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One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

Strongly Correlated Electrons · Physics 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley

We propose a semiconductor-superconductor hybrid device for realizing topological superconductivity and Majorana zero modes consisting of a planar Josephson junction structure with periodically modulated junction width. By performing a…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Purna P. Paudel , Trey Cole , Benjamin D. Woods , Tudor D. Stanescu

In this work, we show that an in-plane magnetic field can drive a fully gapped $p \pm i p$ topological superconductor into a gapless phase which supports symmetry protected Majorana edge states (MESs). Specifically, an in-plane magnetic…

Superconductivity · Physics 2015-06-05 Chris L. M. Wong , Jie Liu , K. T. Law , Patrick A. Lee

The search for Majorana bound states in solid-state physics has been limited to materials which display a gap in their bulk spectrum. We show that such unpaired states appear in certain quasi-one-dimensional Josephson junctions arrays with…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 M. Pino , A. M. Tsvelik , L. B. Ioffe

I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states in different symmetry sectors, resulting in identical…

Statistical Mechanics · Physics 2017-07-19 Paul Fendley

Full-shell nanowires (semiconducting nanowires fully coated with a superconducting shell) have been recently presented as a novel means to create Majorana zero modes. In contrast to partially coated nanowires, it has been argued that…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

Mechanical systems can display topological characteristics similar to that of topological insulators. Here we report a large class of topological mechanical systems related to the BDI symmetry class. These are self-assembled chains of rigid…

Soft Condensed Matter · Physics 2017-04-24 Emil Prodan , Kyle Dobiszewski , Alokik Kanwal , John Palmieri , Camelia Prodan

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

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

Majorana zero modes in superconductor-nanowire hybrid structures are a promising candidate for topologically protected qubits with the potential to be used in scalable structures. Currently, disorder in such Majorana wires is a major…

Mesoscale and Nanoscale Physics · Physics 2024-01-22 Matthias Thamm , Bernd Rosenow

A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes and holds a promise for topological quantum computing. Yet, most experiments scrutinizing these…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Pei-Xin Shen , Vivien Perrin , Mircea Trif , Pascal Simon

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang

Nodal topological superconductors display zero-energy Majorana flat bands at generic edges. The flatness of these edge bands, which is protected by time-reversal and translation symmetry, gives rise to an extensive ground-state degeneracy.…

Strongly Correlated Electrons · Physics 2016-06-22 Johannes S. Hofmann , Fakher F. Assaad , Andreas P. Schnyder

One of the simplest proposed experimental probes of a Majorana bound-state is a quantized (2e^2/h) value of zero-bias tunneling conductance. When temperature is somewhat larger than the intrinsic width of the Majorana peak, conductance is…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Jie Liu , Andrew C. Potter , K. T. Law , Patrick A. Lee

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

Strongly Correlated Electrons · Physics 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

Superconductivity · Physics 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamiltonians, we present a number-conserving, interacting…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Gerardo Ortiz , Jorge Dukelsky , Emilio Cobanera , Carlos Esebbag , Carlo Beenakker

Majorana zero modes are non-Abelian quasiparticles that emerge on the edges of topological phases of superconductors. Evidence of their presence has been reported in transport measurements on engineered superconducting-based nanostructures.…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Dganit Meidan , Tal Gur , Alessandro Romito

Topological superconductors are a class of unconventional superconducting materials featuring sub-gap zero-energy Majorana bound modes that hold promise as a building block for topological quantum computing. In this work, we study the…

Superconductivity · Physics 2023-10-30 Zi-Ming Wang , Meng Zeng , Chen Lu , Da-Shuai Ma , Rui-Xing Zhang , Lun-Hui Hu , Dong-Hui Xu