In this paper we will review recents results relative to localized modes induced by anharmonicity in one-dimensional lattices. We will show that localized modes exists in monoatomic chains with and without a local inhomogeneity in the anharmonic force field. We will compare the discrete and the quasicontinuum intrinsic even and odd localized solutions. This analysis is carried out by taking into account harmonic and quartic anharmonic interactions. We will also present results for the diatomic chains showing the presence of surface modes ad gap modes related to the maximum of the acoustic band. In this analysis will be also studied the effect of the cubic anharmonicity. One of the major effetcs of the cubic anharmonicity is to produce gap modes that split off from the bottom of the optical branch.

Intrinsic localized modes in the bulk and at the surface of anharmonic chains / Bortolani, Virginio; Franchini, Anna; Wallis, R. F.. - STAMPA. - (1998), pp. 263-274. ((Intervento presentato al convegno Current problems in condensed matter: Theory and Experiment tenutosi a Cocoyoc, Morelos (Messico) nel 05 gennaio - 09 gennaio 1997.

Intrinsic localized modes in the bulk and at the surface of anharmonic chains

BORTOLANI, Virginio;FRANCHINI, Anna;
1998

Abstract

In this paper we will review recents results relative to localized modes induced by anharmonicity in one-dimensional lattices. We will show that localized modes exists in monoatomic chains with and without a local inhomogeneity in the anharmonic force field. We will compare the discrete and the quasicontinuum intrinsic even and odd localized solutions. This analysis is carried out by taking into account harmonic and quartic anharmonic interactions. We will also present results for the diatomic chains showing the presence of surface modes ad gap modes related to the maximum of the acoustic band. In this analysis will be also studied the effect of the cubic anharmonicity. One of the major effetcs of the cubic anharmonicity is to produce gap modes that split off from the bottom of the optical branch.
Current problems in condensed matter: Theory and Experiment
Cocoyoc, Morelos (Messico)
05 gennaio - 09 gennaio 1997
263
274
Bortolani, Virginio; Franchini, Anna; Wallis, R. F.
Intrinsic localized modes in the bulk and at the surface of anharmonic chains / Bortolani, Virginio; Franchini, Anna; Wallis, R. F.. - STAMPA. - (1998), pp. 263-274. ((Intervento presentato al convegno Current problems in condensed matter: Theory and Experiment tenutosi a Cocoyoc, Morelos (Messico) nel 05 gennaio - 09 gennaio 1997.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/464851
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