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The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental…

Quantum Physics · Physics 2016-10-26 Jin-Shi Xu , Kai Sun , Yong-Jian Han , Chuan-Feng Li , Jiannis K. Pachos , Guang-Can Guo

Majorana zero modes in a superconductor-semiconductor nanowire have been extensively studied during the past decade. Disorder remains a serious problem, preventing the definitive observation of topological Majorana bound states. Thus, it is…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Haining Pan , S. Das Sarma

We study a hybrid structure, comprising the single-level quantum dot attached to the topological superconducting nanowire, inspecting dynamical transfer of the Majorana quasiparticle onto normal region. Motivated by the recent experimental…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 J. Baranski , M. Baranska , T. Zienkiewicz , R. Taranko , T. Domanski

We propose a nanodevice based on multi-terminal Josephson junctions for the creation and detection of poor man's Majorana (PMM) modes. The device consists of a double three-terminal Josephson junction (3TJJ) embedded in a planar…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Samuel D. Escribano , Anders Enevold Dahl , Karsten Flensberg , Yuval Oreg

A decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the…

Quantum Physics · Physics 2021-01-14 Jose Reslen

We investigate the spectral and transport properties of a double quantum dot laterally attached to a topological superconducting nanowire, hosting the Majorana zero-energy modes. Specifically, we consider a geometry, in which the outer…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Piotr Majek , Grzegorz Górski , Tadeusz Domański , Ireneusz Weymann

We investigate electron transport inside a ring system composed of a quantum dot (QD) coupled to two Majorana bound states confined at the ends of a one-dimensional topological superconductor nanowire. By tuning the magnetic flux threading…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Qi-Bo Zeng , Shu Chen , L. You , Rong Lv

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in $Y$-shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot…

Superconductivity · Physics 2023-10-03 Bradraj Pandey , Nitin Kaushal , Gonzalo Alvarez , Elbio Dagotto

The recent realization of a two-site Kitaev chain featuring "poor man's Majorana" states demonstrates a path forward in the field of topological superconductivity. Harnessing the potential of these states for quantum information processing,…

For an electrically driven electron confined in a nanowire quantum dot with spin-orbit coupling (SOC), we find a SOC-magnetism phase-locked condition under which we derive a complete set of Schr\"odinger kitten states which contains some…

Mesoscale and Nanoscale Physics · Physics 2018-03-06 Kuo Hai , Qiong Chen , Wenhua Hai

Non-Abelian braiding is a key property of Majorana zero modes (MZMs) that can be utilized for topological quantum computation. However, the presence of trivial Andreev bound states (ABSs) in topological superconductors can hinder the…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Yu Zhang , Yijia Wu , Jie Liu , X. C. Xie

Non-Abelian anyons--particles whose exchange noncommutatively transforms a system's quantum state--are widely sought for the exotic fundamental physics they harbor as well as for quantum computing applications. There now exist numerous…

Strongly Correlated Electrons · Physics 2013-01-24 David J. Clarke , Jason Alicea , Kirill Shtengel

Identification of isolated Majorana zero modes (MZMs) is a key step towards the realization of fault-tolerant topological quantum computation. Here we show how the $T_1$-based noise magnetormetry of a nitrogen-vacancy (NV) center qubit can…

Strongly Correlated Electrons · Physics 2025-02-05 Xiao Xiao , Masahiro O. Takahashi , Paul Stevenson , Satoshi Fujimoto , Arun Bansil

The "Poor Man's Majorana" [Phys. Rev. B 86, 134528 (2012)] devoid of topological protection has been theoretically predicted to rely on the minimal Kitaev chain. Afterward, a pair of superconducting and spinless quantum dots turned the…

Mesoscale and Nanoscale Physics · Physics 2024-08-28 J. E. Sanches , L. T. Lustosa , L. S. Ricco , H. Sigurðsson , M. de Souza , M. S. Figueira , E. Marinho , A. C. Seridonio

As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

We theoretically investigate Majorana zero modes emerging in an anisotropic XY spin chain with second neighbor interactions. The spin chain is mathematically equivalent to the Kitaev chain composing of spinless fermions if only…

Strongly Correlated Electrons · Physics 2021-08-18 Kazuhiro Wada , Takanori Sugimoto , Takami Tohyama

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

Majorana-based topological qubits are expected to exploit the nonabelian braiding statistics of Majorana modes in topological superconductors to realize fault-tolerant topological quantum computation. Scalable qubit designs require several…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta