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Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions, which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

超导电性 · 物理学 2012-07-19 Jay D. Sau , S. Das Sarma

We show that the pair of Majorana modes at each end of a 1D spin triplet superconductor with total Cooper pair spin S_x=0 (i.e., Delta_{up,up} = -Delta_{down,down} = p*Delta_0; two uncoupled time reversed copies of the Kitaev p-wave chain)…

介观与纳米尺度物理 · 物理学 2014-02-07 E. Dumitrescu , Sumanta Tewari

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

强关联电子 · 物理学 2026-01-29 A. R. Moura , L. V. Santos

We suggest a way to overcome the obstacles that disorder and high density of states pose to the creation of unpaired Majorana fermions in one-dimensional systems. This is achieved by splitting the system into a chain of quantum dots, which…

介观与纳米尺度物理 · 物理学 2015-10-12 Ion C. Fulga , Arbel Haim , Anton R. Akhmerov , Yuval Oreg

We propose to implement a Kitaev chain based on an array of alternating normal and superconductor hybrid quantum dots embedded in semiconductors. In particular, the orbitals in the dot and the Andreev bound states in the hybrid are now on…

介观与纳米尺度物理 · 物理学 2024-08-12 Sebastian Miles , David van Driel , Michael Wimmer , Chun-Xiao Liu

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

强关联电子 · 物理学 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur

We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

介观与纳米尺度物理 · 物理学 2018-05-30 Eslam Khalaf

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

超导电性 · 物理学 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Topological crystalline superconductors are known to have possible higher-order topology, which results in Majorana modes on $d-2$ or lower-dimensional boundaries. Given the rich possibilities of boundary signatures, it is desirable to have…

超导电性 · 物理学 2022-04-08 Yanzhu Chen , Sheng-Jie Huang , Yi-Ting Hsu , Tzu-Chieh Wei

We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region ($\mu = 0$, $t = \Delta$) to free fermions. Extending the…

介观与纳米尺度物理 · 物理学 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

超导电性 · 物理学 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao

We design a driven superconducting box with four spins S=1/2 (qubits) such that coupled devices can give insight on the occurrence of quantum spin liquids and many-body Majorana states. Within one box or island, we introduce a generalized…

强关联电子 · 物理学 2018-08-01 Fan Yang , Loïc Henriet , Ariane Soret , Karyn Le Hur

Topological integrated circuits are integrated-circuit realizations of topological systems. Here we show an experimental demonstration by taking the case of the Kitaev topological superconductor model. An integrated-circuit implementation…

介观与纳米尺度物理 · 物理学 2023-10-04 Tetsuya Iizuka , Haochen Yuan , Yoshio Mita , Akio Higo , Shun Yasunaga , Motohiko Ezawa

We propose a realization of the one-dimensional Kitaev topological superconductor in classical mechanical metamaterials. By designing appropriate braiding protocols, we demonstrate that the system's mid-gap vibrational modes, termed…

介观与纳米尺度物理 · 物理学 2025-05-15 Liyuan Chen , Matthew Fuertes , Bolei Deng

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

强关联电子 · 物理学 2024-07-19 Ivar Martin , Kartiek Agarwal

The modern understanding of topological insulators is based on Wannier obstructions in position space. Motivated by this insight, we study topological superconductors from a position-space perspective. For a one-dimensional superconductor,…

超导电性 · 物理学 2020-07-02 Frank Schindler , Barry Bradlyn , Mark H. Fischer , Titus Neupert

Few-site implementations of the Kitaev chain offer a minimal platform to study the emergence and stability of Majorana bound states. Here, we realize two- and three-site chains in semiconducting quantum dots coupled via superconductors, and…

The recent realization of a two-site Kitaev chain featuring "poor man's Majorana" states demonstrates a path forward in the field of topological superconductivity. Harnessing the potential of these states for quantum information processing,…

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…

介观与纳米尺度物理 · 物理学 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

We propose a planar tunneling setup to probe vacancy-bound Majorana modes in the chiral Kitaev spin liquid. In this geometry, the inelastic tunneling conductance can be expressed directly in terms of real-space spin correlations,…

强关联电子 · 物理学 2026-02-17 Weiyao Li , Vitor Dantas , Wen-Han Kao , Natalia B. Perkins