Research Progress of Topological Quantum Materials: From First-Order to Higher-Order

The exploration of topologically nontrivial states in condensed matter systems, along with their novel transport properties, has garnered significant research interest. This review aims to provide a comprehensive overview of representative topological phases, starting from the initial proposal of th...

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Main Authors: Bing Liu, Wenjun Zhang
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/9/1651
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author Bing Liu
Wenjun Zhang
author_facet Bing Liu
Wenjun Zhang
author_sort Bing Liu
collection DOAJ
description The exploration of topologically nontrivial states in condensed matter systems, along with their novel transport properties, has garnered significant research interest. This review aims to provide a comprehensive overview of representative topological phases, starting from the initial proposal of the quantum Hall insulator. We begin with a concise introduction, followed by a detailed examination of first-order topological quantum phases, including gapped and gapless systems, encompassing relevant materials and associated phenomena in experiment. Subsequently, we delve into the realm of exotic higher-order topological quantum phases, examining both theoretical propositions and experimental findings. Moreover, we discuss the mechanisms underlying the emergence of higher-order topology, as well as the challenges involved in experimentally verifying materials exhibiting such properties. Finally, we outline future research directions. This review not only systematically surveys various types of topological quantum states, spanning from first-order to higher-order, but also proposes potential approaches for realizing higher-order topological phases, thereby offering guidance for the detection of related quantum phenomena in experiments.
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spelling doaj.art-abcdee24003b48348c92246092d3d0362023-11-19T13:10:44ZengMDPI AGSymmetry2073-89942023-08-01159165110.3390/sym15091651Research Progress of Topological Quantum Materials: From First-Order to Higher-OrderBing Liu0Wenjun Zhang1School of Physics and Electronic Information, Weifang University, Weifang 261061, ChinaSchool of Physics and Electronic Information, Weifang University, Weifang 261061, ChinaThe exploration of topologically nontrivial states in condensed matter systems, along with their novel transport properties, has garnered significant research interest. This review aims to provide a comprehensive overview of representative topological phases, starting from the initial proposal of the quantum Hall insulator. We begin with a concise introduction, followed by a detailed examination of first-order topological quantum phases, including gapped and gapless systems, encompassing relevant materials and associated phenomena in experiment. Subsequently, we delve into the realm of exotic higher-order topological quantum phases, examining both theoretical propositions and experimental findings. Moreover, we discuss the mechanisms underlying the emergence of higher-order topology, as well as the challenges involved in experimentally verifying materials exhibiting such properties. Finally, we outline future research directions. This review not only systematically surveys various types of topological quantum states, spanning from first-order to higher-order, but also proposes potential approaches for realizing higher-order topological phases, thereby offering guidance for the detection of related quantum phenomena in experiments.https://www.mdpi.com/2073-8994/15/9/1651quantum Hall effecttopological insulatortopological semimetalhigher-order topological insulatorhigher-order topological semimetalboundary state
spellingShingle Bing Liu
Wenjun Zhang
Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
Symmetry
quantum Hall effect
topological insulator
topological semimetal
higher-order topological insulator
higher-order topological semimetal
boundary state
title Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
title_full Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
title_fullStr Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
title_full_unstemmed Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
title_short Research Progress of Topological Quantum Materials: From First-Order to Higher-Order
title_sort research progress of topological quantum materials from first order to higher order
topic quantum Hall effect
topological insulator
topological semimetal
higher-order topological insulator
higher-order topological semimetal
boundary state
url https://www.mdpi.com/2073-8994/15/9/1651
work_keys_str_mv AT bingliu researchprogressoftopologicalquantummaterialsfromfirstordertohigherorder
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