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A major challenge in developing topological superconductors for implementing topological quantum computing is their characterization and control. It has been proposed that a p-wave gapped topological superconductor can be fabricated with…

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

We introduce a new hybrid qubit consisting of a Majorana qubit interacting with a transmon longitudinally coupled to a resonator. To do so, we equip the longitudinal transmon qubit with topological quasiparticles, supported by an array of…

Quantum Physics · Physics 2020-09-28 Alec Dinerstein , Caroline S. Gorham , Eugene F. Dumitrescu

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

Superconductivity · Physics 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

Topological states of matter are a source of low-energy quasiparticles, bound to a defect or propagating along the surface. In a superconductor these are Majorana fermions, described by a real rather than a complex wave function. The…

Superconductivity · Physics 2016-07-01 C. W. J. Beenakker , L. P. Kouwenhoven

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently…

Quantum Gases · Physics 2013-11-06 Chunlei Qu , Zhen Zheng , Ming Gong , Yong Xu , Li Mao , Xubo Zou , Guangcan Guo , Chuanwei Zhang

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

Majorana modes emerge in non-trivial topological phases at the edges of some specific materials, like proximitized semiconducting nanowires under a external magnetic field. Ideally, they are non-local states that are charge neutral…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

Majorana quasiparticles localized in vortex cores of a chiral p-wave superconductor hybridize with one another to form bands in a vortex lattice. We begin by solving a fully microscopic theory describing all quasiparticle bands in a chiral…

Superconductivity · Physics 2015-10-28 James M. Murray , Oskar Vafek

Magnet-superconductor hybrid (MSH) systems have recently emerged as one of the most significant developments in condensed matter physics. This has generated, in the last decade, a steadily rising interest in the understanding of their…

Superconductivity · Physics 2024-10-29 Roberto Lo Conte , Jens Wiebe , Stephan Rachel , Dirk K. Morr , Roland Wiesendanger

Majorana fermions are particles identical to their own antiparticles. They have been theoretically predicted to exist in topological superconductors. We report electrical measurements on InSb nanowires contacted with one normal (Au) and one…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 V. Mourik , K. Zuo , S. M. Frolov , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

Majorana modes offer great potential for fault-tolerant quantum computation due to their topological protection. However, for superconductor-semiconductor nanowire hybrids, intrinsic disorder makes the unambiguous detection of Majorana…

In this paper we find that confining a second-order topological superconductor with a harmonic potential leads to a proliferation of Majorana corner modes. As a consequence, this results in the formation of Majorana corner flat bands which…

Superconductivity · Physics 2020-03-05 Majid Kheirkhah , Yuki Nagai , Chun Chen , Frank Marsiglio