# Magnetic Catalysis in Antiferromagnetic Films

## TL;DR

This paper investigates how magnetic fields influence antiferromagnetic films at low temperatures, revealing that magnetic fields can enhance staggered magnetization, a phenomenon known as magnetic catalysis, through a systematic effective Lagrangian approach.

## Contribution

It provides a two-loop order analysis of antiferromagnets under perpendicular magnetic fields, demonstrating magnetic catalysis in two-dimensional antiferromagnetic films.

## Key findings

- Magnetic field enhances staggered magnetization at zero temperature.
- Derived low-temperature series for thermodynamic quantities.
- Confirmed magnetic catalysis phenomenon in antiferromagnetic films.

## Abstract

We study the low-temperature behavior of antiferromagnets in two spatial dimensions that are subjected to a magnetic field oriented perpendicular to the staggered magnetization order parameter. The evaluation of the partition function is carried to two-loop order within the systematic effective Lagrangian technique. Low-temperature series that are valid in weak magnetic and staggered fields are derived for the pressure, staggered magnetization, and magnetization. Remarkably, at $T$=0, the staggered magnetization is enhanced by the magnetic field, implying that the phenomenon of magnetic catalysis also emerges in antiferromagnetic films.