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Gorbunov VA, Uliankina AI, Akimenko SS, Myshlyavtsev AV. Tensor renormalization group study of orientational ordering in simple models of adsorption monolayers. Phys Rev E 2023; 108:014133. [PMID: 37583228 DOI: 10.1103/physreve.108.014133] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2023] [Accepted: 07/06/2023] [Indexed: 08/17/2023]
Abstract
A simple lattice model of the orientational ordering in organic adsorption layers that considers the directionality of intermolecular interactions is proposed. The symmetry and the number of rotational states of the adsorbed molecule are the main parameters of the model. The model takes into account both the isotropic and directional contributions to the molecule-molecule interaction potential. Using several special cases of this model, we have shown that the tensor renormalization group (TRG) approach can be successfully used for the analysis of orientational ordering in organic adsorption layers with directed intermolecular interactions. Adsorption isotherms, potential energy, and entropy have been calculated for the model adsorption layers differing in the molecule symmetry and the number of rotational states. The calculated thermodynamic characteristics show that entropy effects play a significant role in the self-assembly of dense phases of the molecular layers. All the results obtained with the TRG have been verified by the standard Monte Carlo method. The proposed model reproduces the main features of the phase behavior of the real adsorption layers of benzoic, terephthalic, and trimesic acids on a homogeneous surface of metal single crystals and graphite.
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Affiliation(s)
- V A Gorbunov
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, 11 Mira Avenue, Omsk 644050, Russian Federation
| | - A I Uliankina
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, 11 Mira Avenue, Omsk 644050, Russian Federation
| | - S S Akimenko
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, 11 Mira Avenue, Omsk 644050, Russian Federation
| | - A V Myshlyavtsev
- Department of Chemistry and Chemical Engineering, Omsk State Technical University, 11 Mira Avenue, Omsk 644050, Russian Federation
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Way AJ, Jacobberger RM, Guisinger NP, Saraswat V, Zheng X, Suresh A, Dwyer JH, Gopalan P, Arnold MS. Graphene nanoribbons initiated from molecularly derived seeds. Nat Commun 2022; 13:2992. [PMID: 35637229 PMCID: PMC9151757 DOI: 10.1038/s41467-022-30563-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2021] [Accepted: 05/04/2022] [Indexed: 11/08/2022] Open
Abstract
Semiconducting graphene nanoribbons are promising materials for nanoelectronics but are held back by synthesis challenges. Here we report that molecular-scale carbon seeds can be exploited to initiate the chemical vapor deposition (CVD) synthesis of graphene to generate one-dimensional graphene nanoribbons narrower than 5 nm when coupled with growth phenomena that selectively extend seeds along a single direction. This concept is demonstrated by subliming graphene-like polycyclic aromatic hydrocarbon molecules onto a Ge(001) catalyst surface and then anisotropically evolving size-controlled nanoribbons from the seeds along [Formula: see text] of Ge(001) via CH4 CVD. Armchair nanoribbons with mean normalized standard deviation as small as 11% (3 times smaller than nanoribbons nucleated without seeds), aspect ratio as large as 30, and width as narrow as 2.6 nm (tunable via CH4 exposure time) are realized. Two populations of nanoribbons are compared in field-effect transistors (FETs), with off-current differing by 150 times because of the nanoribbons' different widths.
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Affiliation(s)
- Austin J Way
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Robert M Jacobberger
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Nathan P Guisinger
- Argonne National Laboratory, Center for Nanoscale Materials, Argonne, IL, 60439, USA
| | - Vivek Saraswat
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Xiaoqi Zheng
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Anjali Suresh
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Jonathan H Dwyer
- Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Padma Gopalan
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA
| | - Michael S Arnold
- Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA.
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