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Semiconducting nanowires in proximity to superconductors are among promising candidates to search for Majorana fermions and topologically protected degeneracies which may ultimately be used as building blocks for topological quantum…

Superconductivity · Physics 2011-10-10 Jay D. Sau , B. I. Halperin , K. Flensberg , S. Das Sarma

Superconductors with an odd number of bands crossing the Fermi energy have topologically protected Andreev states at interfaces, including Majorana states in one dimensional geometries. Superconductivity, a low number of 1D channels, large…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

Topological superconductors, such as noncentrosymmetric superconductors with strong spin-orbit coupling, exhibit protected zero-energy surface states, which possess an intricate helical spin structure. We show that this nontrival spin…

Superconductivity · Physics 2013-10-10 Johannes S. Hofmann , Raquel Queiroz , Andreas P. Schnyder

The surface of a three-dimensional topological insulator (TI) hosts two-dimensional massless Dirac fermions (DFs), the gapless and spin-helical nature of which yields many exotic phenomena, such as the immunity of topological surface states…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Mu Chen , Yeping Jiang , Junping Peng , Huimin Zhang , Cui-Zu Chang , Xiao Feng , Zhenguo Fu , Fawei Zheng , Ping Zhang , Lili Wang , Ke He , Xu-Cun Ma , Qi-Kun Xue

Quantum spin Hall insulators have one-dimensional (1D) spin-momentum locked topological edge states (ES) inside the bulk band gap, which can serve as dissipationless channels for the practical applications in low consumption electronics and…

Materials Science · Physics 2021-09-01 Jincheng Zhuang , Jin Li , Yundan Liu , Dan Mu , Ming Yang , Yani Liu , Wei Zhou , Weichang Hao , Jianxin Zhong , Yi Du

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

We provide a conceptual framework for developing a scalable topological quantum computer. It relies on forming Majorana fermions using circular electronic gates in two-dimensional p-wave superconductors. The gates allow the precise control…

Mesoscale and Nanoscale Physics · Physics 2020-11-19 Ji Ung Lee

Majorana fermion (MF) excitations in solid state system have non-Abelian statistics which is essential for topological quantum computation. Previous proposals to realize MF, however, generally requires fine-tuning of parameters. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Hoi-Yin Hui , P. M. R. Brydon , Jay D. Sau , S. Tewari , S. Das Sarma

Topological insulators are a newly discovered phase of matter characterized by a gapped bulk surrounded by novel conducting boundary states. Since their theoretical discovery, these materials have encouraged intense efforts to study their…

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

Quantum Gases · Physics 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $\pi$ flux traps a pair of 1D helical modes, whereas a…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Yechen Xun , Rui-Xing Zhang

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

Surfaces of topological insulators host a new class of states with Dirac dispersion and helical spin texture. Potential quantum computing and spintronic applications using these states require manipulation of their electronic properties at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Haim Beidenkopf , Pedram Roushan , Jungpil Seo , Lindsay Gorman , Ilya Drozdov , Yew San Hor , R. J. Cava , Ali Yazdani

We show that one dimensional (1D) topological superconductivity can be placed in the context of phenomena associated with strongly correlated electron systems. Here we propose a system consisting of a one-dimensional chain of strongly…

Superconductivity · Physics 2024-07-12 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

Strongly Correlated Electrons · Physics 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

A key feature of topological insulators is the robustness of the electron energy spectrum. At a surface of a topological insulator, Dirac point is protected by the characteristic symmetry of the system. The breaking of the symmetry opens a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 S. Stagraczynski , L. Chotorlishvili , V. K. Dugaev , C. -L. Jia , A. Ernst , A. Komnik , J. Berakdar

A topological superconductor (TSC) is characterized by the topologically-protected gapless surface state that is essentially an Andreev bound state consisting of Majorana fermions. While a TSC has not yet been discovered, the doped…

Superconductivity · Physics 2011-11-16 Satoshi Sasaki , M. Kriener , Kouji Segawa , Keiji Yada , Yukio Tanaka , Masatoshi Sato , Yoichi Ando

Topological insulators (TIs) host unusual surface states with Dirac dispersion and helical spin texture and hold high potentials for novel applications in spintronics and quantum computing. Control of the chemical potential in these…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Yasen Hou , Rui Xiao , Senlei Li , Lang Wang , Dong Yu