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We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

强关联电子 · 物理学 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

In topology, a torus remains invariant under certain non-trivial transformations known as modular transformations. In the context of topologically ordered quantum states of matter, these transformations encode the braiding statistics and…

量子物理 · 物理学 2020-03-17 Guanyu Zhu , Mohammad Hafezi , Maissam Barkeshli

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

介观与纳米尺度物理 · 物理学 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

We have combined high resolution magneto-optical imaging with an ultra-fast heating/cooling technique to measure the movement of individual vortices in a superconducting film. The motion took place while the film was heated close to $T_c$,…

超导电性 · 物理学 2011-09-13 Daniel Golubchik , Emil Polturak , Gad Koren

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

超导电性 · 物理学 2014-07-31 Masaki Tezuka , Norio Kawakami

We study the robustness of Majorana zero energy modes and minigaps of quasiparticle excitations in a vortex by numerically solving Bogoliubov-deGennes equations in a heterostructure composed of an \textit{s} -wave superconductor, a…

超导电性 · 物理学 2010-11-11 Li Mao , Chuanwei Zhang

We study the energy spectrum of a vortex core in a two-dimensional semiconductor with Rashba spin-orbit interaction and proximity-coupled to a conventional superconductor and a ferromagnetic insulator. We perform self-consistent…

超导电性 · 物理学 2013-07-08 Kristofer Björnson , Annica M. Black-Schaffer

The topological phase acquired by vector vortex optical beams is investigated. Under local unitary operations on their polarization and transverse degrees of freedom, the vector vortices can only acquire discrete geometric phase values, 0…

量子物理 · 物理学 2015-06-17 C. E. R. Souza , J. A. O. Huguenin , A. Z. Khoury

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

介观与纳米尺度物理 · 物理学 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

An array of superconducting proximity islands has been shown to be highly tunable by electric and magnetic fields. Indeed, a small change in the electric and magnetic field can tune the system from a vortex Mott insulator to a vortex metal.…

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…

超导电性 · 物理学 2015-10-28 Tianyu Liu , M. Franz

Electronic states within superconducting vortices hold crucial information about paring mechanisms and topology. While scanning tunneling microscopy/spectroscopy(STM/S) can image the vortices, it is difficult to isolate the intrinsic…

Topological insulator/superconductor two-dimensional heterostructures are promising candidates for realizing topological superconductivity and Majorana modes. In these systems, a vortex pinned by a pre-fabricated antidot in the…

Majorana zero modes (MZMs) that obey the non-Abelian statistics have been intensively investigated for potential applications in topological quantum computing. The prevailing signals in tunneling experiments "fingerprinting" the existence…

超导电性 · 物理学 2020-03-27 Chaofei Liu , Cheng Chen , Xiaoqiang Liu , Ziqiao Wang , Yi Liu , Shusen Ye , Ziqiang Wang , Jiangping Hu , Jian Wang

Noncentrosymmetric superconductors (NCSs), characterized by antisymmetric spin-orbit coupling and a mixture of spin-singlet and spin-triplet pairing components, are promising candidate materials for topological superconductivity. An…

超导电性 · 物理学 2014-11-11 Po-Yao Chang , Shunji Matsuura , Andreas P. Schnyder , Shinsei Ryu

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

超导电性 · 物理学 2012-03-01 Babak Seradjeh , Eytan Grosfeld

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

介观与纳米尺度物理 · 物理学 2018-07-26 Alex Thomson , Falko Pientka

We theoretically study quantum transport through a quantum dot coupled to Majorana bound states confined at the ends of a topological superconducting nanowire. The topological superconductor forms a loop and is threaded by a tunable…

介观与纳米尺度物理 · 物理学 2022-04-25 Levente Máthé , Doru Sticlet , Liviu P. Zârbo

We explore the experimental implications of a recent theory of the quantum dynamics of vortices in superfluids proximate to Mott insulators (cond-mat/0408329 and cond-mat/0409470). The theory predicts modulations in the local density of…

强关联电子 · 物理学 2007-05-23 Lorenz Bartosch , Leon Balents , Subir Sachdev

We examine theoretically the visualization of Majorana fermions in a two-dimensional trapped ultracold atomic Fermi gas with spin-orbit coupling. By increasing an external Zeeman field, the trapped gas transits from non-topological to…

量子气体 · 物理学 2012-02-24 Xia-Ji Liu , Lei Jiang , Han Pu , Hui Hu