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Volume 9
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Article

Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study

by
Giovanni Nunziante
1,2,
Alfonso Maiellaro
1,3,*,
Claudio Guarcello
1,3 and
Roberta Citro
1,3,*
1
Dipartimento di Fisica “E.R. Caianiello”, Università di Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, Italy
2
Istituto di Scienze Marine (ISMAR), Consiglio Nazionale delle Ricerche (CNR), 00133 Rome, Italy
3
Gruppo Collegato di Salerno, Sezione di Napoli, Istituto Nazionale di Fisica Nucleare (INFN), 84084 Fisciano, Italy
*
Authors to whom correspondence should be addressed.
Condens. Matter 2024, 9(1), 20; https://doi.org/10.3390/condmat9010020
Submission received: 21 January 2024 / Revised: 10 March 2024 / Accepted: 11 March 2024 / Published: 20 March 2024
(This article belongs to the Special Issue Multicomponent Superconductivity and Superfluidity)
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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.
Keywords: topological superconductivity; Kitaev chain; Majorana fermions topological superconductivity; Kitaev chain; Majorana fermions

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MDPI and ACS Style

Nunziante, G.; Maiellaro, A.; Guarcello, C.; Citro, R. Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study. Condens. Matter 2024, 9, 20. https://doi.org/10.3390/condmat9010020

AMA Style

Nunziante G, Maiellaro A, Guarcello C, Citro R. Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study. Condensed Matter. 2024; 9(1):20. https://doi.org/10.3390/condmat9010020

Chicago/Turabian Style

Nunziante, Giovanni, Alfonso Maiellaro, Claudio Guarcello, and Roberta Citro. 2024. "Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study" Condensed Matter 9, no. 1: 20. https://doi.org/10.3390/condmat9010020

APA Style

Nunziante, G., Maiellaro, A., Guarcello, C., & Citro, R. (2024). Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study. Condensed Matter, 9(1), 20. https://doi.org/10.3390/condmat9010020

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