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Related papers: Fusion Dynamics of Majorana Zero Modes

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The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out perturbation…

Strongly Correlated Electrons · Physics 2021-02-11 Yiming Wang , Zhidan Li , Qiang Han

A one-dimensional Ising model in a transverse field can be mapped onto a system of spinless fermions with p-wave superconductivity. In the weak-coupling BCS regime, it exhibits a zero energy Majorana mode at each end of the chain. Here, we…

Strongly Correlated Electrons · Physics 2012-01-17 Yuezhen Niu , Suk Bum Chung , Chen-Hsuan Hsu , Ipsita Mandal , S. Raghu , Sudip Chakravarty

Electron transport through the T-shaped quantum-dot (QD) structure is theoretically investigated, by considering a Majorana zero mode coupled to the terminal QD. It is found that in the double-QD case, the presence of the Majorana zero mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Wei-Jiang Gong , Shu-Feng Zhang , Zhi-Chao Li , Guangyu Yi , Yi-Song Zheng

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

Strongly Correlated Electrons · Physics 2024-11-19 Haoting Xu , Hae-Young Kee

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

Recent advances in quantum dot platforms have opened new pathways for realizing Majorana zero modes (MZMs) and simulating topological quantum computation. Here we propose an experimentally feasible setup for implementing topological…

Strongly Correlated Electrons · Physics 2025-09-22 Bradraj Pandey , Satoshi Okamoto , Pontus Laurell , Stephan Rachel , Elbio Dagotto

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 hybrid nanowire consisting of semiconductor with proximity to superconductor is expected to serve as an experimental platform to display Majorana zero modes. By rederiving its effective Kitaev model with spins, we discover a novel…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Sheng-Wen Li , C. P. Sun

Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

Mesoscale and Nanoscale Physics · Physics 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states. We analyze the dynamics and…

Superconductivity · Physics 2024-10-04 Bradraj Pandey , Narayan Mohanta , Elbio Dagotto

We propose and simulate a near-adiabatically coupling probing scheme for nontrivial fusion of a pair of Majorara zero modes (MZMs). The scheme can avoid the complexity of oscillating charge occupation in the probing quantum dot, making thus…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Jing Bai , Luting Xu , Wei Feng , Xin-Qi Li

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

The simulation of systems of interacting fermions is one of the most anticipated applications of quantum computers. The most interesting simulations will require a fault-tolerant quantum computer, and building such a device remains a…

Quantum Physics · Physics 2023-03-29 Kevin J. Sung , Marko J. Rančić , Olivia T. Lanes , Nicholas T. Bronn

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 propose a simple model consisting of a magnetic domain wall proximity-coupled to an $s$-wave superconductor for realization of Majorana zero-energy modes. A spin-dependent gauge transformation translates the rotating magnetic profile…

Strongly Correlated Electrons · Physics 2016-03-24 Babak Zare Rameshti , Yaser Hajati , Imam Makhfudz

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 Wenqin Chen , Jiachen Wang , Yijia Wu , Jie Liu , X. C. Xie

We theoretically investigate Majorana zero modes emerging in an anisotropic XY spin chain with second neighbor interactions. The spin chain is mathematically equivalent to the Kitaev chain composing of spinless fermions if only…

Strongly Correlated Electrons · Physics 2021-08-18 Kazuhiro Wada , Takanori Sugimoto , Takami Tohyama