# Thermodynamics of Antiferromagnetic Solids in Magnetic Fields

## TL;DR

This paper investigates the thermodynamic behavior of antiferromagnetic solids under combined magnetic fields, providing detailed low-temperature series and analyzing spin-wave interactions to understand their effects on observable properties.

## Contribution

It introduces a two-loop order effective expansion for thermodynamic quantities and evaluates magnon self-energy and dispersion relations in antiferromagnetic solids.

## Key findings

- Derived low-temperature series for pressure, order parameter, and magnetization.
- Analyzed the impact of spin-wave interactions on thermodynamic observables.
- Evaluated magnon self-energy and dispersion relations.

## Abstract

We analyze the thermodynamic properties of antiferromagnetic solids subjected to a combination of mutually orthogonal uniform magnetic and staggered fields. Low-temperature series for the pressure, order parameter and magnetization up to two-loop order in the effective expansion are established. We evaluate the self-energy and the dispersion relation of the dressed magnons in order to discuss the impact of spin-wave interactions on thermodynamic observables.