English
Related papers

Related papers: Majorana edge modes in the Kitaev model

200 papers

Results are presented for the dynamics of an almost strong edge mode which is the quasi-stable Majorana edge mode occurring in non-integrable spin chains. The dynamics of the edge mode is studied using exact diagonalization, and compared…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Daniel J. Yates , Alexander G. Abanov , Aditi Mitra

We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive, in view of realizing and probing non-Abelian chiral spin liquids using quantum simulators. We derive the effective Hamiltonian…

Quantum Gases · Physics 2023-06-29 Bo-Ye Sun , Nathan Goldman , Monika Aidelsburger , Marin Bukov

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge…

Quantum Gases · Physics 2020-08-11 Zhongcheng Yu , Jinyuan Tian , Fansu Wei , Xuzong Chen , Xiaoji Zhou

We experimentally demonstrate that Majorana-like bound states (MLBSs) can occur in quasi-one-dimensional metamaterials, analogous to Majorana zero modes (MZM) in the Kitaev chain. In a mechanical spinner ladder system, we observe a…

Materials Science · Physics 2022-02-01 Kai Qian , David J. Apigo , Karmela Padavić , Keun Hyuk Ahn , Smitha Vishveshwara , Camelia Prodan

The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions. Numerous…

Strongly Correlated Electrons · Physics 2021-05-11 Finn Lasse Buessen , Yong Baek Kim

We theoretically investigate a practically realizable Floquet topological superconductor model, based on a one-dimensional Rashba nanowire and proximity induced $s$-wave superconductivity in the presence of a Zeeman field. The driven system…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Debashish Mondal , Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

Majorana modes can be engineered in arrays where quantum dots (QDs) are coupled via grounded superconductors, effectively realizing an artificial Kitaev chain. Minimal Kitaev chains, composed by two QDs, can host fully-localized Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 R. Seoane Souto , V. V. Baran , M. Nitsch , L. Maffi , J. Paaske , M. Leijnse , M. Burrello

We dedicate this paper to the topological analysis of subwavelength solutions in Floquet metamaterials. This work should be considered as a basis for further investigation on whether topological properties of the bulk materials are linked…

Analysis of PDEs · Mathematics 2022-09-09 Habib Ammari , Thea Kosche

We study parafermion chains with $\mathbb{Z}_k$ symmetry subject to a periodic binary drive. We focus on the case $k=3$. We find that the chains support different Floquet edge modes at nontrivial quasienergies, distinct from those for the…

Statistical Mechanics · Physics 2016-07-27 G J Sreejith , Achilleas Lazarides , Roderich Moessner

Higher-order topological insulators are distinguished by the existence of topologically protected modes with codimension two or higher. Here, we report the manifestation of a second-order topological insulator in a two dimensional…

Strongly Correlated Electrons · Physics 2018-09-03 Vatsal Dwivedi , Ciarán Hickey , Tim Eschmann , Simon Trebst

We show that in double-chain Mott insulators (ladders), disordered alternating ionic potentials may locally destroy coherence of magnetic excitations and lead to the appearance of spontaneously dimerized islands inside the Haldane…

Strongly Correlated Electrons · Physics 2015-05-28 A. A. Nersesyan , A. M. Tsvelik

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

Disordered Systems and Neural Networks · Physics 2018-10-18 Cecile Monthus

We study the entanglement properties of a three dimensional generalization of the Kitaev honeycomb model proposed by Ryu [Phys. Rev. B 79, 075124, (2009)]. The entanglement entropy in this model separates into a contribution from a $Z_2$…

Statistical Mechanics · Physics 2015-06-22 Ian Mondragon-Shem , Taylor L. Hughes

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

Superconductivity · Physics 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

We show that the existence of a Majorana bound state at one end of a Kitaev chain is unambiguously signaled by observable quantities in a nearby Kitaev ring. When the Kitaev chain is in the topological phase, the band structure of the…

Strongly Correlated Electrons · Physics 2024-03-05 Mariana Malard , David S. Brandão

The time evolution of topological systems is an active area of interest due to their expected applications in fault-tolerant quantum computing. Here, we analyze the dynamics of a noninteracting spinless fermion chain in its topological…

Strongly Correlated Electrons · Physics 2024-10-21 Thomas L. M. Lane , Miklós Horváth , Kristian Patrick

We study the energy-density dynamics at finite momentum of the two-dimensional Kitaev spin-model on the honeycomb lattice. Due to fractionalization of magnetic moments, the energy relaxation occurs through mobile Majorana matter, coupled to…

Strongly Correlated Electrons · Physics 2021-09-29 Alexandros Metavitsiadis , Wolfram Brenig

The Kitaev honeycomb model has attracted significant attention due to its exactly solvable spin-liquid ground state with fractionalized Majorana excitations and its possible materialization in magnetic Mott insulators with strong spin-orbit…

Strongly Correlated Electrons · Physics 2021-02-24 Wen-Han Kao , Johannes Knolle , Gábor B. Halász , Roderich Moessner , Natalia B. Perkins