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- Title
Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study.
- Authors
Nunziante, Giovanni; Maiellaro, Alfonso; Guarcello, Claudio; Citro, Roberta
- Abstract
In this work, we study the topological phase transitions of a Kitaev chain generalized by the addition of nearest-neighbor Coulomb interaction. We show the presence of a robust topological phase as a function of the interaction strength and of the on-site energy with associated non-zero energy Majorana states localized at the chain edges. We provide an effective mean-field model that allows for the self-consistent computation of the mean value of the local particle number operator, and we also perform Density Matrix Renormalization Group numerical simulations based on a tensor network approach. We find that the two methods show a good agreement in reporting the phase transition between trivial and topological superconductivity. Temperature robustness within a physically relevant threshold has also been demonstrated. These findings shed light on an entire class of topological interacting one-dimensional systems in which the effects of residual Coulomb interactions play a relevant role.
- Subjects
PHASE diagrams; DENSITY matrices; PHASE transitions; RENORMALIZATION group; SUPERCONDUCTIVITY; TENSOR fields
- Publication
Condensed Matter, 2024, Vol 9, Issue 1, p20
- ISSN
2410-3896
- Publication type
Article
- DOI
10.3390/condmat9010020