I study systems with strong spin-orbit interactions, such as topological insulators and electrons and holes in semiconductor nanostructures. My interests also include graphene, whose Hamiltonian resembles that of spin-orbit coupled systems, with the real spin replaced by a lattice pseudospin degree of freedom.
In these systems I am interested primarily in nonequilibrium phenomena such as charge and spin transport, and spin relaxation and dephasing. Of particular interest to me is the interplay of spin-orbit coupling with strong interactions and disorder, as well as with external electric and magnetic fields. Topics I have focused on lately include screening and Friedel oscillations, magnetic instabilities, the Kondo effect, and disorder effects such as weak localisation.
My second area of research is concerned with quantum dots, specifically using confined spins and pseudospins for quantum computing. I am interested in qubit architectures, entanglement schemes, as well as transport, relaxation and dephasing of spins and pseudospins in quantum dots. 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 that we do not understand.