Abstract
New types of spatially non-uniform excitations in icosahedral quasicrystalline lattices — solitons and coreless defects — are studied by the projection and topology techniques. The topological charges of particle-like solitons are revealed, each represents the set (z 1,z 2) of integers. The coreless defects are found to be topologically unstable excitations.
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Gratias, D.: Contemp. Phys.28, 219 (1987)
Ronchetti, M.: Philos. Mag. B56, 237 (1987)
Janssen, T.: Phys. Rep.168, 55 (1988)
Janot, Ch., Dubois, J.M.: J. Phys. F18, 2303 (1988)
Levine, D., Lubensky, T.C., Ostlund, S., Ramaswamy, S., Steinhardt, P.J.: Phys. Rev. Lett.54, 1520 (1985)
Socolar, J.E.S., Lubensky, T.C., Steinhardt, P.J.: Phys. Rev. B34, 3345 (1986)
Lubensky, T.C., Ramaswamy, S., Toner, J.: Phys. Rev. B33, 7715 (1986)
Kleman, M., Gefen, Y., Pavlovitch, A.: Europhys. Lett.1, 61 (1986)
Ovid'ko, I.A.: Fiz. Tverd. Tela29, 2137 (1987)
Boshung, J., Trebin, H-R.: Phys. Rev. Lett.58, 2277 (1987)
De, P., Pelcovits, R.A.: Phys. Rev. B36, 9304 (1987)
De, P., Pelcovits, R.A.: Phys. Rev. B38, 5042 (1988)
Kalugin, P.A., Kytayev, A. Yu., Levitov, L.S.: Pisma Zh. Exp. Teor. Fiz.41, 119 (1985)
Kalugin, P.A., Kitayev, A.Yu., Levitov, L.S.: J. Phys. (Paris) Lett.46, 601 (1985)
Duneau, M., Katz, A.: Phys. Rev. Lett.54, 2688 (1985)
Duneau, M., Katz, A.: J. Phys. (Paris)47, 181 (1986)
Elser, V.: Phys. Rev. B32, 4892 (1985)
Mermin, N.D.: Rev. Mod. Phys.51, 591 (1979)
Michel, L.: Rev. Mod. Phys.52, 617 (1980)
Mineev, V.P.: Solv. Sci. Rev. A2, 173 (1980)
Trebin, H.-R.: Adv. Phys.31, 195 (1982)
Ovid'ko, I.A., Romanov, A.E.: Phys. Status Solidi (a)104, 13 (1987)
Dubrovin, B.A., Novikov, S.P., Fomenko, A.T.: Modern Geometry. Moscow: Nauka 1979 (in Russian)
Spanier, E.H.: Algebraic topology. New York: McGraw-Hill, 1966
Ovid'ko, I.A., Romanov, A.E.: Commun. Math. Phys.105, 443 (1986)
Ovid'ko, I.A.: Zh. Exp. Teor. Fiz.91, 1427 (1986)
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Ovid'ko, I.A. Solitons and coreless defects in icosahedral quasicrystals. Z. Physik B - Condensed Matter 77, 409–412 (1989). https://doi.org/10.1007/BF01453790
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DOI: https://doi.org/10.1007/BF01453790