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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Format: | Article |
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MDPI AG
2023-08-01
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Series: | Symmetry |
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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. |
first_indexed | 2024-03-10T21:54:46Z |
format | Article |
id | doaj.art-abcdee24003b48348c92246092d3d036 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T21:54:46Z |
publishDate | 2023-08-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 AT wenjunzhang researchprogressoftopologicalquantummaterialsfromfirstordertohigherorder |