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We study the low-energy physics of a one-dimensional array of superconducting quantum dots realized by proximity coupling a semiconductor nanowire to multiple superconducting islands separated by narrow uncovered regions. The effective…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 John P. T. Stenger , Benjamin D. Woods , Sergey M. Frolov , Tudor D. Stanescu

We summarize the key ingredients required for universal topological quantum computation using Majorana zero modes in networks of topological superconductor nanowires. Particular emphasis is placed on the use of both sparse and dense logical…

Quantum Physics · Physics 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang

Focusing on the implications of recent experiments on Majorana zero modes in semiconductor-superconductor (SM-SC) heterostructures, we critically examine the quantization of the zero-bias differential conductance as a possible unambiguous…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Chuanchang Zeng , Gargee Sharma , Sumanta Tewari , Tudor Stanescu

Majorana zero modes (MZMs) are highly sought-after states with a possible application in quantum computation. Here, we show that vortex-core MZMs can carry a nontrivial angular momentum. This establishes new `flavors' of Majorana modes,…

Superconductivity · Physics 2026-01-19 Giulia Venditti , Christophe Berthod , Louk Rademaker

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

Half-integer conductance, the signature of Majorana edge modes, has been recently observed in a quantum anomalous Hall insulator/superconductor heterostructure. Here, we analyze a scheme for gate-tunable control of degenerate ground states…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Nima Djavid , Gen Yin , Yafis Barlas , Roger Lake

Majorana modes, typically arising at the edges of one-dimensional topological superconductors, are considered to be a promising candidate for encoding nonlocal qubits in fault-tolerant quantum computation. Here we propose to exploit the…

Quantum Physics · Physics 2020-02-11 Raditya Weda Bomantara , Jiangbin Gong

Majorana modes can be engineered in arrays where quantum dots (QDs) are coupled via grounded superconductors, effectively realizing an artificial Kitaev chain. Minimal Kitaev chains, composed by two QDs, can host fully-localized Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 R. Seoane Souto , V. V. Baran , M. Nitsch , L. Maffi , J. Paaske , M. Leijnse , M. Burrello

In this work, we demonstrate that making a cut (a narrow vacuum regime) in the bulk of a quantum anomalous Hall insulator (QAHI) creates a topologically protected single helical channel with counter-propagating electron modes, and inducing…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Ying-Ming Xie , Xue-Jian Gao , Tai-Kai Ng , K. T. Law

We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices…

Superconductivity · Physics 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

Qubits built out of Majorana zero modes (MZMs) constitute the primary path towards topologically protected quantum computing. Simulating the braiding process of multiple MZMs corresponds to the quantum dynamics of a superconducting…

Quantum Physics · Physics 2023-11-14 Eric Mascot , Themba Hodge , Dan Crawford , Jasmin Bedow , Dirk K. Morr , Stephan Rachel

We consider a mesoscopic superconducting island hosting multiple pairs of Majorana zero-energy modes. The Majorana island consists of multiple p-wave wires connected together by a trivial (s-wave) superconducting backbone and is…

Superconductivity · Physics 2020-11-16 Jukka I. Vayrynen , Adrian E. Feiguin , Roman M. Lutchyn

By tuning the magnetic flux, the two ends of a 1D topological superconductor weakly coupled to a normal metal as a ring-shaped junction can host split Majorana zero modes (MZMs). When this ring geometry becomes Coulomb blockaded, and the…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Ching-Kai Chiu , Jay D. Sau , S. Das Sarma

After exploring much on two-dimensional higher-order topological superconductors (HOTSCs) hosting Majorana corner modes (MCMs) only, we propose a simple fermionic model based on a three-dimensional topological insulator proximized with…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

Recently, iron-chalcogenide superconductors have emerged as a new and promising platform for studying and manipulating Majorana zero mode (MZM). By combining topological band structure and superconductivity in a multiband material, they…

We propose a novel scheme for performing Majorana zero mode (MZM) braiding utilizing cotunneling processes in a three-MZM system incorporating reference arms. This approach relies on the interference between cotunneling paths through the…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Zhen Chen , Yijia Wu , X. C. Xie

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea