2000Journal of Physics Condensed MatterOpen access

Intrinsic localized modes in the one-dimensional zinc-blende structure: two-body potential versus anharmonic force constant model

A. Franchini, V. Bortolani, R. F. Wallis

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Abstract

In this paper we examine the existence of anharmonic localized modes using a full two-body potential to describe all interactions between particles in a zinc-blende-structure material, and we make a comparison with the results obtained with a nearest-neighbour force constant model that includes interactions up to quartic anharmonicity. We show that for amplitude up to a maximum displacement of the order of 0.25 Å there are no appreciable differences between the two approaches, while for the largest amplitudes the force constant model gives unphysical results.

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In this paper we examine the existence of anharmonic localized modes using a full two-body potential to describe all interactions between particles in a zinc-blende-structure material, and we make a comparison with the results obtained with a nearest-neighbour force constant model that includes interactions up to quartic anharmonicity. We show that for amplitude up to a maximum displacement of the order of 0.25 Å there are no appreciable differences between the two approaches, while for the largest amplitudes the force constant model gives unphysical results.

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Available abstract

In this paper we examine the existence of anharmonic localized modes using a full two-body potential to describe all interactions between particles in a zinc-blende-structure material, and we make a comparison with the results obtained with a nearest-neighbour force constant model that includes interactions up to quartic anharmonicity. We show that for amplitude up to a maximum displacement of the order of 0.25 Å there are no appreciable differences between the two approaches, while for the largest amplitudes the force constant model gives unphysical results.

Key concepts: Anharmonicity, Quartic function, Constant (computer programming), Amplitude, Displacement (psychology), Physics, Force constant, Condensed matter physics

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