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Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

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

Topological phases in one-dimensional superconducting systems are commonly characterized by symmetry-protected invariants. These invariants determine the number of Majorana zero-energy boundary modes but do not specify their corresponding…

Other Condensed Matter · Physics 2026-05-11 Vijay Pathak , Vaishnav Mallya , Sujit Sarkar

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced…

Superconductivity · Physics 2021-12-08 Xiao-Ming Zhao , Cui-Xian Guo , Su-Peng Kou , Lin-Zhuang , Wu-Ming Liu

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

The Majorana fermion, which is its own anti-particle and obeys non-abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the…

Majorana zero modes are well studied in the gapped phases of topological systems. We investigate Majorana zero modes at the topological quantum criticality in one dimensional topological superconducting model with longer range interaction.…

Strongly Correlated Electrons · Physics 2021-07-15 S Rahul , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

The relation between band topology and Majorana zero energy modes (MZMs) in topological superconductors had been well studied in the past decades. However, the relation between the quantum metric and MZMs has yet to be understood. In this…

Superconductivity · Physics 2024-11-26 Xingyao Guo , Xinglei Ma , Xuzhe Ying , K. T. Law

The issue on the effect of interactions in topological states concerns not only interacting topological phases but also novel symmetry-breaking phases and phase transitions. Here we study the interaction effect on Majorana zero modes (MZMs)…

Strongly Correlated Electrons · Physics 2018-10-31 Y. Kamiya , A. Furusaki , J. C. Y. Teo , G. -W. Chern

Majorana zero modes (MZMs) are exotic excitations (in condensed matter systems) that have potential applications in topological quantum computation. Though MZMs have been predicted on many platforms, their existence of them is still under…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Zhan Cao , Shumeng Chen , Gu Zhang , Dong E. Liu

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

We study the emergence of exact Majorana zero modes (EMZMs) in a one-dimensional quantum transverse compass model with both the nearest-neighbor interactions and transverse fields varying over space. By transforming the spin system into a…

Mesoscale and Nanoscale Physics · Physics 2019-08-20 Ning Wu , Wen-Long You

We introduce a one-dimensional system of fermionic atoms in an optical lattice whose phase diagram includes topological states of different symmetry classes. These states can be identified by their zero-energy edge modes which are Majorana…

Quantum Gases · Physics 2015-06-03 Christina V. Kraus , Sebastian Diehl , Peter Zoller , Mikhail A. Baranov

Majorana zero modes (MZMs) obey non-Abelian statistics and are considered building blocks for constructing topological qubits. Iron-based superconductors with topological band structures have emerged as promising hosting materials, since…

A one-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological phase. MZMs provide a path to realising fault-tolerant quantum computation, and…

Quantum Physics · Physics 2017-11-07 Sania Jevtic , Ryan Barnett

We study the optical properties of a hybrid device composed by a quantum dot (QD) resonantly coupled to a photonic mode of an optical microcavity and a Majorana nanowire: a topological superconducting segment hosting Majorana bound states…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 L. S. Ricco , V. K. Kozin , A. C. Seridonio , I. A. Shelykh

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

The Majorana zero mode (MZM), which manifests as an exotic neutral excitation in superconductors, is the building block of topological quantum computing. It has recently been found in the vortices of several iron-based superconductors as a…

Superconductivity · Physics 2019-04-11 C. Chen , Q. Liu , T. Z. Zhang , D. Li , P. P. Shen , X. L. Dong , Z. -X. Zhao , T. Zhang , D. L. Feng

We consider a non-Hermitian generalization of the Kitaev model and study the existence of stable Majorana zero energy modes. We show that they exist in the limit of zero chemical potential even if balanced gain and loss are randomly…

Quantum Physics · Physics 2019-05-21 C. Yuce
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