solving. The experience of addressing industrial problems and understanding their context will be further enhanced by periods where our partners will deliver a broad range of relevant material. Students will undertake two industrially focused mini-projects, one from an academic perspective and the other immersed in a partner organisation. Each student will then embark on their doctoral research project which will allow them to hone their skills and techniques while tackling a practical industrial challenge. The resulting doctoral students will be highly sought after; by industry for their flexible and quantitative abilities that will help them gain a competitive edge, and by universities to allow cutting-edge mathematical research to be motivated by practical problems and be readily exploitable.

The EPSRC Centre for Doctoral Training in Renewable Energy Northeast Universities (ReNU) is driven by industry and market needs, which indicate unprecedented growth in renewable and distributed energy to 2050. This growth is underpinned by global demand for electricity which will outstrip growth in demand for other sources by more than two to one (The drivers of global energy demand growth to 2050, 2016, McKinsey). A significant part of this demand will arise from vast numbers of distributed, but interconnected devices (estimated to reach 40 billion by 2024) serving sectors such as healthcare (for ageing populations) and personal transport (for reduced carbon dioxide emission). The distinctive remit of ReNU therefore is to focus on materials innovations for small-to-medium scale energy conversion and storage technologies that are sustainable and highly scalable. ReNU will be delivered by Northumbria, Newcastle and Durham Universities, whose world-leading expertise and excellent links with industry in this area have been recognised by the recent award of the North East Centre for Energy Materials (NECEM, award number: EP/R021503/1). This research-focused programme will be highly complementary to ReNU which is a training-focused programme. A key strength of the ReNU consortium is the breadth of expertise across the energy sector, including: thin film and new materials; direct solar energy conversion; turbines for wind, wave and tidal energy; piezoelectric and thermoelectric devices; water splitting; CO2 valorisation; batteries and fuel cells. Working closely with a balanced portfolio of 36 partners that includes multinational companies, small and medium size enterprises and local Government organisations, the ReNU team has designed a compelling doctoral training programme which aims to engender entrepreneurial skills which will drive UK regional and national productivity in the area of Clean Growth, one of four Grand Challenges identified in the UK Government's recent Industrial Strategy. The same group of partners will also provide significant input to the ReNU in the form of industrial supervision, training for doctoral candidates and supervisors, and access to facilities and equipment. Success in renewable energy and sustainable distributed energy fundamentally requires a whole systems approach as well as understanding of political, social and technical contexts. ReNU's doctoral training is thus naturally suited to a cohort approach in which cross-fertilisation of knowledge and ideas is necessary and embedded. The training programme also aims to address broader challenges facing wider society including unconscious bias training and outreach to address diversity issues in science, technology, engineering and mathematics subjects and industries. Furthermore, external professional accreditation will be sought for ReNU from the Institute of Physics, Royal Society of Chemistry and Institute of Engineering Technology, thus providing a starting point from which doctoral graduates will work towards "Chartered" status. The combination of an industry-driven doctoral training programme to meet identifiable market needs, strong industrial commitment through the provision of training, facilities and supervision, an established platform of research excellence in energy materials between the institutions and unique training opportunities that include internationalisation and professional accreditation, creates a transformative programme to drive forward UK innovation in renewable and sustainable distributed energy.

