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In a variety of rare-earth based compounds singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivar Martin , Alberto F. Morpurgo

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Omri Lesser , Yuval Oreg

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Superconducting wires without time-reversal and spin-rotation symmetries can be driven into a topological phase that supports Majorana bound states. Direct detection of these zero-energy states is complicated by the proliferation of…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , J. P. Dahlhaus , F. Hassler , M. Wimmer , C. W. J. Beenakker

We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic…

Disordered Systems and Neural Networks · Physics 2021-03-24 Tong Liu , Shujie Cheng , Hao Guo , Gao Xianlong

We propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Dong E. Liu , Harold U. Baranger

We demonstrate a novel means of creating Majorana zero modes using magnetic flux applied to a full superconducting shell surrounding a semiconducting nanowire core, unifying approaches based on proximitized nanowires and vortices in…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 S. Vaitiekėnas , M. -T. Deng , P. Krogstrup , C. M. Marcus

We present calculations of Majorana edge modes in cylindrical nanowires of a semiconductor material with proximity-induced superconductivity. We consider a Rashba field along the transverse direction and an applied magnetic field in…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jong Soo Lim , Rosa López , Llorenç Serra

Flat-band Majorana bound states of nodal $p$-wave superconductors give rise to striking electromagnetic anomalies, reflecting their high degree of degeneracy at the Fermi level. However, experimental investigations of these states have been…

Superconductivity · Physics 2025-02-17 Yutaro Nagae , Leo Katayama , Satoshi Ikegaya

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari

We study the p-wave superconducting wire with a periodically modulated chemical potential and show that the Majorana edge states are robust against the periodic modulation. We find that the critical amplitude of modulated potential, at…

Strongly Correlated Electrons · Physics 2012-12-04 Li-Jun Lang , Shu Chen

The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Piotr Majek , Ireneusz Weymann

Odd-frequency superconductivity is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. Majorana zero modes exhibit pure odd-frequency superconducting correlations due to their specific…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Annica M. Black-Schaffer , Jorge Cayao

We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor.…

Strongly Correlated Electrons · Physics 2016-09-21 Mariana Malard , G. I. Japaridze , Henrik Johannesson

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

Recent experiments reported the puzzling zero energy modes associated with ferromagnetic impurities in some iron-based superconductors with topological band structures. Here, we show that the sufficiently strong exchange coupling between a…

Superconductivity · Physics 2022-11-15 Rui Song , Ping Zhang , Xian-Tu He , Ning Hao

Majorana modes offer great potential for fault-tolerant quantum computation due to their topological protection. However, for superconductor-semiconductor nanowire hybrids, intrinsic disorder makes the unambiguous detection of Majorana…

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

We study the boundary Majorana modes for the single component p-wave weak topological superconductors or superfluids, which form zero energy flat bands protected by time-reversal symmetry in the orbital channel. However, due to the…

Superconductivity · Physics 2013-08-20 Yi Li , Da Wang , Congjun Wu