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

TL;DR

This paper introduces an analytical Green's function-based method for calculating dipole-dipole energies in 1D and 2D systems, facilitating studies of low-dimensional ferroelectric materials at finite temperatures.

Contribution

The paper presents a novel analytical approach using Green's functions for dipole energy calculations in low-dimensional systems, improving accuracy and applicability.

Findings

Effective for nanowires, nanotubes, and thin films.

Compatible with effective Hamiltonian models.

Enables finite-temperature property analysis.

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.