Exact ground states for interacting Kitaev chains
Strongly Correlated Electrons
2023-02-28 v3 Mesoscale and Nanoscale Physics
Superconductivity
Mathematical Physics
math.MP
Abstract
We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system sizes. We present analytical results for the strong Majorana zero modes, the phase diagram and the topological order. Furthermore, we generalise our results to include interactions.
Cite
@article{arxiv.1808.06947,
title = {Exact ground states for interacting Kitaev chains},
author = {Jurriaan Wouters and Hosho Katsura and Dirk Schuricht},
journal= {arXiv preprint arXiv:1808.06947},
year = {2023}
}
Comments
corrected typo in (32) and (33), added clarifying remarks in App. D