Topological 1D Systems
Argonne National Laboratory
In this talk, I will present recent theoretical work on the topological properties of a selection of 1D systems. Examples include p-wave superconductors, Majorana chains as well as chains composed of more exotic objects such as Fibonacci anyons. For the case of p-wave superconductors, I will discuss the fate of Majorana end modes in the presence of periodic, quasiperiodic, and disordered potentials. Chains composed of a variety of non-Abelian anyons host topologically protected end modes. I will present a method of analyzing such systems based on boundary conformal field
theory. Finally, I will discuss efforts by the Kwok group at Argonne to observe Majorana fermions in topological insulating nanowires which exploits topological features of coupled Majorana chains.
2115 Computer and Space Sciences
College Park, MD 20742