Signatures of Majorana-like Quasiparticles in Few-body Lattice Models

There is a strong interest in number conserving systems that exhibit Majorana fermions as quasiparticles. We utilize a number-conserving analog of the Kitaev wire model due to Iemini et al. in the small-lattice limit to examine signatures of topological properties in small systems. This interacting model exhibits several signatures of topological regime, such as identical entanglement spectra for the ground states in distinct parity sectors. Additionally, the Hamiltonian is akin to the BCS Hamiltonian, suggesting Bogoliubov rotations and approximations, allowing us to further examine this model in this regard. In this work, we demonstrate these signatures of different topological order in small lattice sizes to find evidence of isolated Majorana quasiparticles.

Refs:
[1] A. Yu Kitaev 2001 Phys.-Usp. 44 131
[2] F. Iemini, et al. 2017 PRL 118 200404