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One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

强关联电子 · 物理学 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley

A chain of quantum dots (QDs) in semiconductor-superconductor hybrid systems can form an artificial Kitaev chain hosting Majorana bound states (MBSs). These zero-energy states are expected to be localised on the edges of the chain, at the…

We study a system of interacting spinless fermions in one dimension which, in the absence of interactions, reduces to the Kitaev chain [A. Yu Kitaev, Phys.-Usp. \textbf{44}, 131 (2001)]. In the non-interacting case, a signal of topological…

强关联电子 · 物理学 2015-09-22 Hosho Katsura , Dirk Schuricht , Masahiro Takahashi

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

量子物理 · 物理学 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

We give a review on Poor Man's Majorana (PMM) modes, which are theoretically established in the minimal Kitaev chain implementation consisting of two grounded, spinless quantum dots (QDs) operating at the sweet spot condition, where…

介观与纳米尺度物理 · 物理学 2026-01-13 J. E. Sanches , T. M. Sobreira , L. S. Ricco , M. S. Figueira , A. C. Seridonio

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…

强关联电子 · 物理学 2023-02-28 Jurriaan Wouters , Hosho Katsura , Dirk Schuricht

We introduce the concept of spinful many-particle Majorana modes with local odd operator products, thereby preserving their local statistics. We consider a superconductor-double-quantum-dot system where these modes can arise with negligible…

介观与纳米尺度物理 · 物理学 2013-09-30 Anthony R. Wright , Menno Veldhorst

The Kitaev chain has been extensively explored in the context of uniform couplings, with studies focusing either on purely nearest-neighbor interactions or on systems dominated by long-range superconducting pairing. Building on these…

量子物理 · 物理学 2025-12-25 Rajiv Kumar , Rohit Kumar Shukla , Levan Chotorlishvili , Sunil Kumar Mishra

We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-Andr\'e-Harper on-site potential. Specifically, we consider algebraically decaying superconducting…

介观与纳米尺度物理 · 物理学 2021-03-01 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Debraj Rakshit , Maciej Lewenstein , Alexandre Dauphin

We study ground-state properties of a triangular triple quantum dot connected to two superconducting (SC) leads. In this system orbital motion along the triangular configuration causes various types of quantum phases, such as a Kondo effect…

介观与纳米尺度物理 · 物理学 2022-07-26 Akira Oguri , Izumi Sato , Masashi Shimamoto , Yoichi Tanaka

The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological…

强关联电子 · 物理学 2020-03-04 Joelson F. Silva , Luis G. G. V. Dias da Silva , E. Vernek

Connecting quantum dots through Andreev bound states in a semiconductor-superconductor hybrid provides a platform to create a Kitaev chain. Interestingly, in a double quantum dot, a pair of poor man's Majorana zero modes can emerge when the…

介观与纳米尺度物理 · 物理学 2025-02-06 Juan Daniel Torres Luna , A. Mert Bozkurt , Michael Wimmer , Chun-Xiao Liu

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

A minimal Kitaev chain, consisting of two quantum dots connected via a superconductor, can host highly localized near-zero-energy states, known as poor man's Majoranas (PMMs). These states have been proposed as promising candidates to study…

介观与纳米尺度物理 · 物理学 2025-03-25 Melina Luethi , Henry F. Legg , Daniel Loss , Jelena Klinovaja

We investigate theoretically the features of the Majorana hallmark in the presence of Coulomb repulsion between two quantum dots describing a spinless Aharonov-Bohm-like interferometer, where one of the dots is strongly coupled to a Kitaev…

强关联电子 · 物理学 2015-12-14 L. S. Ricco , Y. Marques , F. A. Dessotti , M. de Souza , A. C. Seridonio

We prove that quantum information encoded in some topological excitations, including certain Majorana zero modes, is protected in closed systems for a time scale exponentially long in system parameters. This protection holds even at…

统计力学 · 物理学 2017-12-20 Dominic V. Else , Paul Fendley , Jack Kemp , Chetan Nayak

For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This…

介观与纳米尺度物理 · 物理学 2021-05-13 M. S. Shustin , S. V. Aksenov

Motivated by the recent experimental realization of a minimal Kitaev chain in quantum dot systems, we present our theoretical findings on the dynamics and fusion of MZMs at or near the $``$sweet spot" $t_h = \Delta$ (where the fermionic…

超导电性 · 物理学 2024-07-31 Bradraj Pandey , Elbio Dagotto

Kitaev chains realized in quantum dots coupled via superconducting segments provide a controllable platform for engineering Majorana zero modes (MZMs). In these systems, subgap states in the hybrid region mediate the effective coupling…

介观与纳米尺度物理 · 物理学 2026-04-16 M. Alvarado , R. Seoane Souto , María José Calderón , Ramón Aguado

Minimal Kitaev chains host Majorana quasiparticles, which, although not topologically protected, exhibit spatial nonlocality and hence expected to be useful for quantum information tasks. In this work, we consider two- and three-site Kitaev…

量子物理 · 物理学 2025-07-24 Vimalesh Kumar Vimal , Jorge Cayao