"Majorana fermions from disorder"
In this talk I will focus on inducing topological state from regular, or
irregular scattering in (i) p-wave superconducting and (ii) proximity coupled
Rashba wires. In particular, I will discuss how, while being detrimental to the
topological order in p-wave wires, the disorder can {\it induce} topological
state in Rashba wires contrary to common expectations. The total phase space
area of the topological state is conserved for long disordered wires, and can
even be increased in an appropriately engineered superlattice potential. I will
also discuss how, in finite wires, the Majorana state oscillates as a function
of chemical potential and magnetic field. I will conclude with a discussion of
recent experiments, which was conducted on dirty Rashba wires, in the light of
these new results.