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We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

Disordered Systems and Neural Networks · Physics 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle

Minimal Kitaev chains, composed of two quantum dots (QDs) connected via a superconductor, have emerged as an attractive platform to realize Majorana bound states (MBSs). These excitations exist when the ground state is degenerate. The…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Rodrigo A. Dourado , Martin Leijnse , Rubén Seoane Souto

We theoretically investigate Majorana zero modes emerging in an anisotropic XY spin chain with second neighbor interactions. The spin chain is mathematically equivalent to the Kitaev chain composing of spinless fermions if only…

Strongly Correlated Electrons · Physics 2021-08-18 Kazuhiro Wada , Takanori Sugimoto , Takami Tohyama

It was predicted that a minimal chain of two quantum dots (QDs) connected via a superconductor can host perfectly localized zero-energy states, known as poor man's Majoranas (PMMs). It is expected that these states are related to Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-04-10 Melina Luethi , Henry F. Legg , Daniel Loss , Jelena Klinovaja

Electron pairing due to a repulsive Coulomb interaction in a triple quantum dot (TQD) is experimentally studied. It is found that electron pairing in two dots of a TQD is mediated by the third dot, when the third dot strongly couples with…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Changki Hong , Gwangsu Yoo , Jinhong Park , Min-Kyun Cho , Yunchul Chung , H. -S. Sim , Dohun Kim , Hyungkook Choi , Vladimir Umansky , Diana Mahalu

We study a double quantum dot connected via a common superconducting lead and show that this system can be tuned to host one Majorana bound state (MBS) on each dot. We call them "poor man's Majorana bound states" since they are not…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Martin Leijnse , Karsten Flensberg

The one dimension interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations and various physical quantities as functions of the fermion-fermion interaction $U$ are calculated…

Superconductivity · Physics 2018-05-08 Zhidan Li , Qiang Han

In this study, the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To analyze properties of edge states in the BDI-class structure…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 S. V. Aksenov , A. O. Zlotnikov , M. S. Shustin

Majorana bound states constitute one of the simplest examples of emergent non-Abelian excitations in condensed matter physics. A toy model proposed by Kitaev shows that such states can arise at the ends of a spinless $p$-wave…

Recent experimental advances in the field of cold atoms led to the development of novel techniques for producing synthetic dimensions and synthetic magnetic fields, thus greatly expanding the utility of cold atomic systems for exploring…

Quantum Gases · Physics 2018-03-28 Or Golan , Eran Sela , Kirill Shtengel

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on Majorana zero modes present in Kitaev…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Andrzej Więckowski , Andrzej Ptok

We investigate the effect of interatomic Coulomb repulsion $V$ and particular states disregarded previously on the Kitaev-transmon system proposed by Pino \textit{et al.} \cite{pino} which consists of a Josephson junction between two double…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Clara Palacios , Armando A. Aligia

Interacting fermionic chains exhibit extended regions of topological degeneracy of their ground states as a result of the presence of Majorana or parafermionic zero modes localized at the edges. In the opposite limit of infinite…

Strongly Correlated Electrons · Physics 2025-08-29 Niklas Tausendpfund , Aditi Mitra , Matteo Rizzi

We show that Majorana edge modes appear in a strongly correlated phase of semiconducting nanowires with discrete rotational symmetry in the cross section. These modes exist in the absence of spin-orbit coupling, magnetic fields and…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , Michele Burrello , Karsten Flensberg

It has been experimentally shown that negative exchange interactions can arise in a linear three-dot system when a two-electron double quantum dot is exchange coupled to a larger quantum dot containing on the order of one hundred electrons.…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Kuangyin Deng , F. A. Calderon-Vargas , Nicholas J. Mayhall , Edwin Barnes

We propose and theoretically investigate an alternative way to create the poor man's Majorana bound states (MBSs) introduced in Phys. Rev. B 86, 134528 (2012). Our proposal is based on two quantum dots (QDs) with strong electron-electron…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Athanasios Tsintzis , Rubén Seoane Souto , Martin Leijnse

The stability of the Majorana modes in the presence of a repulsive interaction is studied in the standard semiconductor wire - metallic superconductor configuration. The effects of short-range Coulomb interaction, which is incorporated…

Mesoscale and Nanoscale Physics · Physics 2014-04-17 Andrei Manolescu , D. C. Marinescu , Tudor D. Stanescu

Artificial Kitaev chains can be used to engineer Majorana bound states (MBSs) in superconductor-semiconductor hybrids. In this work, we realize a two-site Kitaev chain in a two-dimensional electrongas by coupling two quantum dots through a…

We propose and investigate a simple one-dimensional model for a single-channel quantum wire hosting electrons that interact repulsively and are subject to a significant spin-orbit interaction. We show that an external Zeeman magnetic field,…

Strongly Correlated Electrons · Physics 2020-10-29 Ren-Bo Wang , Akira Furusaki , Oleg A. Starykh

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

Strongly Correlated Electrons · Physics 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur