Abstract
The energy spectrum of fullerene C70 is calculated within the Hubbard model in the mean-field approximation. Using group-theory methods, irreducible representations are determined that correspond to the energy states, as well as allowed transitions in the energy spectrum of fullerene C70. On the basis of this spectrum, an interpretation of experimentally observed optical absorption bands of fullerene C70 is proposed.
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H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, and R. E. Smalley, Nature 318, 162 (1985).
D. R. McKenzie, C. A. Davis, D. J. H. Cockayne, D. A. Muller, and A. M. Vassallo, Nature 355, 622 (1992).
P. W. Fowler, Contemp. Phys. 37, 235 (1996).
H. W. Kroto, Nature 329, 529 (1987).
E. Huckel, Z. Phys. 69, 423 (1930).
V. I. Minkin, B. Ya. Simkin, and P. M. Minyaev, The Theory of Molecule Structure (Feniks, Rostov-on-Don, 1997) [in Russian].
A. A. Levin, Introduction to Solid State Quantum Chemistry (Khimiya, Moscow, 1974) [in Russian].
R. A. Harris and L. M. Falicov, J. Chem. Phys. 51, 5034 (1969).
T. O. Wehling, E. Sasioglu, C. Friedrich, A. I. Lichtenstein, M. I. Katsnelson, and S. Blugel, Phys. Rev. Lett. 106, 236805 (2011).
S. Chakravarty, M. Gelfand, and S. Kivelson, Science 254, 970 (1991).
R. O. Zaitsev, JETP Lett. 95, 380 (2012).
J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
D. I. Khomskii, Fiz. Met. Metalloved. 29, 31 (1970).
Yu. A. Izyumov, M. I. Katsnel’son, and Yu. N. Skryabin, Magnetism of Collectivized Electrons (Nauka, Moscow, 1994) [in Russian].
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, No. 1, 168 (2015).
A. B. Harris and R. V. Lange, Phys. Rev. 157, 295 (1967).
A. V. Silant’ev, Russ. Phys. J. 56, 192 (2013).
P. G. J. van Dongen, Phys. Rev. Lett. 67, 757 (1991).
A. V. Silant’ev, Russ. Phys. J. 57, 1491 (2014).
M. Kohno, Phys. Rev. B 55, 1435 (1997).
A. M. Oles, Phys. Rev. B 28, 327 (1983).
G. S. Ivanchenko and N. G. Lebedev, Phys. Solid State 49, 189 (2007).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, No. 1, 101 (2016).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, No. 3, 103 (2016).
A. V. Silant’ev, Phys. Met. Metallogr. 118, 1 (2017).
S. V. Tyablikov, Methods of Magnetism Quantum Theory (Nauka, Moscow, 1975) [in Russian].
M. Bühl and A. Hirsch, Chem. Rev. 101, 1153 (2001).
K. Nakao, N. Kurita, and M. Fujita, Phys. Rev. B 49, 11415 (1994).
K. Hedberg, L. Hedberg, M. Buhl, D. S. Bethune, C. A. Brown, and R. D. Johnson, J. Am. Chem. Soc. 119, 5314 (1997).
M. S. Dresselhaus, G. Dresselhaus, and P. C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic, San Diego, 1996).
I. G. Kaplan, Symmetry of Many-Electron Systems (Nauka, Moscow, 1969; Academic, New York, 2013).
P. F. Coheur, M. Carleer, and R. Colin, J. Phys. B: At., Mol. Opt. Phys. 29, 4987 (1996).
J. P. Hare, H. W. Kroto, and R. Taylor, Chem. Phys. Lett. 177, 394 (1991).
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Original Russian Text © A.V. Silant’ev, 2018, published in Optika i Spektroskopiya, 2018, Vol. 124, No. 2, pp. 159–166.
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Silant’ev, A.V. The Energy Spectrum and Optical Properties of Fullerene C70 within the Hubbard Model. Opt. Spectrosc. 124, 155–162 (2018). https://doi.org/10.1134/S0030400X18020157
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DOI: https://doi.org/10.1134/S0030400X18020157