Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials

First-principles calculations of the electronic ground state in tantalum arsenide are combined with tight-binding calculations of the field dependence of its transport model equivalent on the graphene monolayer to study the emergence of topologically ordered quantum states, and to obtain topological...

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Autores principales: Musa A. M. Hussien, Aniekan Magnus Ukpong
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:f1ea51b7520d4bcb8fd9b639406b375e2021-11-25T18:30:49ZElectrodynamics of Topologically Ordered Quantum Phases in Dirac Materials10.3390/nano111129142079-4991https://doaj.org/article/f1ea51b7520d4bcb8fd9b639406b375e2021-10-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/2914https://doaj.org/toc/2079-4991First-principles calculations of the electronic ground state in tantalum arsenide are combined with tight-binding calculations of the field dependence of its transport model equivalent on the graphene monolayer to study the emergence of topologically ordered quantum states, and to obtain topological phase diagrams. Our calculations include the degrees of freedom for nuclear, electronic, and photonic interactions explicitly within the quasistatic approximation to the time-propagation-dependent density functional theory. This field-theoretic approach allows us to determine the non-linear response of the ground state density matrix to the applied electromagnetic field at distinct quantum phase transition points. Our results suggest the existence of a facile electronic switch between trivial and topologically ordered quantum states that may be realizable through the application of a perpendicular electric or magnetic field alongside a staggered-sublattice potential in the underlying lattice. Signatures of the near field electrodynamics in nanoclusters show the formation of a quantum fluid phase at the topological quantum phase transition points. The emergent carrier density wave transport phase is discussed to show that transmission through the collective excitation mode in multilayer heterostructures is a unique possibility in plasmonic, optoelectronic, and photonic applications when atomic clusters of Dirac materials are integrated within nanostructures, as patterned or continuous surfaces.Musa A. M. HussienAniekan Magnus UkpongMDPI AGarticletopological quantum phase transitionscollective excitationnanolinecharge density waveChern numberChemistryQD1-999ENNanomaterials, Vol 11, Iss 2914, p 2914 (2021)
institution DOAJ
collection DOAJ
language EN
topic topological quantum phase transitions
collective excitation
nanoline
charge density wave
Chern number
Chemistry
QD1-999
spellingShingle topological quantum phase transitions
collective excitation
nanoline
charge density wave
Chern number
Chemistry
QD1-999
Musa A. M. Hussien
Aniekan Magnus Ukpong
Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
description First-principles calculations of the electronic ground state in tantalum arsenide are combined with tight-binding calculations of the field dependence of its transport model equivalent on the graphene monolayer to study the emergence of topologically ordered quantum states, and to obtain topological phase diagrams. Our calculations include the degrees of freedom for nuclear, electronic, and photonic interactions explicitly within the quasistatic approximation to the time-propagation-dependent density functional theory. This field-theoretic approach allows us to determine the non-linear response of the ground state density matrix to the applied electromagnetic field at distinct quantum phase transition points. Our results suggest the existence of a facile electronic switch between trivial and topologically ordered quantum states that may be realizable through the application of a perpendicular electric or magnetic field alongside a staggered-sublattice potential in the underlying lattice. Signatures of the near field electrodynamics in nanoclusters show the formation of a quantum fluid phase at the topological quantum phase transition points. The emergent carrier density wave transport phase is discussed to show that transmission through the collective excitation mode in multilayer heterostructures is a unique possibility in plasmonic, optoelectronic, and photonic applications when atomic clusters of Dirac materials are integrated within nanostructures, as patterned or continuous surfaces.
format article
author Musa A. M. Hussien
Aniekan Magnus Ukpong
author_facet Musa A. M. Hussien
Aniekan Magnus Ukpong
author_sort Musa A. M. Hussien
title Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
title_short Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
title_full Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
title_fullStr Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
title_full_unstemmed Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials
title_sort electrodynamics of topologically ordered quantum phases in dirac materials
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/f1ea51b7520d4bcb8fd9b639406b375e
work_keys_str_mv AT musaamhussien electrodynamicsoftopologicallyorderedquantumphasesindiracmaterials
AT aniekanmagnusukpong electrodynamicsoftopologicallyorderedquantumphasesindiracmaterials
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