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Related papers: Majorana Zero Modes and Bulk-Boundary Corresponden…

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In this article, we discuss strong coupling limits of topological quantum critical points (TQCPs) where quantum phase transitions between two topological distinct superconducting states take place. We illustrate that while superconducting…

Strongly Correlated Electrons · Physics 2022-01-04 Fei Zhou

We investigate the effect of periodic and disordered distributions of pairing centers in a one-dimensional itinerant system to obtain the microscopic conditions required to achieve an end Majorana mode and the topological phase diagram.…

Strongly Correlated Electrons · Physics 2017-05-02 Wojciech Brzezicki , Andrzej M. Oleś , Mario Cuoco

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

Majorana zero modes (MZMs) realize a representation of non-abelian braid groups that enable topological quantum computation, wherein the storage and manipulation of information occur in decoherence-free degrees of freedom. This paper is…

Strongly Correlated Electrons · Physics 2021-11-17 Sihao Huang

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

Strongly Correlated Electrons · Physics 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

We study the p-wave superconducting wire with a periodically modulated chemical potential and show that the Majorana edge states are robust against the periodic modulation. We find that the critical amplitude of modulated potential, at…

Strongly Correlated Electrons · Physics 2012-12-04 Li-Jun Lang , Shu Chen

We study a disordered superconducting nanowire, with broken time-reversal and spin-rotational symmetry, which can be driven into a topological phase with end Majorana bound states by an externally applied magnetic field. As a function of…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Benjamin M. Fregoso , Alejandro M. Lobos , S. Das Sarma

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 the properties of a quantum dot coupled to a one-dimensional topological superconductor and a normal lead and discuss the interplay between Kondo and Majorana-induced couplings in quantum dot. The latter appears due to the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Meng Cheng , Michael Becker , Bela Bauer , Roman M. Lutchyn

The 1D Kitaev model in the topological phase, with open boundary conditions, hosts strong Majorana zero modes. These are fermion parity-odd operators that almost commute with the Hamiltonian and manifest in long coherence times for edge…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in…

Mesoscale and Nanoscale Physics · Physics 2022-03-18 Lucia Vigliotti , Fabio Cavaliere , Matteo Carrega , Niccolò Traverso Ziani

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

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Jasmin Bedow , Dirk K. Morr

When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Zihao Qi , Ilyoun Na , Gil Refael , Yang Peng

Competition among repetitive measurements of noncommuting observables and unitary dynamics can give rise to a wide variety of entanglement phases. Here, we propose a general framework based on Lyapunov analysis to characterize topological…

Quantum Physics · Physics 2025-06-24 Hisanori Oshima , Ken Mochizuki , Ryusuke Hamazaki , Yohei Fuji

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

Topological crystalline insulators are known to support multiple Majorana zero modes (MZMs) at a single vortex, their hybridization is forbidden by a magnetic mirror symmetry $M_T$. Due to the limited energy resolution of scanning tunneling…

Superconductivity · Physics 2024-09-23 Chun Yu Wan , Yujun Zhao , Yaoyi Li , Jinfeng Jia , Junwei Liu

Fusing Majorana zero modes leads to multiple outcomes, a property being unique to non-Abelian anyons. Successful demonstration of this nontrivial fusion rule would be a hallmark for the development of topological quantum computation.Here we…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Yu Zhang , Xiaoyu Zhu , Chunhui Li , Juntao Song , Jie Liu , X. C. Xie

A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes and holds a promise for topological quantum computing. Yet, most experiments scrutinizing these…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Pei-Xin Shen , Vivien Perrin , Mircea Trif , Pascal Simon

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 P. Zhang , Franco Nori
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