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We propose a topological field theory for a spin-less two-dimensional chiral superconductor that contains fundamental Majorana fields. Due to a fermionic gauge symmetry, the Majorana modes survive as dynamical degrees of freedom only at…

Superconductivity · Physics 2012-11-12 T. H. Hansson , A. Karlhede , Masatoshi Sato

Realizations of Majorana fermions in solid state materials have attracted great interests recently in connection to topological order and quantum information processing. We propose a novel way to create Majorana fermions in superconductors.…

Strongly Correlated Electrons · Physics 2013-03-04 Yuan-Ming Lu , Ziqiang Wang

We develop a Gaussian variational approach in replica space to investigate the phase diagram of a one-dimensional interacting disordered topological superconducting wire in the strong coupling regime. This method allows for a…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 Francois Crépin , Gergely Zaránd , Pascal Simon

We study a one-dimensional wire with strong Rashba and Dresselhaus spin-orbit coupling (SOC), which supports Majorana fermions when subject to a Zeeman magnetic field and in proximity of a superconductor. Using both analytical and numerical…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Doru Sticlet , Cristina Bena , Pascal Simon

We propose a setup to realize time-reversal invariant topological superconductors in quantum wires, proximity coupled to conventional superconductors. We consider a model of quantum wire with strong spin-orbit coupling and proximity…

Strongly Correlated Electrons · Physics 2013-09-17 Anna Keselman , Liang Fu , Ady Stern , Erez Berg

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

Superconductivity · Physics 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

We study coherent transport through a semiconductor nanowire in the presence of spin-orbit coupling and Zeeman splitting due to an applied magnetic field. By employing analytical and numerical techniques we develop a theory for the…

Mesoscale and Nanoscale Physics · Physics 2012-10-26 Meng Cheng , Roman M. Lutchyn

Spin-orbit coupled semiconductor nanowires with Zeeman splitting in proximity contact with bulk $s$-wave superconductivity have recently been proposed as a promising platform for realizing Majorana fermions. However, in this setup the…

Superconductivity · Physics 2013-02-21 Ming Gong , Li Mao , Sumanta Tewari , Chuanwei Zhang

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

Higher-order topological superconductors and superfluids host lower-dimensional Majorana corner and hinge states since novel topology exhibitions on boundaries. While such topological nontrivial phases have been explored extensively, more…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Ya-Jie Wu , Wei Tu , Ning Li

We focus on inducing topological state from regular, or irregular scattering in (i) p-wave superconducting wires and (ii) Rashba wires proximity coupled to an s-wave superconductor. We find that contrary to common expectations the…

Mesoscale and Nanoscale Physics · Physics 2014-07-21 I. Adagideli , M. Wimmer , A. Teker

Multi-channel spin-orbit quantum wires, when subjected to a magnetic field and proximity coupled to s-wave superconductor, may support Majorana states. We study what happens to these systems in the presence of disorder. Inspired by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Patrick Neven , Dmitry Bagrets , Alexander Altland

We study disorder induced topological phase transitions in magnetically doped (Bi, Sb)$_2$Te$_3$ thin films, by using large scale transport simulations of the conductance through a disordered region coupled to reservoirs in the quantum spin…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Takuya Okugawa , Peizhe Tang , Angel Rubio , Dante M. Kennes

We study numerically the formation of Majorana bound states in a finite-size quasi-one-dimensional square-lattice strip with Rashba spin-orbit coupling, in the presence of a proximity-induced superconducting pairing and a magnetic field…

Superconductivity · Physics 2018-08-23 Selma Franca , Vardan Kaladzhyan , Cristina Bena

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…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 David J. Clarke

Using Bogoliubov-de Gennes (BdG) equations we numerically calculate the disorder averaged density of states of disordered semiconductor nanowires driven into a putative topological p-wave superconducting phase by spin-orbit coupling, Zeeman…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Jay D. Sau , S. Das Sarma

Topologically protected Majorana zero modes (MZMs) have attracted intense interest due to their potential application in fault-tolerant quantum computation (TQC). Graphene nanoribbons, with tunable edge terminations and compatibility with…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Shubhanshu Karoliya , Sumanta Tewari , Gargee Sharma

Using the density-matrix renormalization group, we determine the different topological phases and low-energy excitations of a time-reversal invariant topological superconducting (TRITOPS) wire with extended s-wave superconductivity, Rashba…

Superconductivity · Physics 2023-11-06 Leandro M. Chinellato , Claudio J. Gazza , Alejandro M. Lobos , Armando A. Aligia

Predictions of topological p-wave superconductivity and Majorana zero modes (MZMs) in hybrid superconductor-semiconductor nanowires have been difficult to realize experimentally. Consequently, researchers are actively exploring alternative…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Francisco Lobo , Elsa Prada , Pablo San-Jose

It is interesting to ask whether electron interaction can turn a topologically trivial superconductor into a nontrivial one without the presence of spin-obital coupling. In this paper we solve a correlated $s$-wave superconducting model…

Superconductivity · Physics 2021-01-27 Huai-Shuang Zhu , Zhidan Li , Qiang Han , Z. D. Wang
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