Stability of Topological p-wave Superconductors Against Disorder and Interactions

Recent research has explored the stability of topological p-wave superconductors in the presence of disorder and interactions. The paper titled "Topological p-wave Superconductors with Disorder and Interactions" by Frederick Del Pozo, Loïc Herviou, Olesia Dmytruk, and Karyn Le Hur presents findings that could have significant implications for the development of quantum technologies, particularly in the realm of Majorana fermions, which are theorized to be useful for fault-tolerant quantum computing.

The authors employed a range of analytical and numerical methods to investigate coupled Kitaev wires, which are a model system for studying topological superconductivity. They established a topological marker that can be accessed through real-space correlation functions, which aids in identifying the stability of the topological superconducting phase.

One of the key findings is the identification of the double critical Ising (DCI) phase, a fractional Majorana liquid that remains stable against disorder when strong interactions are present. This phase is characterized by unique topological numbers and central charges, suggesting that it could be a robust platform for future applications.

Additionally, the study highlights how the DCI phase transitions into a protected topological phase with a bulk gap when inter-wire hopping is introduced. This transition is significant as it indicates potential pathways for stabilizing topological phases in practical applications, which is crucial for the advancement of quantum computing technologies.

The implications of these findings extend to the design and implementation of quantum devices that leverage topological properties, potentially leading to more resilient and efficient systems in the face of disorder, which is a common challenge in quantum materials.

For further details, the paper can be accessed at arXiv:2408.02105.