The electronic properties of solids provide a vast range of different phenomena which depend crucially on the quantum nature of the electrons. Because of the strange properties of many-body quantum-physics each material behaves in a unique way. 

The phenomena that are found in solid materials include highly correlated metals (such as ‘heavy fermions’ or Kondo spin liquids), high temperature superconductivity, magnetism, spintronics, the exotic properties of graphene, fractionally charged anyons and topological quantum effects, including topological insulators with conjectured Majorana and Weyl fermionic excitations.

Many materials have the potential to transform industry and human lives in the way that semiconductor electronics has done in the past and spintronics and graphene have the potential to do in the future. Understanding this vast range of systems requires a broad set of theoretical techniques ranging from large scale supercomputer calculations to investigations of simplified model Hamiltonians by methods of quantum field theory and statistical mechanics.

Systems of specific interest to us include unconventional superconducting materials and materials with novel types of order, ferromagnet-superconductor nanostructures and topological superconductivity. The novel types of order of interest to us arise when the microscopic interactions between spins, charges and orbitals give rise to unconventional magnetism, charge density waves or orbitally ordered structures.