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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Main Authors:	Musa A. M. Hussien, Aniekan Magnus Ukpong
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	topological quantum phase transitions collective excitation nanoline charge density wave Chern number Chemistry QD1-999
Online Access:	https://doaj.org/article/f1ea51b7520d4bcb8fd9b639406b375e
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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
_version_	1718411052395266048

Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials

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