Quasi-Moessbauer effect in two dimensions

TL;DR

This paper analytically derives the absorption spectrum of nuclei in 2D and 3D crystals, revealing that the Moessbauer effect vanishes in 2D at finite temperature and is replaced by a Quasi-Moessbauer effect, with implications for identifying 2D elastic behavior.

Contribution

It introduces the concept of a Quasi-Moessbauer effect in two-dimensional crystals and provides analytical expressions for absorption spectra at different temperatures.

Findings

Moessbauer effect vanishes in 2D at finite temperature

A new Quasi-Moessbauer effect is identified in 2D

Analytical spectra expressions are derived for 2D and 3D

Abstract

Expressions for the absorption spectrum of a nucleus in a three- and a two-dimensional crystal respectively are obtained analytically at zero and at finite temperature respectively. It is found that for finite temperature in two dimensions the Moessbauer effect vanishes but is replaced by what we call a Quasi-Moessbauer effect. Possibilities to identify two-dimensional elastic behavior are discussed.