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An existence criterion for low-dimensional materials.

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Title: An existence criterion for low-dimensional materials.
Authors: Chen, Jiapeng1, Wang, Biao2,3 wangbiao@mail.sysu.edu.cn, Hu, Yangfan3
Source: Journal of the Mechanics & Physics of Solids. Oct2017, Vol. 107, p451-468. 18p.
Subjects: Low-dimensional topology, Interatomic angles, Lattice theory, Graphene, Temperature
Abstract: The discovery of graphene and other two-dimensional (2-D) materials has stimulated a general interest in low-dimensional (low-D) materials. Whereas long time ago, Peierls (1935) and Landau's (1937) theoretical work demonstrated that any one- and two-dimensional materials could not exist in any finite temperature environment. Then, two basic issues became a central concern for many researchers: How can stable low-D materials exist? What kind of low-D materials are stable? Here, we establish an energy stability criterion for low-D materials, which seeks to provide a clear answer to these questions. For a certain kind of element, the stability of its specific low-D structure is determined by several derivatives of its interatomic potential. This atomistic-based approach is then applied to study any straight/planar, low-D, equal-bond-length elemental materials. We found that 1-D monatomic chains, 2-D honeycomb lattices, square lattices, and triangular lattices are the only four permissible structures, and the stability of these structures can only be understood by assuming multi-body interatomic potentials. Using this approach, the stable existence of graphene, silicene and germanene can be explained. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Mechanics & Physics of Solids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 124440556
AccessLevel: 6
PubType: Periodical
PubTypeId: serialPeriodical
PreciseRelevancyScore: 0
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  Data: An existence criterion for low-dimensional materials.
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  Data: <searchLink fieldCode="DE" term="%22Low-dimensional+topology%22">Low-dimensional topology</searchLink><br /><searchLink fieldCode="DE" term="%22Interatomic+angles%22">Interatomic angles</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+theory%22">Lattice theory</searchLink><br /><searchLink fieldCode="DE" term="%22Graphene%22">Graphene</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature%22">Temperature</searchLink>
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  Label: Abstract
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  Data: The discovery of graphene and other two-dimensional (2-D) materials has stimulated a general interest in low-dimensional (low-D) materials. Whereas long time ago, Peierls (1935) and Landau's (1937) theoretical work demonstrated that any one- and two-dimensional materials could not exist in any finite temperature environment. Then, two basic issues became a central concern for many researchers: How can stable low-D materials exist? What kind of low-D materials are stable? Here, we establish an energy stability criterion for low-D materials, which seeks to provide a clear answer to these questions. For a certain kind of element, the stability of its specific low-D structure is determined by several derivatives of its interatomic potential. This atomistic-based approach is then applied to study any straight/planar, low-D, equal-bond-length elemental materials. We found that 1-D monatomic chains, 2-D honeycomb lattices, square lattices, and triangular lattices are the only four permissible structures, and the stability of these structures can only be understood by assuming multi-body interatomic potentials. Using this approach, the stable existence of graphene, silicene and germanene can be explained. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the Mechanics & Physics of Solids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jmps.2017.07.017
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 451
    Subjects:
      – SubjectFull: Low-dimensional topology
        Type: general
      – SubjectFull: Interatomic angles
        Type: general
      – SubjectFull: Lattice theory
        Type: general
      – SubjectFull: Graphene
        Type: general
      – SubjectFull: Temperature
        Type: general
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      – TitleFull: An existence criterion for low-dimensional materials.
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            NameFull: Chen, Jiapeng
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            NameFull: Wang, Biao
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            NameFull: Hu, Yangfan
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          Dates:
            – D: 01
              M: 10
              Text: Oct2017
              Type: published
              Y: 2017
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              Value: 107
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