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We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

We show that confined Majorana fermions can exist in nanowires with proximity induced s-wave superconducting pairing if the direction of an external magnetic field rotates along the wire. The system is equivalent to nanowires with…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 Morten Kjaergaard , Konrad Wölms , Karsten Flensberg

We show that one dimensional (1D) topological superconductivity can be placed in the context of phenomena associated with strongly correlated electron systems. Here we propose a system consisting of a one-dimensional chain of strongly…

Superconductivity · Physics 2024-07-12 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular…

Superconductivity · Physics 2018-02-21 Laura Ortiz , Santiago Varona , Oscar Viyuela , Miguel Angel Martin-Delgado

Signatures of Majorana zero modes (MZMs), which are the building blocks for fault-tolerant topological quantum computing, have been observed in semiconductor nanowires (NW) with strong spin-orbital-interaction (SOI), such as InSb and InAs…

Mesoscale and Nanoscale Physics · Physics 2020-05-15 Zedong Yang , Brett Heischmidt , Sasa Gazibegovic , Ghada Badawy , Diana Car , Paul A. Crowell , Erik P. A. M. Bakkers , Vlad S. Pribiag

Majorana fermions have been intensively studied in recent years for their importance to both fundamental science and potential applications in topological quantum computing1,2. Majorana fermions are predicted to exist in a vortex core of…

We investigate the transport properties of Majorana zero mode (MZM) and Majorana Kramers pair (MKP) in one-dimensional topological superconductors, respectively. An effective model is established for braiding of MZMs and MKPs. We employ the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Hongfa Pan , Zhengtian Li , Jinxiong Jia , Zhenhua Qiao

Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and were initially predicted by Ettore Majorana in particle physics but their observation still remains elusive. The concept of Majorana fermions has been…

Superconductivity · Physics 2024-05-07 Yukio Tanaka , Shun Tamura , Jorge Cayao

It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that…

Superconductivity · Physics 2015-06-16 Masatoshi Sato , Ai Yamakage , Takeshi Mizushima

We propose to realize a one-dimensional chiral topological superconducting state at the magnetic domain walls stripe of a magnetic topological insulator coupled with a conventional $s$-wave superconductor. The localized Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Jing Wang

Multiple zero-energy Majorana fermions (MFs) with spatially overlapping wave functions can survive only if their splitting is prevented by an underlying symmetry. Here we show that, in quasi-one-dimensional (Q1D) time reversal invariant…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 E. Dumitrescu , T. D. Stanescu , S. Tewari

Topological phases in one-dimensional superconducting systems are commonly characterized by symmetry-protected invariants. These invariants determine the number of Majorana zero-energy boundary modes but do not specify their corresponding…

Other Condensed Matter · Physics 2026-05-11 Vijay Pathak , Vaishnav Mallya , Sujit Sarkar

We consider theoretically the physics of bulk topological superconductivity accompanied by boundary non-Abelian Majorana zero modes in semiconductor-superconductor (SM-SC) hybrid systems consisting of finite wires in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Sankar Das Sarma , Jay D. Sau , Tudor D. Stanescu

A new method is introduced for probing Topological Superconductors. The integration of the superconding fermions generates a topological $\mathbf{Chern-Simons}$ sound action . Dislocations induce Majorana zero modes inside the sample,…

Superconductivity · Physics 2015-01-27 D. Schmeltzer

We employ general arguments and numerical simulations to show that unpaired Majorana zero modes can occur in cores of Abrikosov vortices at the interface between a three-dimensional topological insulator, such as Bi$_2$Se$_3$, and a twisted…

Superconductivity · Physics 2022-04-13 Alejandro Mercado , Sharmistha Sahoo , M. Franz

The topological properties observed in iron-based superconductors extend our understanding of vortex Majorana quasiparticle excitations in unexpected ways. Vortex Majorana physics has been extensively studied within the context of the…

We consider a 1D topological superconductor (TSC) constructed by coupling a pair of Kitaev's Majorana chains with opposite spin configurations. Such a 1D lattice model is known to be protected by a $T^2 = -1$ time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Alestin Mawrie

We show that Majorana edge modes appear in a strongly correlated phase of semiconducting nanowires with discrete rotational symmetry in the cross section. These modes exist in the absence of spin-orbit coupling, magnetic fields and…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , Michele Burrello , Karsten Flensberg

We report on several low temperature experiments supporting the presence of Majorana fermions in superconducting lead nanowires fabricated with a scanning tunneling microscope. These nanowires are the connecting bridges between the STM tip…

Superconductivity · Physics 2013-02-12 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss