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We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the case of an open chain. We also discuss the structure of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-12 Iman Mahyaeh , Eddy Ardonne

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

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 propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Dong E. Liu , Harold U. Baranger

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

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

We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We consider a non-Hermitian generalization of the Kitaev model and study the existence of stable Majorana zero energy modes. We show that they exist in the limit of zero chemical potential even if balanced gain and loss are randomly…

Quantum Physics · Physics 2019-05-21 C. Yuce

We study the Kitaev chain under generalized twisted boundary conditions, for which both the amplitudes and the phases of the boundary couplings can be tuned at will. We explicitly show the presence of exact zero modes for large chains…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Kohei Kawabata , Ryohei Kobayashi , Ning Wu , Hosho Katsura

An array of quantum dots coupled via superconductivity provides a new platform for creating Kitaev chains with Majorana zero modes, offering a promising avenue toward topological quantum computing. In this work, we theoretically study the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Chun-Xiao Liu

We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Corneliu Malciu , Leonardo Mazza , Christophe Mora

We investigate the distribution of the electron density and the potential in a quantum wire coupled to reservoirs, treating this structure as a unified quantum system and taking into account the Coulomb interaction of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , S. V. Polyakov , M. Buttiker

We show that line defects in a non-Abelian Kitaev spin liquid harbor gapless one-dimensional Majorana modes if the interaction across the defect falls below a critical value. Treating the weak interaction at the line defect within a…

Strongly Correlated Electrons · Physics 2022-01-10 Lucas R. D. Freitas , Rodrigo G. Pereira

A tunneling junction between normal electrode and a topological superconducting wire, mediated by a quantum dot, is considered theoretically. We show that the presence of the dot in the junction can be advantageous to Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Piotr Stefański

We consider transport through a one-dimensional conductor subject to an external periodic potential and connected to non-interacting leads (a "Mott quantum wire"). For the case of a strong periodic potential, the conductance is shown to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Oleg A. Starykh , Dmitrii L. Maslov

The topological characteristics of the $p$-wave Kitaev chains on a square lattice with nearest-neighbor and next-nearest-neighbor inter-chains hopping and pairing are investigated. Besides gapless exact zero-energy modes, this model…

Other Condensed Matter · Physics 2024-10-08 S. Srinidhi , Aayushi Agrawal , Jayendra N. Bandyopadhyay

Most quantum point contacts (QPCs) fabricated in high-mobility 2D electron gases show a zero-bias conductance peak near pinchoff, but the origin of this peak remains a mystery. Previous experiments have primarily focused on the zero-bias…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Y. Ren , W. W. Yu , S. M. Frolov , J. A. Folk , W. Wegscheider

The transport behavior of a double quantum dot side-attached to a topological superconducting wire hosting Majorana zero-energy modes is studied theoretically in the strong correlation regime. It is shown that Majorana modes can leak to the…

Strongly Correlated Electrons · Physics 2020-06-03 Ireneusz Weymann , Krzysztof P. Wójcik , Piotr Majek

We study the low-energy eigenstates of a topological superconductor wire modeled by a Kitaev chain, which is connected at one of its ends to a quantum dot through nearest-neighbor (NN) hopping and NN Coulomb repulsion. Using an unrestricted…

Mesoscale and Nanoscale Physics · Physics 2024-03-04 R. Kenyi Takagui Perez , A. A. Aligia

This paper studies an extended Kitaev chain with three sublattices per unit cell. This extended version is obtained by hybridizing a modified Su-Schrieffer-Heeger model featuring trimerized unit cells with the standard Kitaev chain,…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Mohammad Ghuneim , Raditya Weda Bomantara
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