Abstract
Anticommutator Green’s functions and energy spectra of the C28 fullerene and the endohedral Zr@C28 fullerene with the symmetry group Td are obtained within the Hubbard model in the approximation of static fluctuations. Using the methods of group theory, the classification of energy states is carried out, and the allowed transitions in the energy spectra of C28 and Zr@C28 molecules are determined.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
REFERENCES
M. S. Dresselhaus, G. Dresselhaus, and P. C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic, San Diego, 1996).
A. Hirsch and M. Brettreich, Fullerenes: Chemistry and Reactions (Wiley-VCH, Weinheim, 2005).
T. Guo, M. D. Diener, Y. Chai, M. J. Alford, R. E. Haufler, S. M. McClure, T. Ohno, J. H. Weaver, G. E. Scuseria, and R. E. Smalley, Science (Washington, DC, U. S.) 257, 1661 (1993).
A. N. Enyashin, V. V. Ivanovskaya, Yu. N. Makurin, and A. L. Ivanovskii, Phys. Solid State 46, 1569 (2004).
A. N. Enyashin and A. L. Ivanovskii, JETP Lett. 86, 537 (2007).
P. W. Dunk, N. K. Kaiser, M. Mulet-Gas, A. Rodríguez-Fortea, J. M. Poblet, H. Shinohara, C. L. Hendrickson, A. G. Marshall, and H. W. Kroto, J. Am. Chem. Soc. 134, 9380 (2012).
A. Miralrio and L. E. Sansores, J. Comput. Theor. Chem. 1083, 53 (2016).
A. Gomez-Torres, R. Esper, P. W. Dunk, R. Molares-Martínez, A. Rodríguez-Fortea, L. Echegoyen, and J. M. Poblet, Helv. Chim. Acta 46, 1 (2019).
P. W. Fowler and D. E. Manolopoulous, An Atlas of Fullerenes (Clarendon, Oxford, 1995).
R. K. Mishra, Y.-T. Lin, and S.-L. Lee, Chem. Phys. Lett. 313, 437 (1999).
A. V. Silant’ev, J. Exp. Theor. Phys. 121, 653 (2015).
G. S. Ivanchenko and N. G. Lebedev, Phys. Solid State 49, 189 (2007).
A. V. Silant’ev, Russ. Phys. J. 60, 978 (2017).
A. V. Silant’ev, Phys. Solid State 61, 263 (2019).
A. V. Silant’ev, Phys. Solid State 62, 542 (2020).
A. V. Silant’ev, Russ. Phys. J. 62, 925 (2019).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, No. 2, 164 (2015).
A. V. Silant’ev, Russ. Phys. J. 57, 1491 (2015).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, No. 1, 168 (2015).
A. V. Silant’ev, Russ. Phys. J. 56, 192 (2013).
G. I. Mironov and A. I. Murzashev, Phys. Solid State 53, 2393 (2011).
B. V. Lobanov and A. I. Murzashev, Phys. Solid State 59, 423 (2017).
J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
E. Menendez-Proupin, A. Delgado, A. L. Montero-Alejo, and J. M. Garcia de la Vega, Chem. Phys. Lett. 593, 72 (2014).
J. P. Hare, H. W. Kroto, and R. Taylor, Chem. Phys. Lett. 177, 394 (1991).
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Nauka, Moscow, 1975; Plenum Press, New York, 1967).
I. G. Kaplan, Symmetry of Many-Electron Systems (Nauka, Moscow, 1969; Academic, New York, 1975).
R. A. Harris and L. M. Falicov, J. Chem. Phys. 51, 5034 (1969).
I. F. Torrente, K. J. Franke, and J. I. Pascual, J. Phys.: Condens. Matter 20, 184001 (2008).
S. G. Ovchinnikov and V. V. Val’kov, Hubbard Operators in the Theory of Strongly Correlated Electrons (Imperial College Press, San Diego, 2004).
A. V. Eletskii, Phys. Usp. 43, 111 (2000).
M. Hamermesh, Group Theory and Its Application to Physical Problems (Dover, New York, 1989).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by N. Petrov
Rights and permissions
About this article
Cite this article
Silant’ev, A.V. Energy Spectrum and Optical Absorption Spectrum of Fullerene C28 within the Hubbard Model. Phys. Solid State 62, 2208–2216 (2020). https://doi.org/10.1134/S1063783420110335
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783420110335