Role of Majorana fermions in high-harmonic generation from Kitaev chain

Abstract 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 simulate the high-harmonic spectrum of Kitaev’s superc...

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Main Authors: Adhip Pattanayak, Sumiran Pujari, Gopal Dixit
Format: Article
Language:English
Published: Nature Portfolio 2022-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-10465-9
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author Adhip Pattanayak
Sumiran Pujari
Gopal Dixit
author_facet Adhip Pattanayak
Sumiran Pujari
Gopal Dixit
author_sort Adhip Pattanayak
collection DOAJ
description Abstract 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 simulate the high-harmonic spectrum of Kitaev’s superconducting chain model that hosts Majorana edge modes in its topological phase. It is well-known that this system exhibits a topological–trivial superconducting phase transition. We demonstrate that high-harmonic spectroscopy is sensitive to the phase transition in presence of open boundary conditions due to the presence or absence of these edge modes. The population dynamics of the Majorana edge modes are different from the bulk modes, which is the underlying reason for the distinct harmonic profile of both the phases. On the contrary, in presence of periodic boundary conditions with only bulk modes, high-harmonic spectroscopy becomes insensitive to the phase transition with similar harmonic profiles in both phases.
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spelling doaj.art-1ed2540c9d5c45168975f017b65a98ae2022-12-22T02:07:19ZengNature PortfolioScientific Reports2045-23222022-04-011211710.1038/s41598-022-10465-9Role of Majorana fermions in high-harmonic generation from Kitaev chainAdhip Pattanayak0Sumiran Pujari1Gopal Dixit2Department of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Technology BombayAbstract 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 simulate the high-harmonic spectrum of Kitaev’s superconducting chain model that hosts Majorana edge modes in its topological phase. It is well-known that this system exhibits a topological–trivial superconducting phase transition. We demonstrate that high-harmonic spectroscopy is sensitive to the phase transition in presence of open boundary conditions due to the presence or absence of these edge modes. The population dynamics of the Majorana edge modes are different from the bulk modes, which is the underlying reason for the distinct harmonic profile of both the phases. On the contrary, in presence of periodic boundary conditions with only bulk modes, high-harmonic spectroscopy becomes insensitive to the phase transition with similar harmonic profiles in both phases.https://doi.org/10.1038/s41598-022-10465-9
spellingShingle Adhip Pattanayak
Sumiran Pujari
Gopal Dixit
Role of Majorana fermions in high-harmonic generation from Kitaev chain
Scientific Reports
title Role of Majorana fermions in high-harmonic generation from Kitaev chain
title_full Role of Majorana fermions in high-harmonic generation from Kitaev chain
title_fullStr Role of Majorana fermions in high-harmonic generation from Kitaev chain
title_full_unstemmed Role of Majorana fermions in high-harmonic generation from Kitaev chain
title_short Role of Majorana fermions in high-harmonic generation from Kitaev chain
title_sort role of majorana fermions in high harmonic generation from kitaev chain
url https://doi.org/10.1038/s41598-022-10465-9
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