Control of soliton lattices of Hubbard electrons in carbon nanotubes by a magnetic field. (English. Russian original) Zbl 1177.82140
Bull. Russ. Acad. Sci., Phys. 72, No. 12, 1614-1616 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Fiz. 72, No. 12, 1708-1710 (2008).
Summary: On the basis of the Hubbard model for electrons in the conduction band of carbon nanotubes, the numerical solutions describing soliton lattices are obtained, and the possibility of controlling the lattice parameters using a dc magnetic field is established.
MSC:
| 82D80 | Statistical mechanics of nanostructures and nanoparticles |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 37K60 | Lattice dynamics; integrable lattice equations |
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
| 37N35 | Dynamical systems in control |
References:
| [1] | Iijima, S., Nature, 1991, vol. 354, p. 56. · doi:10.1038/354056a0 |
| [2] | Kosakovskaya, Z.Ya., Chernozatonskii, L.A., and Fedorov, E.A., Pis’ma Zh. Eksp. Teor. Fiz., 1992, vol. 56, p. 26 [JETP Lett. (Engl. Transl.), vol. 56, p. 26]. |
| [3] | Dresselhaus M.S., Dresselhaus G., and Eklund P.C. Science of Fullerenes and Carbon Nanotubes, New York: Academic, 1996. |
| [4] | Ivanovskii, A.L., Kvantovaya khimiya v materialovedenii. Nanotubulyarnye formy veshchestva (Quantum Chemistry in Materials Science. Nanotubular Materials), Ekaterinburg: Izd-vo UrORAN, 1999. |
| [5] | Astakhova, T.Yu., Gurin, O.D., Menon, M., and Vinogradov, G.A., Phys. Rev. B: Condens. Matter Mater. Phys., 2001, vol. 64, 035 418. |
| [6] | Izyumov, Yu.A., Katsnel’son, M.I., and Skryabin, Yu.N., Magnetizm kollektivizirovannykh elektronov (Magnetism of Collective Electrons), Moscow: Fizmatlit, 1994. |
| [7] | Fedyanin, V.K. and Machankov, V.G., Phys. Rep., 1984, vol. 54, p. 1. |
| [8] | Sakhnenko, V.P. and Chechin, G.M., Dokl. Akad. Nauk, 1993, vol. 330, p. 308 [Dokl. Phys. (Engl. Transl.), vol. 38, p. 219]. |
| [9] | Belonenko, M.B., Demushkina, E.V., and Lebedev, N.G., Khim. Fiz., 2006, vol. 25, no. 6, p. 75. |
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