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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

Exploiting the peculiar properties of proximity-induced superconductivity on the surface of a topological insulator, we propose a device which allows the creation of a Majorana fermion inside the core of a pinned Abrikosov vortex. The…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 A. L. Rakhmanov , A. V. Rozhkov , Franco Nori

Tunneling spectroscopy cannot be used as an unambiguous detection tool for Majorana zero modes (MZMs) in conventional partial-shell nanowires. The presence of smooth confinement at the end of the hybrid wire (among other sources of…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Carlos Payá , César Robles , Pablo San-Jose , Elsa Prada

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

Much of the current experimental efforts for detecting Majorana zero modes have been centered on probing the boundary of quantum wires with strong spin-orbit coupling. The same type of Majorana zero mode can also be realized at crystalline…

Superconductivity · Physics 2016-05-09 Suk Bum Chung , Cheung Chan , Hong Yao

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

Majorana zero modes (MZM-s) occurring at the edges of a 1D, p-wave, spinless superconductor, in absence of fluctuations of the phase of the superconducting order parameter, are quintessential examples of topologically-protected zero-energy…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Ananda Roy , Johannes Hauschild , Frank Pollmann

I analyze the emergence of Majorana zero modes (MZM) in a one dimensional ultracold fermionic system confined by an optical lattice inside a high-Q cavity. This forms a quantum optical lattice due to the cavity backaction, with emergent…

Quantum Gases · Physics 2024-08-19 Santiago F. Caballero-Benitez

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

A vortex in an s-wave superconductor with a surface Dirac cone can trap a Majorana bound state with zero energy leading to a zero-bias peak (ZBP) of tunneling conductance. The iron-based superconductor FeTe$_x$Se$_{1-x}$ is one of the…

Superconductivity · Physics 2020-03-10 Ching-Kai Chiu , T. Machida , Yingyi Huang , T. Hanaguri , Fu-Chun Zhang

Based on the principle of linearized stability proposed by Lyapounov, we investigate the robustness of Majorana zero energy state (MZES), which plays an important role in topological quantum computation. We show that the MZES is not enough…

General Physics · Physics 2022-05-11 Zheng-Chuan Wang

We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 T. Fukui , T. Fujiwara

Recent experiments have observed bulk superconductivity in doped topological insulators. Here we ask whether vortex Majorana zero modes, previously predicted to occur when superconductivity is induced on the surface of topological…

Superconductivity · Physics 2015-03-17 Pavan Hosur , Pouyan Ghaemi , Roger S. K. Mong , Ashvin Vishwanath

We theoretically investigate the possibility of obtaining Majorana zero modes (MZMs) in penta-silicene nanoribbons (p-SiNRs) with induced \textit{p}-wave superconductivity. The model explicitly considers an external magnetic field…

The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

Superconductivity · Physics 2023-06-14 Bo Fu , Shun-Qing Shen

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

By analytically solving the Bogoliubov-de Gennes equations we study the fermion bound states at the center of the core of a vortex in a two-dimensional superconductor. We consider three kinds of 2D superconducting models: (a) a standard…

Superconductivity · Physics 2020-11-11 Haoyun Deng , Nicholas Bonesteel , Pedro Schlottmann

Second-order topological superconductors host Majorana corner modes (MCMs), which are confined to specific corners of the system. This spatial restriction presents challenges for manipulating and relocating MCMs. We propose a novel protocol…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Ching-Kai Chiu , Yueh-Ting Yao , Tay-Rong Chang , Guang Bian

We introduce non-Hermitian generalizations of Majorana zero modes (MZMs) which appear in the topological phase of a weakly dissipative Kitaev chain coupled to a Markovian bath. Notably, the presence of MZMs ensures that the steady state in…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Simon Lieu

We study low-lying electron levels in an "antidot" capturing a coreless vortex on the surface of a three-dimensional topological insulator in the presence of disorder. The surface is covered with a superconductor film with a hole of size R…

Mesoscale and Nanoscale Physics · Physics 2012-11-13 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigel'man
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