[School of Natural Sciences PhD Scholarships] Engineering Topology, Magnetism and Correlations in Moiré Quantum Materials

About the project

About the Project Two-dimensional quantum materials are creating new opportunities to design electronic states that have no direct counterpart in conventional solids. When atomically thin crystals are stacked with a relative twist or lattice mismatch, long-wavelength moiré patterns can emerge, profoundly reshaping their electronic structure and giving rise to new forms of topology, magnetism and electronic correlation. This PhD project will investigate how these effects can be engineered in moiré and lattice-mismatched two-dimensional quantum materials. The aim is to understand how parameters such as lattice mismatch, twist angle, stacking configuration, strain, spin-orbit coupling and interlayer hybridisation can be used to create and control novel quantum phases. The project will be primarily theoretical and computational. You will use state-of-the-art first-principles electronic-structure methods, together with Wannier and tight-binding models, symmetry analysis and large-scale numerical simulations, to study realistic quantum materials and heterostructures. Depending on the direction of the project, you may also explore disorder, quasiparticle interference, transport, many-body effects or machine-learning approaches. A central goal will be to connect microscopic theory with experimentally measurable signatures, allowing theoretical predictions to guide experiments and helping to interpret emerging results from collaborating experimental groups. You will receive training in density-functional theory, electronic-structure modelling, high-performance computing, scientific programming and advanced numerical techniques. The project will suit a student with a strong background in quantum mechanics and condensed-matter physics who is interested in computational physics, quantum materials and the discovery of new electronic phases. The project offers considerable flexibility for the student to develop their own direction within the broader themes of topology, magnetism, correlations and low-dimensional quantum matter. This project is expected to start in September 2027. Before you apply: We strongly recommend that you contact the supervisors for this project before you apply. How to apply: To be considered for this project you must complete a formal application through our online application portal. If you already have an applicant account this link will directly open an application for PhD School of Natural Sciences Scholarships . If you don’t already have an applicant account, please follow the instructions here . When applying, please specify the full title and supervisor/s of the project, details of your previous study, and names and contact details of two referees. You must also upload a Supporting Statement describing your motivation to apply to the project, your CV and transcripts of awarded and in-progress university qualifications . Please note late or incomplete applications will not be considered. Equality, diversity and inclusion are fundamental to the success of The University of Manchester and central to all our activities. A diverse research community strengthens creativity, productivity and quality, while increasing the societal and economic impact of our work. We welcome applicants from all career paths, backgrounds and sections of the community, regardless of age, disability, ethnicity, gender, gender expression, sexual orientation or transgender status. We welcome applications from candidates returning to study after a career break or experience in other roles. Flexible study arrangements may be available, including part-time study at 50%, 60% or 80%, subject to the requirements of the project and funder. Eligibility : The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree in Physics (or international equivalent) OR any upper-second class (2:1) honours degree and a Master’s degree at merit in Physics (or international equivalent). Previous research experience in condensed matter physics and/or computational modelling is desirable. Familiarity with programming (e.g. Python, C/Fortran) and a strong interest in quantum materials, magnetism, and topology will be considered advantageous. This project will remain open until filled. If your application is submitted by 1 st November 2026, you can expect a decision by 18 th December 2026. If your application is submitted by 15 th January 2027, you can expect a decision by 30 th March 2027. Self or externally funded students can also be considered for this project. FSESoNS

Research areas