We are a theoretical group interested in understanding how macroscale, collective behavior of electrons and atoms in matter emerges from the laws of quantum mechanics governing their motion on the microscopic scale. Our research activities primarily involve the use of analytical tools, supplemented by numerical techniques, to study the transport of mass, charge, spin, and/or heat through various low-dimensional quantum matter, systems tuned close to thermal and quantum critical points, magnetically ordered systems (e.g., ferromagnets and antiferromagnets), as well as quantum spin systems hosting a myriad of interesting phenomena such as topological order and emergent excitations with fractional quantum numbers and statistics. Of particular interest is nonequilibrium spin transport through insulating spin systems, an emerging subfield of condensed matter physics, still largely unexplored but a topic of relevance due to the recent exciting experimental developments that have come out of the field of spintronics. 

Our research maintains a strong synergy with experiments; they are a driving force for our theoretical efforts, and our goal, in turn, is to stimulate future experiments. Transport properties of different materials are theoretically studied with the machinery of linear-response theory, nonequilibrium quantum field theory, semi-classical dynamics, the renormalization group technique, scaling theories and more. While our ultimate goal is to advance our fundamental understanding of quantum matter via transport studies, an important subset of our work focuses on proposing novel device applications, such as new platforms for classical and quantum computation, based on the theoretical understanding that we develop through our research.