Zero energy Majorana modes in superconducting wires

Understand

I consider a model of two thin superconducting wires interacting through Josephson tunneling and Coulomb interactions.

• It is shown that there is a parameter range where such a model may have two ground states with different types of quasi-long-range order: one is superconducting and the other is pair density wave.
• It is further shown that boundaries between these different phases support zero energy Majorana modes and that these modes are robust against disorder.