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A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

Strongly Correlated Electrons · Physics 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur

Majorana zero modes (MZMs) have been predicted to exist in the topological insulator (TI)/superconductor (SC) heterostructure. Recent spin polarized scanning tunneling microscope (STM) experiment$^{1}$ has observed spin-polarization…

Superconductivity · Physics 2021-02-02 Lun-Hui Hu , Chuang Li , Dong-Hui Xu , Yi Zhou , Fu-Chun Zhang

We give a review on Poor Man's Majorana (PMM) modes, which are theoretically established in the minimal Kitaev chain implementation consisting of two grounded, spinless quantum dots (QDs) operating at the sweet spot condition, where…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 J. E. Sanches , T. M. Sobreira , L. S. Ricco , M. S. Figueira , A. C. Seridonio

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations, due to the topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the…

Quantum Physics · Physics 2025-11-19 Zhu-yao Jin , Jun Jing

Motivated by the recent experimental observation of the topological Anderson insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH) model, we study disorder effects on a dimerized Kitaev superconductor chain which is…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

We evaluate theoretically the possibility to realize Majorana zero modes in hybrid devices made from topological-insulator (TI) nanowires proximity-coupled to a superconductor. Such systems have been suggested as building blocks of future…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Leonard Kaufhold , Achim Rosch

Electron transport through the T-shaped quantum-dot (QD) structure is theoretically investigated, by considering a Majorana zero mode coupled to the terminal QD. It is found that in the double-QD case, the presence of the Majorana zero mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Wei-Jiang Gong , Shu-Feng Zhang , Zhi-Chao Li , Guangyu Yi , Yi-Song Zheng

One-dimensional topological superconductors host Majorana zero modes (MZMs), the non-local property of which could be exploited for quantum computing applications. Spin- polarized scanning tunneling microscopy measurements show that MZMs…

Mesoscale and Nanoscale Physics · Physics 2017-10-16 Sangjun Jeon , Yonglong Xie , Jian Li , Zhijun Wang , B. Andrei Bernevig , Ali Yazdani

We investigate the effect of correlated disorder on Majorana zero modes (MZMs) bound to magnetic vortices in two-dimensional topological superconductors. By starting from a lattice model of interacting fermions with a $p_x \pm i p_y$…

Superconductivity · Physics 2021-07-21 Casey Christian , Eugene F. Dumitrescu , Gábor B. Halász

We suggest a way to overcome the obstacles that disorder and high density of states pose to the creation of unpaired Majorana fermions in one-dimensional systems. This is achieved by splitting the system into a chain of quantum dots, which…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Ion C. Fulga , Arbel Haim , Anton R. Akhmerov , Yuval Oreg

We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

Disordered Systems and Neural Networks · Physics 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle

We theoretically study the transport properties in the T-shaped double-quantum-dot structure, by introducing the Majorana bound state (MBS) to couple to the dot in the main channel. It is found that the side-coupled dot governs the effect…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Wei-Jiang Gong , Yu-Hang Xue , Xiao-Qi Wang , Lian-Lian Zhang , Guang-Yu Yi

A single unit cell contains all the information about the bulk system, including the topological feature. The topological invariant can be extracted from a finite system, which consists of several unit cells under certain environment, such…

Quantum Physics · Physics 2020-04-23 Ci. Li , Liang. Jin , Zhi. Song

The study of topological states has become an important topic in both solid-state systems and artificial structures such as photonic crystals and phononic crystals. Among them, Majorana zero modes, which exhibit nontrivial braiding process,…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Qiyun Ma , Hailong He , Meng Xiao , Zhengyou Liu

Magnet-superconductor hybrid (MSH) systems are a key platform for custom-designed topological superconductors. Ideally, the ends of a one-dimensional MSH structure will host Majorana zero-modes (MZMs), the fundamental unit of topological…

We theoretically investigate electronic transport through a junction where a quantum dot (QD) is tunnel coupled on both sides to semiconductor nanowires with strong spin-orbit interaction and proximity-induced superconductivity. The results…

Superconductivity · Physics 2014-12-09 Guang-Yao Huang , Martin Leijnse , Karsten Flensberg , Hongqi Xu

Majorana zero modes (MZMs) are exotic excitations (in condensed matter systems) that have potential applications in topological quantum computation. Though MZMs have been predicted on many platforms, their existence of them is still under…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Zhan Cao , Shumeng Chen , Gu Zhang , Dong E. Liu

Majorana bound states constitute one of the simplest examples of emergent non-Abelian excitations in condensed matter physics. A toy model proposed by Kitaev shows that such states can arise at the ends of a spinless $p$-wave…