LABORATOIRE DE PHYSIQUE THEORIQUE DE LA MATIERE CONDENSEE

Andrej Mesaros (LPS Orsay)

Fractionalized particles on defects in topological insulators and superconductors

Recent experiments on one-dimensional and two-dimensional materials have been very successful in realizing topological states of electrons, with one of ultimate goals being the creation of emergent Majorana particles. Such emergent particles have fractional charge, spin, and/or quantum statistics, so they are interesting both fundamentally and for applications, but remain hard to realize.
We will discuss the use of intrinsic and extrinsic topological defects as a way to realize fractional particles. By combining analytic and numerical approaches we predict Majorana particles, having favorable energetic properties, in certain vortices of two-dimensional superconductors consistent with recent experiments at INSP. We will also focus on lattice dislocations in topological insulators as realizations of more complex fractional particles. General properties of fractionalized particles will also be discussed.