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Robustness of edge states and non-Abelian excitations of topological states of matter promises quantum memory and quantum processing, which is naturally immune against microscopic imperfections such as static disorder. However, topological…

Quantum Physics · Physics 2015-10-21 Ying Hu , Zi Cai , Mikhail A. Baranov , Peter Zoller

Electronic excitations above the ground state must overcome an energy gap in superconductors with spatially-homogeneous s-wave pairing. In contrast, inhomogeneous superconductors such as those with magnetic impurities or weak links, or…

A convenient and effective way in the quantum double model to study anyons in a topological space with a tensor product structure is to create and braid anyons using ribbon operators connected to a common base site [A. Kitaev Ann.\ Phys.…

Quantum Physics · Physics 2015-06-12 Xi-wang Luo , Yong-jian Han , Guang-can Guo , Xingxiang Zhou , Zheng-Wei Zhou

The Andreev transport through a quantum dot coupled to two external ferromagnetic leads and one superconducting lead is studied theoretically by means of the real-time diagrammatic technique in the sequential and cotunneling regimes. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 I. Weymann , P. Trocha

We propose a novel scheme for performing Majorana zero mode (MZM) braiding utilizing cotunneling processes in a three-MZM system incorporating reference arms. This approach relies on the interference between cotunneling paths through the…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Zhen Chen , Yijia Wu , X. C. Xie

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

Strongly Correlated Electrons · Physics 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Da Wang , Zhoushen Huang , Congjun Wu

Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire.…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Jay D. Sau , D. J. Clarke , S. Tewari

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

In this article, we study the quantum transport through a single-level quantum-dot in Kondo regime, coupled to current leads and embedded between two one-dimensional topological superconductors, each hosting Majorana zero modes at their…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 G. A. Lara , J. P. Ramos-Andrade , D. Zambrano , P. A. Orellana

We study the energy levels and transport properties of an extended Kitaev chain with a phase gradient. It is demonstrated that the hopping phase difference can effectively induce the generation of Majorana bound states, which are located at…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Xuan Zhang , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

Hybrid devices combining quantum dots with superconductors are important building blocks of conventional and topological quantum-information experiments. A requirement for the success of such experiments is to understand the various…

Mesoscale and Nanoscale Physics · Physics 2019-02-07 Zoltán Scherübl , András Pályi , Szabolcs Csonka

Quantum spin liquids realized in the Kitaev model offer a platform for fractionalization of spin into two quasiparticles: itinerant Majoranas and localized visons. Introducing a uniform weak magnetic field associates a Majorana zero mode…

Strongly Correlated Electrons · Physics 2025-04-23 Chihiro Harada , Atsushi Ono , Joji Nasu

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

The nonlocal nature of the fermionic mode spanned by a pair of Majorana bound states in a one-dimensional topological superconductor has inspired many proposals aiming at demonstrating this property in transport. In particular, transport…

Superconductivity · Physics 2015-09-01 Jascha Ulrich , Fabian Hassler

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that could ultimately provide the foundation for a decoherence-free quantum computer. A key breakthrough in the pursuit of these exotic particles originated from…

We investigate non-Abelian statistics of Majorana Kramers pairs (MKPs) in a network system of one-dimensional time-reversal invariant topological superconductors by using numerical simulations of braiding dynamics, and examine the tolerance…

Superconductivity · Physics 2022-09-01 Yuki Tanaka , Takumi Sanno , Takeshi Mizushima , Satoshi Fujimoto

We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Konrad Wölms , Karsten Flensberg

We study how quantum states are scrambled via braiding in systems of non-Abelian anyons through the lens of entanglement spectrum statistics. In particular, we focus on the degree of scrambling, defined as the randomness produced by…

Strongly Correlated Electrons · Physics 2019-01-21 Zhi-Cheng Yang , Konstantinos Meichanetzidis , Stefanos Kourtis , Claudio Chamon

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn