Résumé |
Systems of low dimensions have provided special opportunities, challenges, and
fascination for condensed matter physicists. Issues of long-range order,
dimensional crossover, and instabilities are all significant in such systems.
In this Talk, I provide a pedagogical overview of my theoretical research in
relation to low-dimensional systems ranging from nano ?zero-dimensional?
systems to (quasi) two-dimensional systems such as high-Tc superconductors,
graphene, and topological insulators. We shall also spend some time on
one-dimensional systems which are described by the Tomonaga-Luttinger paradigm.
Finally, I show that condensed matter concepts can also be applied to cold atoms
in optical lattices and photon systems, building a bridge towards quantum
optics. |