Charge-dipole and dipole-dipole interactions in two-dimensional materials

TL;DR

This paper derives explicit formulas for charge-dipole and dipole-dipole interactions in two-dimensional materials, showing how dimensionality affects these interactions and their asymptotic behavior compared to three-dimensional cases.

Contribution

It provides the first explicit analytical expressions for these interactions in 2D, highlighting the effects of reduced dimensionality on electrostatic interactions.

Findings

Interactions differ from 3D at short distances

Asymptotic behavior matches 3D interactions at large distances

Dimensionality reduction influences electrostatic interaction forms

Abstract

We derive the explicit analytical form for the charge-dipole and dipole-dipole interactions in 2D configuration space. We demonstrate that the reduction of dimensionality can alter the charge-dipole and dipole-dipole interactions in 2D case. The asymptotics of these interactions at large distances coincide to the charge-dipole and dipole-dipole interactions in 3D configuration space.