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We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show…

Superconductivity · Physics 2015-09-22 Y. -H. Chan , Ching-Kai Chiu , Kuei Sun

We consider Majorana fermions (MFs) in quasi-one-dimensional nanowire systems containing normal and superconducting sections where the topological phase based on Rashba spin orbit interaction can be tuned by magnetic fields. We derive…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Jelena Klinovaja , Daniel Loss

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…

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

Statistical Mechanics · Physics 2016-06-17 Takumi Ohta , Keisuke Totsuka

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…

Superconductivity · Physics 2012-07-19 Jay D. Sau , S. Das Sarma

We investigate the Majorana fermions in a $T$-shaped semiconductor nanostructure with the Rashba spin-orbit coupling and a magnetic field in the proximity of an s-wave superconductor. It is found that the properties of the low-energy modes…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Y. Zhou , M. W. Wu

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical…

Superconductivity · Physics 2025-04-08 Frederick Del Pozo , Loïc Herviou , Olesia Dmytruk , Karyn Le Hur

Recent experimental breakthrough in magnetic Weyl semimetals have inspired exploration on the novel effects of various magnetic structures in these materials. Here we focus on a domain wall structure which connects two uniform domains with…

Superconductivity · Physics 2021-06-07 Zhao Huang , Christopher Lane , Dmitry Yarotski , A. J. Taylor , Jian-Xin Zhu

We study topological superconductor in one-dimensional (1D) mosaic lattice whose on-site potentials are modulated for equally spaced sites. When the system is topologically nontrivial, Majorana zero modes appear at the two ends of the 1D…

Disordered Systems and Neural Networks · Physics 2020-12-15 Qi-Bo Zeng , Rong Lü , Li You

Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire.…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Jay D. Sau , D. J. Clarke , S. Tewari

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

Higher-order topological superfluids have gapped bulk and symmetry-protected Majorana zero modes with various localizations. Motivated by recent advances, we present a proposal for synthesizing multi-order topological superfluids that…

Quantum Gases · Physics 2021-07-09 Yu-Biao Wu , Guang-Can Guo , Zhen Zheng , Xu-Bo Zou

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

In proximity to an s-wave superconductor, a one- or two-dimensional, electron- or hole-doped semiconductor with a sizable spin-orbit coupling and a Zeeman splitting can support a topological superconducting (TS) state. The semiconductor TS…

Superconductivity · Physics 2012-02-28 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

Superconductivity · Physics 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

We investigate theoretically the low energy physics of semiconductor Majorana wires in the vicinity of a magnetic field-driven topological quantum phase transition (TQPT). The local density of states (LDOS) at the end of the wire, which is…

Mesoscale and Nanoscale Physics · Physics 2013-01-03 Tudor D. Stanescu , Sumanta Tewari , Jay D. Sau , S. Das Sarma

Topological superconductors are prime candidates for the implementation of topological-quantum-computation ideas because they can support non-Abelian excitations like Majorana fermions. We go beyond the low-energy effective-model…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

We consider a wire network of ferromagnetic impurities on the surface of an $s$-wave superconductor with strong Rashba spin-orbit interaction. Within the topological phase, zero-energy Majorana fermions appear at wire end-points as well as…

Superconductivity · Physics 2016-09-14 Kristofer Björnson , Annica M. Black-Schaffer