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Boundaries determine the formation energies of lattice defects in two-dimensional buckled materials
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Universiteit Utrecht, Netherlands.
2016 (English)In: PHYSICAL REVIEW B, ISSN 2469-9950, Vol. 94, no 2, 020102Article in journal (Refereed) Published
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Abstract [en]

Lattice defects are inevitably present in two-dimensional materials, with direct implications on their physical and chemical properties. We show that the formation energy of a lattice defect in buckled two-dimensional crystals is not uniquely defined as it takes different values for different boundary conditions even in the thermodynamic limit, as opposed to their perfectly planar counterparts. Also, the approach to the thermodynamic limit follows a different scaling: inversely proportional to the logarithm of the system size for buckled materials, rather than the usual power-law approach. In graphene samples of similar to 1000 atoms, different boundary conditions can cause differences exceeding 10 eV. Besides presenting numerical evidence in simulations, we show that the universal features in this behavior can be understood with simple bead-spring models. Fundamentally, our findings imply that it is necessary to specify the boundary conditions for the energy of the lattice defects in the buckled two-dimensional crystals to be uniquely defined, and this may explain the lack of agreement in the reported values of formation energies in graphene. We argue that boundary conditions may also have an impact on other physical observables such as the melting temperature.

Place, publisher, year, edition, pages
American Physical Society , 2016. Vol. 94, no 2, 020102
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-190553DOI: 10.1103/PhysRevB.94.020102ISI: 000380098200001Scopus ID: 2-s2.0-84980332294OAI: oai:DiVA.org:kth-190553DiVA: diva2:952784
Note

QC 20160815

Available from: 2016-08-15 Created: 2016-08-12 Last updated: 2016-08-15Bibliographically approved

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Juricic, Vladimir
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