Inter-layer bonds in bilayer graphene with single vacancy defects
Source abstract
Abstract
Abstract If a single vacancy defect occurs in both layers of bilayer graphene, a bond can develop between the two layers under certain circumstances. In this paper we determine if and where a bond between the layers is formed. Using the length of the shortest odd periodic orbit, we can establish the exact position and orientation of the break in each layer. If the configuration is suitable and the planar distance between the breaks is not more than 3 units, then investigating the amplitude for periodic orbits of length two enables us to conclude whether the bond between the layers is created or not.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Graphene research and applications · Carbon Nanotubes in Composites · Thermal properties of materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (22)
Show source-provided references
1. O. Akhavan. Graphene Nanomesh by ZnO Nanorod Photocatalysts, ACS Nano, 4(7), 4174–4180, 2010. https://doi.org/10.1021/nn100742910.1021/nn1007429 ↗
2. S. Alexander. Superconductivity of networks. A percolation approach to the effects of disorder, Phys. Rev. B, 27, 1541–1557, 1985. https://doi.org/10.1103/PhysRevB.27.154110.1103/PhysRevB.27.1541 ↗
3. M. Archibald, S. Currie and M. Nowaczyk. Characterisation of a break in a quantum grid, Acta Physica Polonica, A. 138(3), 383–391, 2020. https://doi.org/10.12693/APhysPolA.138.38310.12693/APhysPolA.138.383 ↗
4. M. Archibald, S. Currie and M. Nowaczyk. Finding the hole in a wall, Journal of Mathematical Chemistry, 58, 2313–2323, 2020. https://doi.org/10.1007/s10910-020-01178-310.1007/s10910-020-01178-3 ↗
5. M. Archibald, S. Currie and M. Nowaczyk. Determining the defect type in a graphene lattice, Fullerenes, Nanotubes and Carbon Nanostructures, 32(4), 311-317, 2024. https://doi.org/10.1080/1536383X.2023.228075210.1080/1536383X.2023.2280752 ↗
6. F. Banhart, J. Kotakoski and A.V. Krashaninnikov. Structual defects in graphene, American Chemical Society, 5(1), 26–41, 2011. https://doi.org/10.1021/nn102598m10.1021/nn102598m ↗
7. S. Bidmeshkipour, O. Akhavan, P. Salami and L. Yousefi. Aperiodic perforated graphene in optical nanocavity absorbers, Materials Science and Engineering: B, 276, 115557, 2022. https://doi.org/10.1016/j.mseb.2021.11555710.1016/j.mseb.2021.115557 ↗
8. S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter and F. Schäfer. Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene, Phys. Rev. B 82(1), 014301, 2010. https://doi.org/10.1103/PhysRevB.82.01430110.1103/PhysRevB.82.014301 ↗
9. P. Exner and P. Šeba. Electrons in semiconductor microstructures: a challenge to operator theorists, Schrödinger Operators, Standard and Nonstandard (Dubna 1988), 79–100, 1989
10. L. Gao. Probing Electronic Properties of Graphene on the Atomic Scale by Scanning Tunneling Microscopy and Spectroscopy, Graphene and 2D Materials, 1(1), 23–46, 2014. https://doi.org/10.2478/gpe-2014-000210.2478/gpe-2014-0002 ↗
11. J. Griffith. A free-electron theory of conjugated molecules I. Polycyclic Hydrocarbons, Trans. Faraday Soc., 49, 345–351, 1953. https://doi.org/10.1039/TF953490034510.1039/TF9534900345 ↗
12. B. Gutkin and U. Smilansky. Can one hear the shape of a graph? J. Phys. A. Math. Gen., 34, 6061–6068, 2001. https://doi.org/10.1088/0305-4470/34/31/30110.1088/0305-4470/34/31/301 ↗
13. P. Hlawe. Mathematical analysis of graphene grid structures with defects, M.Sc. Dissertation, University of the Witwatersrand, 2022. https://wiredspace.wits.ac.za/items/59062bdb-0a08-4847-b326-3e1721e23e50
14. Y. Huang, X. Li, H. Cui and Z. Zhou. Bi-layer Graphene: Structure, Properties, Preparation and Prospects, Current Graphene Science, 2, 97–105, 2018. https://doi.org/10.2174/245227320266618103112011510.2174/2452273202666181031120115 ↗
15. O. Hul, S. Bauch, P. Pakoński, N. Savytskyy, K. Życzkowski, L. Sirko. Experimental simulation of quantum graphs by microwave networks, Physical Review E-Statistical, Nonlinear, and Soft Matter Physics, 69(5), 056205, 2004. https://doi.org/10.1103/PhysRevE.69.05620510.1103/PhysRevE.69.056205 ↗
16. P. Kurasov, O. Farooq, M. Ławniczak, S. Bauch, M. Pistol, M. de Courcy-Ireland and L. Sirko. Families of isospectral and isoscattering quantum graphs, Phys. Rev. Research 7(2), L022071, 2025. https://doi.org/10.1103/6yk9-17y310.1103/6yk9-17y3 ↗
17. P. Kurasov and M. Nowaczyk. Inverse spectral problem for quantum graphs J. Phys. A: Math. Gen., 38, 4901–4915, 2005. https://doi.org/10.1088/0305-4470/38/22/01410.1088/0305-4470/38/22/014 ↗
18. M. Manoharan and H. Mizuta. Point defect-induced transport bandgap widening in the downscaled armchair graphene nanoribbon device, Carbon, 64, 416–423, 2013. https://doi.org/10.1016/j.carbon.2013.07.09410.1016/j.carbon.2013.07.094 ↗
19. S. Neuville. Selective Carbon Material Engineering for Improved MEMS and NEMS, Micromachines 10(8), 539, 2019. https://doi.org/10.3390/mi1008053910.3390/mi10080539 ↗
20. I. Shtepliuk and R. Yakimova. Interband transitions in closed-shell vacancy containing graphene quantum dots complexed with heavy metals, Phys. Chem. Chem. Phys., 20, 21528–21543, 2018. https://doi.org/10.1039/C8CP03306D10.1039/C8CP03306D ↗
21. R. H. Telling and M. I. Heggie. Radiation defects in graphite, Philosophical Magazine, 87(31), 4797–4846, 2007. https://doi.org/10.1080/1478643070121002310.1080/14786430701210023 ↗
22. G. Teobaldi, H. Ohnishi, K. Tanimura and A. L. Shluger. The effect of van der Waals interactions on the properties of intrinsic defects in graphite, Carbon, 48(14), 4145–4161, 2010. https://doi.org/10.1016/j.carbon.2010.07.02910.1016/j.carbon.2010.07.029 ↗