The FIB/SEM instrument proposed combines various components to provide a powerful tool for a range of advanced nanoscale science. An accelerated ion beam focused to a spot size as small as 5 nanometres can be used to mill and slice materials with extreme precision, while an electron beam and various detectors provide means for nanoscale imaging and characterisation of the surfaces produced. A nanomanipulator probe allows samples to be rotated in-situ and for nanoscale slices of material to be lifted out for further study or use in devices. We will use this instrument in two main ways: 1) Fabrication of micro-optical components In Oxford we have in the past six years pioneered the use of focused ion beams to fabricate surfaces on materials such as fused silica or silicon with nanometre precision and sub-nanometre roughness. This allows us to create devices in which light is stored and manipulated with ultra-low scattering losses, and in which the interaction between light and matter is controlled with exquisite accuracy. We have already had considerable success with this technique on a small scale but are limited in the size of features we can produce. In this new instrument the sample can be moved with extremely high accuracy allowing larger surfaces to be patterned and enabling more complex and extended optical devices that reveal new physics and can be used as key components in a range of technologies. Photonics underpins a diverse range of industry in the UK and we anticipate that our work will lead to innovations in advanced information technologies and sensor systems for defence, healthcare and environmental monitoring, as well as the new field of Quantum Technologies in which the government is currently investing significant resources. 2) Characterisation of Materials Oxford Materials department has long been a world-leading centre for materials characterisation, with particular contributions in electron microscopy and the microstructure of metals. It maintains a wide range of state-of-the-art instruments that are used both as high end scientific tools and as platforms for developing new techniques in microanalysis. This instrument will be used in both ways. It offers leading edge capabilities is 3D characterisation of material defects and impurities at the nanoscale that will enable new techniques aimed at understanding materials with unprecedented detail, and will be applied to solving key problems in the fields of nuclear materials, aerospace alloys, catalysis, and high temperature superconductors. Many of these projects are carried out in collaboration with industry, providing excellent routes towards commercial and societal impact as well as development of new knowledge. In collaboration with a local company (Oxford Instruments) we will try out prototype detector systems to accelerate instrument development and maintain our position at the forefront of this important field. As well as the projects described above, a percentage of time on the instrument will be made available to outside users who will be able to find out about the instrument via our website and annual open days, and apply for instrument time to carry out their own research. The Oxford Materials department has extensive instrument support and user training programmes to ensure that all users can obtain the best from their instrument time. To ensure that the scientific projects pursued are of the highest quality, the use of the instrument and time allocation will be carried out by a steering board of experts who will meet at quarterly intervals.

In 2019 48.5% of the 32 GW daily average energy demand in the UK was carbon-free - contributed by wind farms, solar and nuclear energy, alongside energy imported by subsea interconnectors and biomass. This trend supports the "net zero" commitment signed by the government in 2019. However, significant technologies still need to be developed to enable this goal. One key such technology is high voltage direct current (HVDC) grid level transmission which will enable the "supergrid". This is a network of long distance power transmission lines across and between countries and those aforementioned energy production facilities, particularly in remote locations such as offshore wind farms. Increasing the efficiency and power rating of each grid interconnection (as well as reducing their volume and weight) it would mean more widespread implementation and hence better energy security, lower carbon footprint and better energy economy for the UK. Within most interconnectors, 50% of the volume is the power electronics devices, traditionally made from Silicon technology. Silicon Carbide (SiC) has clear advantages over current Silicon technology such as high temperature and higher frequency operation, with lower resultant system weight and volume. Recently, commercially available SiC power devices have recently entered the market with force, predicted to be worth $2bn by 2024, with rapid growth in this technology is being actively driven by a number of early adopters in the automotive sector, e.g. Tesla. However for high voltage (>1.7 kV) power transmission, bipolar Silicon devices (IGBTs, GTOs) are more efficient - so the technology must presently be chosen relative to application. To remove this restriction, SiC power devices of all types can be additionally bolstered by SuperJunction (SJ) technology, improving the efficiencies of the material and fully ready to challenge Si technology. This proposal intends on developing new 6.5 kV SiC SJ materials and devices technology for the goal of increased power transmission. Current research in SiC SJ devices consists only of a handful of reports on single devices, whilst encouraging, the technology is still in its infancy. The UK has an opportunity to develop the technology from the ground up and become a serious international name. The major challenge being that SiC processing methods fall short of being able to mass-produce the superjunction material, with one method being expensive and complicated, another requiring very tight precision of parameters and the last compromising on current rating. Specifically here we propose to develop Trench Epitaxy (TE), which deposits crystalline materials in very high aspect ratio micro trenches. The deposition method is chemical vapour deposition (CVD), which is accepted as the industry gold standard of fast throughput, high quality materials production and so must be the method of choice when developing this technology. The challenges in developing TE lie in the transport of the gases to the bottom of the trenches to a) etch the material, b) condition it ready for deposition and c) fully refilling the trenches with modified material and d) ensuring the surface is returned to its previous state. The more complex challenges lie in the non-mutually exclusive chemical nature of the work, where a change in one parameter may change many more. Warwick currently houses the only industrial SiC CVD in the UK, has a dedicated SiC device fabrication cleanroom and many analytical tools so is the ideal place for the UK to enter this field with the view to contributing to the technology at the point of entry. The University of Warwick is a key member of EPSRC Centre for Power Electronics and is part of the £17M APC-12 ESCAPE (End-to-end Supply Chain development for Automotive Power Electronics) project which is developing a UK centred SiC production line, led by McLaren, so pathways exist of fully implementing TE SiC SJ technology after development.