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Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Themba Hodge , Tuan Kieu , Jasmin Bedow , Eric Mascot , Dirk K. Morr , Stephan Rachel

We theoretically investigate the spectral properties of a quantum impurity (QI) hosting the here proposed {Majorana-Ising-type quasiparticle (MIQ) excitation}. It arises from the coupling between a finite topological superconductor (TSC)…

Superconductivity · Physics 2023-12-13 J. E. Sanches , L. T. Lustosa , L. S. Ricco , I. A. Shelykh , M. de Souza , M. S. Figueira , A. C. Seridonio

We describe how microwave spectroscopy of cold fermions in quasi-1D traps can be used to detect, manipulate, and entangle exotic non-local qbits associated with "Majorana" edge modes. We present different approaches to generate the p-wave…

Quantum Physics · Physics 2013-12-23 Bhuvanesh Sundar , Erich J. Mueller

The ability to localize and manipulate individual quasiparticles in mesoscopic structures is critical in experimental studies of quantum mechanics and thermodynamics, and in potential quantum information devices, e.g., for topological…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Scott Mills , Anna Gura , Kenji Watanabe , Takashi Taniguchi , Matthew Dawber , Dmitri Averin , Xu Du

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional)…

Strongly Correlated Electrons · Physics 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

We investigate electron transport inside a ring system composed of a quantum dot (QD) coupled to two Majorana bound states confined at the ends of a one-dimensional topological superconductor nanowire. By tuning the magnetic flux threading…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Qi-Bo Zeng , Shu Chen , L. You , Rong Lv

We study the low-energy transport properties of a hybrid device composed by a native quantum dot coupled to both ends of a topological superconducting nanowire section hosting Majorana zero-modes. The account of the coupling between the dot…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 L. S. Ricco , Y. Marques , J. E. Sanches , I. A. Shelykh , A. C. Seridonio

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

Strongly Correlated Electrons · Physics 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds…

Materials Science · Physics 2024-11-07 Yufei Zhao , Yiyang Jiang , Hyeonhu Bae , Kamal Das , Yongkang Li , Chao-Xing Liu , Binghai Yan

We develop a theory of quantum spin Hall insulators with arbitrary spin $J$. Our analysis demonstrates that such systems support $J+\tfrac{1}{2}$ pairs of helical edge modes protected by nontrivial mirror Chern numbers. We establish that…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Takuto Kawakami , Igor Kuzmenko , Yshai Avishai , Yigal Meir , Masatoshi Sato

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

Topological quantum computation relies on a protected degenerate subspace enabling complicated operations in a noise-resilient way. To this end, hybrid platforms based on non-Abelian quasiparticles such as parafermions hold great promise.…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Alessio Calzona , Matteo Carrega , Luca Chirolli

Unconventional fermions with high degeneracies in three dimensions beyond Weyl and Dirac fermions have sparked tremendous interest in condensed matter physics. Here, we study quantum Hall effects (QHEs) in a two-dimensional (2D)…

Strongly Correlated Electrons · Physics 2017-10-11 Yong Xu , L. -M. Duan

We study the fermionic zero modes of BPS semilocal magnetic vortices in N=2 supersymmetric QED with a Fayet-Iliopoulos term and two matter hypermultiplets of opposite charge. There is a one-parameter family of vortices with arbitrarily wide…

High Energy Physics - Theory · Physics 2009-11-07 A. Achucarro , A. C. Davis , M. Pickles , J. Urrestilla

We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of…

Strongly Correlated Electrons · Physics 2015-06-04 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink , Sanjeev Kumar

Majorana zero modes (MZMs) emerge as edge states in topological superconductors and are promising for topological quantum computation, but their detection has so far been elusive. Here we show that non-Hermiticity can be used to obtain…

Superconductivity · Physics 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

The topological characteristics of the $p$-wave Kitaev chains on a square lattice with nearest-neighbor and next-nearest-neighbor inter-chains hopping and pairing are investigated. Besides gapless exact zero-energy modes, this model…

Other Condensed Matter · Physics 2024-10-08 S. Srinidhi , Aayushi Agrawal , Jayendra N. Bandyopadhyay

Topological aspects of superconductivity in quantum spin-Hall systems (QSHSs) such as thin layers of three-dimensional topological insulators (3D Tis) or two-dimensional Tis are in the focus of current research. We examine hybrid…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 R. W. Reinthaler , G. Tkachov , E. M. Hankiewicz

The conductance measurement of a half quantized plateau in a quantum anomalous Hall insulator-superconductor structure is reported by a recent experiment [Q. L. He \textit{et al.}, Science 357, 294-299 (2017)], which suggests the existence…

Mesoscale and Nanoscale Physics · Physics 2020-08-28 Yu-Hang Li , Jie Liu , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie