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Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

A Dirac-type matrix equation governs surface excitations in a topological insulator in contact with an s-wave superconductor. The order parameter can be homogenous or vortex valued. In the homogenous case a winding number can be defined…

Strongly Correlated Electrons · Physics 2011-09-13 C. Chamon , R. Jackiw , Y. Nishida , S. -Y. Pi , L. Santos

Majorana zero modes are anyons obeying non-Abelian exchange statistics distinct from fermions or bosons. While significant progresses have been achieved in the past two decades in searching for these exotic excitations in solid-state…

We investigate transport though normal-superconductor nanowire junctions in the presence of spin-orbit coupling and magnetic field. As the Zeeman field crosses the critical bulk value B_c of the topological transition, a Majorana bound…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Elsa Prada , Pablo San-Jose , Ramon Aguado

Detecting Majorana zero modes (MZMs) in topological superconductors remains challenging, as localized non-topological states can mimic MZM signatures. Here, we propose electron interferometry by non-local transport measurements as a…

Mesoscale and Nanoscale Physics · Physics 2024-10-11 Nadav Drechsler , Omri Lesser , Yuval Oreg

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

Zero energy Majorana fermion states (Majoranas) can arise at the ends of a semiconducting wire in proximity with a superconductor. A first generation of experiments has detected a zero bias conductance peak in these systems that strongly…

Strongly Correlated Electrons · Physics 2013-12-25 F. J. Burnell , Alexander Shnirman , Yuval Oreg

Majorana zero modes (MZMs), promising for topological quantum computation, are naturally hosted in vortices of two-dimensional topological superconductors (TSCs). However, precise control and braiding of these vortex-bound MZMs remains a…

We study the emergence of exact Majorana zero modes (EMZMs) in a one-dimensional quantum transverse compass model with both the nearest-neighbor interactions and transverse fields varying over space. By transforming the spin system into a…

Mesoscale and Nanoscale Physics · Physics 2019-08-20 Ning Wu , Wen-Long You

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. However, the complexity of the braiding manipulation hinders its experimental realization. Here we propose an experimental setup composing of…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Jie Liu , Wenqin Chen , Ming Gong , Yijia Wu , X. C. Xie

Motivated by recent experimental progress in realizing Majorana zero modes (MZMs) using quantum dot systems, we investigate the diabatic errors associated with the movement of those MZMs. The movement is achieved by tuning time-dependent…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Bradraj Pandey , Gaurav Kumar Gupta , Gonzalo Alvarez , Satoshi Okamoto , Elbio Dagotto

Fusing Majorana zero modes leads to multiple outcomes, a property being unique to non-Abelian anyons. Successful demonstration of this nontrivial fusion rule would be a hallmark for the development of topological quantum computation.Here we…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Yu Zhang , Xiaoyu Zhu , Chunhui Li , Juntao Song , Jie Liu , X. C. Xie

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

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

Electron transport through [normal metal]-[quantum dot]-[topological superconductor] junction is studied and reveals interlacing physics of Kondo correlations with two Majorana fermions bound state residing on the opposite edges of the…

Strongly Correlated Electrons · Physics 2013-05-29 Anatoly Golub , Igor Kuzmenko , Yshai Avishai

We study transport properties of a quantum dot coupled to a Majorana zero mode and two normal leads. We investigate the full counting statistics of charge tunneling events which allows one to extract complete information about current…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Dong E. Liu , Alex Levchenko , Roman M. Lutchyn

We use Majorana operators to study entanglement dynamics under random free fermion unitary evolution and projective measurements in one dimension. For certain choices of unitary evolution, namely those which swap neighboring Majorana…

Strongly Correlated Electrons · Physics 2023-03-01 Joseph Merritt , Lukasz Fidkowski

We present a novel hierarchical quantum master equation (HQME) approach which provides a numerically exact description of nonequilibrium charge transport in nanosystems with electronic-vibrational coupling. In contrast to previous work…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 C. Schinabeck , R. Härtle , M. Thoss

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…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami
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