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Engineering effective p-wave superconductors hosting Majorana quasiparticles (MQPs) is nowadays of particular interest, also in view of the possible utilization of MQPs in fault-tolerant topological quantum computation. In quasi…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Magdalena Marganska , Lars Milz , Wataru Izumida , Christoph Strunk , Milena Grifoni

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

The novel idea that spin-orbit coupling (SOC) and $s$-wave pairing can lead to induced $p$-wave pairing at strong magnetic limit has stimulated widespread interests in the whole community for the searching of Majorana Fermions (MFs), a…

Superconductivity · Physics 2018-10-24 Jia Liu , Chun Fai Chan , Ming Gong

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

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

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

We show that long-ranged superconducting order is not necessary to guarantee the existence of Majorana fermion zero modes at the ends of a quantum wire. We formulate a concrete model which applies, for instance, to a semiconducting quantum…

Strongly Correlated Electrons · Physics 2013-05-29 Lukasz Fidkowski , Roman M. Lutchyn , Chetan Nayak , Matthew P. A. Fisher

Majorana fermions can be realized as quasiparticles in topological superconductors, with potential applications in topological quantum computing. Recently, lattices of magnetic adatoms deposited on the surface of s-wave superconductors -…

Superconductivity · Physics 2017-12-15 Stephan Rachel , Eric Mascot , Sagen Cocklin , Matthias Vojta , Dirk K. Morr

We study the electronic structure of full-shell superconductor-semiconductor nanowires, which have recently been proposed for creating Majorana zero modes, using an eight-band $\vec{k} \cdot \vec{p}$ model within a fully self-consistent…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Benjamin D. Woods , Sankar Das Sarma , Tudor D. Stanescu

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

Superconductivity · Physics 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

The chiral Majorana fermion is an exotic particle that is its own antiparticle. It can arise in a one-dimensional edge of topological materials, and especially that in a topological superconductor can be exploited in non-Abelian quantum…

Superconductivity · Physics 2023-12-18 Motoaki Hirayama , Takuya Nomoto , Ryotaro Arita

A clear demonstration of topological superconductivity (TS) and Majorana zero modes remains one of the major pending goal in the field of topological materials. One common strategy to generate TS is through the coupling of an s-wave…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 P. San-Jose , J. L. Lado , R. Aguado , F. Guinea , J. Fernández-Rossier

Electronic systems harboring one dimensional helical modes, where the spin and momentum of the electron are locked, have lately become an important field of its own. When coupled to a conventional superconductor, such systems are expected…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 Yuval Ronen , Yonatan Cohen , Daniel Banitt , Moty Heiblum , Vladimir Umansky

Topologically non-trivial superconductivity has been predicted to occur in superconductors with a sizable spin-orbit coupling in the presence of an external Zeeman splitting. Two such systems have been proposed: (a) s-wave superconductor…

Superconductivity · Physics 2011-06-07 Sumanta Tewari , Tudor D. Stanescu , Jay D. Sau , S. Das Sarma

We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing $Z_{2}$ topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Sagar Vijay , Liang Fu

In this paper, we present an exactly solvable model for two dimensional topological superconductor with helical Majorana edge modes protected by time reversal symmetry. Our construction is based on the idea of decorated domain walls and…

Strongly Correlated Electrons · Physics 2018-09-05 Zitao Wang , Shang-Qiang Ning , Xie Chen

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…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

Time reversal symmetric topological superconductors in three spatial dimensions carry gapless surface Majorana fermions. They are robust against any time reversal symmetric single-body perturbation weaker than the bulk energy gap. We mimic…

Strongly Correlated Electrons · Physics 2016-10-26 Sharmistha Sahoo , Zhao Zhang , Jeffrey C. Y. Teo

Topological superconductivity is a state of matter that can host Majorana modes, the building blocks of a topological quantum computer. Many experimental platforms predicted to show such a topological state rely on proximity-induced…

The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the…

Superconductivity · Physics 2020-11-25 Shingo Kobayashi , Akira Furusaki
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