Antiferromagnets at low Temperatures
Christoph P. Hofmann
TL;DR
This paper investigates the low-temperature behavior of 2+1 dimensional Heisenberg antiferromagnets using effective field theory, revealing weak, repulsive magnon interactions and comparing series structures across dimensions.
Contribution
It demonstrates the effectiveness of systematic effective field theory over traditional methods in analyzing low-temperature properties of antiferromagnets.
Findings
Magnon-magnon interaction is weak and repulsive.
Pressure includes a term proportional to five powers of temperature.
Effective field theory surpasses spin-wave theory in analysis.
Abstract
The low-temperature properties of the Heisenberg antiferromagnet in 2+1 space-time dimensions are analyzed within the framework of effective Lagrangians. It is shown that the magnon-magnon interaction is very weak and repulsive, manifesting itself through a term proportional to five powers of the temperature in the pressure. The structure of the low-temperature series for antiferromagnets in 2+1 dimensions is compared with the structure of the analogous series for antiferromagnets in 3+1 dimensions. The model-independent and systematic effective field theory approach clearly proves to be superior to conventional condensed matter methods such as spin-wave theory.
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