2005arXiv (Cornell University)Open access

A new method for determining dipole-dipole energy in 1D and 2D systems

Ivan Naumov, Huaxiang Fu

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Abstract

An alternative method for computing dipole-dipole interaction energy in systems of 1D and 2D periodicity like nanowires, nanotubes and thin films is presented. The approach is based on the use of periodic Green's functions that satisfy Laplace's equation and are analytically determined. The method, when combined with short-ranged interaction as in effective Hamiltonian, is suitable for studying finite-temperature properties of low-dimensional ferroelectric systems.

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An alternative method for computing dipole-dipole interaction energy in systems of 1D and 2D periodicity like nanowires, nanotubes and thin films is presented. The approach is based on the use of periodic Green's functions that satisfy Laplace's equation and are analytically determined. The method, when combined with short-ranged interaction as in effective Hamiltonian, is suitable for studying finite-temperature properties of low-dimensional ferroelectric systems.

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Available abstract

An alternative method for computing dipole-dipole interaction energy in systems of 1D and 2D periodicity like nanowires, nanotubes and thin films is presented. The approach is based on the use of periodic Green's functions that satisfy Laplace's equation and are analytically determined. The method, when combined with short-ranged interaction as in effective Hamiltonian, is suitable for studying finite-temperature properties of low-dimensional ferroelectric systems.

Key concepts: Dipole, Nanowire, Laplace transform, Ferroelectricity, Hamiltonian (control theory), Condensed matter physics, Energy (signal processing), Interaction energy

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