The search for new phases of matter has lead to new materials with potential innovative applications, such as topological systems with their protected properties. CeFEMA’s strategy in this important research area (Nobel Prize 2016) is to study space-time topological systems, where a full exploration of their phases is far from complete, to study representative models including semi metal phases, identify the topological invariants, to relate static to space-time systems leading to phases topologically richer than the static ones, and also to study topological orders at zero and finite temperature through quantum (Q) information methods.
Interesting applications will be pursued in the fields of Q memories and topological Q computation using Majorana fermions in topological superconductors and teleportation of information through them. CeFEMA also plans to implement simulators of topological systems through electrical circuits with topological surface states that manifest themselves in boundary resonances appearing in the impedance readout of topo-electrical circuits.