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Related papers: Exact zero modes in twisted Kitaev chains

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The long-range interaction can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is…

Strongly Correlated Electrons · Physics 2024-08-16 Wen-Hao Zhong , Wei-Lin Li , Yong-Chang Chen , Xue-Jia Yu

We compute the disorder averaged dc conductance in the non-equilibrium steady state that sets in between a longer-range Kitaev chain and a metallic lead connected to an external reservoir, as a function of the system parameters and of the…

Strongly Correlated Electrons · Physics 2026-01-28 Emmanuele G. Cinnirella , Andrea Nava , Domenico Giuliano

One of the problems concerning topological phases in solid-state systems which still remains urgent is an issue of many-body effects. In this study we address it within perturbative theory framework by considering topological phase…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 M. S. Shustin , S. V. Aksenov , I. S. Burmistrov

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Artificial Kitaev chains engineered from semiconducting quantum dots coupled by superconducting segments offer a promising route to realize and control Majorana bound states for topological quantum computation. We study a dimerized Kitaev…

Materials Science · Physics 2025-09-15 Rafael Pineda Medina , Pablo Burset , William J. Herrera

We consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana zero-modes at the…

Superconductivity · Physics 2021-09-03 L. S. Ricco , J. E. Sanches , Y. Marques , M. de Souza , M. S. Figueira , I. A. Shelykh , A. C. Seridonio

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

We study the effects of vacancy disorder on the Kitaev model defined on a hexagonal lattice. We show that the vacancy disorder induces a zero-mode that is localized at the defect site. We derive analytical forms for these localized wave…

Strongly Correlated Electrons · Physics 2013-05-30 Santhosh G. , V. Sreenath , Arul Lakshminarayan , Rajesh Narayanan

A one-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological phase. MZMs provide a path to realising fault-tolerant quantum computation, and…

Quantum Physics · Physics 2017-11-07 Sania Jevtic , Ryan Barnett

Twisted bilayer graphene (TBG) hosts a rich landscape of electronic phases arising from the interplay between strong electron-electron interactions and nontrivial band topology. While the flat bands near zero energy are central to many…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Leonardo A. Navarro-Labastida , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis

We examine properties of the mean-field wave function of the one-dimensional Kitaev model supporting Majorana Zero Modes (MZMs) \emph{when restricted} to a fixed number of particles. Such wave functions can in fact be realized as exact…

Superconductivity · Physics 2023-09-04 Rohith Sajith , Kartiek Agarwal , Ivar Martin

In this article, we developed a generalized coupled-mode theory for mixing an isolated state with the gapped continuum to unify the engineering mechanism of gap-protected zero modes, Fano resonance and Tamm surface states, even though those…

Optics · Physics 2018-11-30 Ying Yang , Yiming Pan

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

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

Strongly Correlated Electrons · Physics 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

It has recently been pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low temperature region is constant up to terms of…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Caselle , Pietro Giudice , Ferdinando Gliozzi , Paolo Grinza , Stefano Lottini

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

Strongly Correlated Electrons · Physics 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

We study a one-dimensional Kitaev model with uniform phase gradient pairing term. We show that the gradient constant dramatically affects the phase diagram, which consists of topologically trivial and nontrivial phases, associated with…

Strongly Correlated Electrons · Physics 2023-05-16 E. S. Ma , Z. Song

In this general article, we map the one-dimensional transverse field quantum Ising model of ferromagnetism to Kitaev's one-dimensional p-wave superconductor, which has its application in fault-tolerant topological quantum computing. Mapping…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Kartik Chhajed

We analyse a spin-1/2 chain with two-spin interactions which shown to exactly solvable by Lieb, Schultz and Mattis. We show that the model can be viewed as a generalised Kitaev model that is analytically solvable for all defect sectors. We…

Strongly Correlated Electrons · Physics 2015-06-12 Abhinav Saket , S. R. Hassan , R. Shankar
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