Our group focuses on two main areas: quantum transport and quantum computing. You can read our recent review on transport in topological materials here: https://iopscience.iop.org/article/10.1088/2053-1583/ab6ff7.
Our focus is on systems with strong spin-orbit interactions, such as topological insulators, Weyl semimetals, transition metal dichalcogenides and holes in semiconductor nanostructures. We are interested in nonequilibrium phenomena such as charge and spin transport that involve the interplay of spin-orbit coupling and associated topological quantities with disorder, carrier-carrier interactions, as well as external electric and magnetic fields.
At present our group is developing a program to understand the non-linear electrical and optical response of topological states, which serves as a platform towards an understanding of topological materials in general. Our recent work demonstrated that doped Dirac fermion systems exhibit a resonant photovoltaic response - you can read about it here: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.087402. Similarly, we demonstrated that spin-charge disorder correlations have a strong effect on anomalous Hall transport in topological insulators, and can even flip the sign of the conductivity, as observed experimentally: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.126603.
Another area of interest is the crossover between diffusive and ballistic transport in topological edge states and realising the promise of dissipationless transport. As part of FLEET and in collaboration with Prof. Michael Fuhrer's group at Monash we are working to understand the magneto-resistance of topological edge states following exciting experimental observations: https://arxiv.org/abs/1906.01214.
Topics we have focused on in the past include screening and Friedel oscillations, magnetic instabilities, the Kondo effect, weak localisation, spin relaxation and dephasing, and graphene, whose Hamiltonian resembles that of spin-orbit coupled systems, with the real spin replaced by a lattice pseudospin degree of freedom.
We are interested in quantum computing platforms and qubit architectures that employ spins confined in semiconductor quantum dots, as well as in atoms such as acceptors and donors. We study spin manipulation, relaxation, dephasing and entanglement schemes. Dephasing is especially important in quantum computing, since it is equivalent to a loss of information, and can hamper single-qubit operations as well as entanglement. It can come from noise, phonons, as well as other mechanisms. Our recent work showed this can be mitigated in semiconductor hole systems at specific optimal operation points, you can see our latest preprint on this topic here: https://arxiv.org/abs/1911.11143.