| Title: | Random walks and the electronic structure of graphene |
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| Authors: | ID Bašić, Nino (Author)
ID Fowler, Patrick W. (Author)
ID Pickup, Barry T. (Author)
ID Potočnik, Primož (Author) |
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| Files: |  RAZ_Basic_Nino_2026.pdf (4,70 MB)
MD5: E2280B1E6261C11D270C8F3C85EBF5DD
 https://pubs.aip.org/aip/jcp/article/164/10/104103/3382613/Random-walks-and-the-electronic-structure-of
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FAMNIT - Faculty of Mathematics, Science and Information Technologies
IAM - Andrej Marušič Institute
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| Abstract: | Results from the mathematical literature on random walks reveal a closed-form analytical expression for the ▫$\pi$▫-energy and bond number of graphene in the simplest tight-binding model and its Hartree-Fock Hubbard extension. Closed-form expressions follow for all ▫$\pi$▫ spectral moments of graphene. Bond numbers of carbon and boron nitride (BN) zigzag nanotubes are found as finite sums, with graphene and hexagonal boron nitride sheets as asymptotes. |
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| Keywords: | graph theory, random walks, graphene, bond number, tight-binding model, spectral moments, Hubbard model, zigzag nanotubes, hexagonal boron nitride, gamma function |
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| Publication version: | Version of Record |
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| Publication date: | 09.03.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 104103-1-104103-6 |
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| Numbering: | Vol. 164, iss. 10 |
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| PID: | 20.500.12556/RUP-22753  |
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| UDC: | 519.17:54 |
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| ISSN on article: | 0021-9606 |
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| DOI: | 10.1063/5.0319282 |
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| COBISS.SI-ID: | 271072515 |
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| Publication date in RUP: | 10.03.2026 |
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| Views: | 199 |
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| Downloads: | 6 |
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| Metadata: |    |
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