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Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

介观与纳米尺度物理 · 物理学 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

We study the edge states for a quantum anomalous Hall system (QAHS) coupled with a spin-singlet s-wave superconductor through the proximity effect, and clarify the topological nature of them. When we consider a superconducting pair…

超导电性 · 物理学 2011-05-10 Akihiro Ii , Keiji Yada , Masatoshi Sato , Yukio Tanaka

We discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux $\Phi$ tuned at an appropriate value $\Phi=\Phi_*$. In the absence of fermion…

强关联电子 · 物理学 2017-05-01 Andrea Nava , Rosa Giuliano , Gabriele Campagnano , Domenico Giuliano

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

介观与纳米尺度物理 · 物理学 2017-11-22 David J. Clarke

We study the formation of Majorana states in superconductors using the Majorana polarization, which can locally evaluate the Majorana character of a given state. We introduce the definition of the Majorana polarization vector and the…

超导电性 · 物理学 2017-10-30 Cristina Bena

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

介观与纳米尺度物理 · 物理学 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

Recent experiments engineered special spin-degenerate Andreev bound states in atomic cages of adatoms on superconductors, the Machida-Shibata states, a promising building block for quantum matter. Here, we investigate the formation of…

超导电性 · 物理学 2026-05-13 Ioannis Ioannidis , Ching-Kai Chiu , Thore Posske

We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also…

量子物理 · 物理学 2018-11-16 Yue Yu , Kwok Yip Szeto

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

超导电性 · 物理学 2017-11-08 Yuxuan Wang , Liang Fu

Chiral Majorana-fermion modes are shown to emerge as edge excitations in a superconductor--topological-insulator hybrid structure that is subject to a magnetic field. The velocity of this mode is tunable by changing the magnetic-field…

介观与纳米尺度物理 · 物理学 2014-02-19 Rakesh P. Tiwari , U. Zülicke , C. Bruder

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

介观与纳米尺度物理 · 物理学 2017-05-09 Qi Zhang , Biao Wu

The Majorana phase boundaries in planar 2D hybrid (semiconductor-superconductor) nanowires are modified by orbital effects due to off plane magnetic components. We show that Majorana zero modes survive sizable vertical field tiltings,…

介观与纳米尺度物理 · 物理学 2015-07-20 Javier Osca , Llorenç Serra

A short superconducting segment can couple attached quantum dots via elastic co-tunneling (ECT) and crossed Andreev reflection (CAR). Such coupled quantum dots can host Majorana bound states provided that the ratio between CAR and ECT can…

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 zero modes (MZMs) are bound midgap topological excitations at the ends of a 1D topological superconductor, which must come in pairs. If the two MZMs in the pair are sufficiently well-separated by a distance much larger than their…

介观与纳米尺度物理 · 物理学 2026-04-22 Haining Pan , Sankar Das Sarma

Zero energy Majorana fermion states (Majoranas) can arise at the ends of a semiconducting wire in proximity with a superconductor. A first generation of experiments has detected a zero bias conductance peak in these systems that strongly…

强关联电子 · 物理学 2013-12-25 F. J. Burnell , Alexander Shnirman , Yuval Oreg

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

超导电性 · 物理学 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

介观与纳米尺度物理 · 物理学 2023-04-05 Logan Gates , Alexander A. Penin

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

Recent work on Majorana-bound states in semiconductor-superconductor hybrid structures has elucidated the key role of unintentional (and unknown) disorder (producing low-energy Andreev-bound states) in the system, which is detrimental to…

介观与纳米尺度物理 · 物理学 2026-03-31 Haining Pan , Jacob R. Taylor , Jay D. Sau , Sankar Das Sarma
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