Strict site-occupation constraint in 2d Heisenberg models and dynamical mass generation in $QED_3$ at finite temperature

TL;DR

This paper investigates the impact of strict site-occupation constraints on 2D quantum spin systems at finite temperature, revealing how such constraints influence dynamical mass generation in a $QED_3$ framework.

Contribution

It introduces a specific method to enforce single-site occupation in 2D Heisenberg models and analyzes its effects on dynamical mass generation in a $QED_3$ description.

Findings

Strict site-occupation constraints alter dynamical mass generation.

Comparison between exact and average site occupation constraints shows differences.

The study provides insights into the role of site constraints in quantum spin systems.

Abstract

We study the effect of site occupation in 2d quantum spin systems at finite temperature in a $\pi$-flux state description at the mean-field level. We impose each lattice site to be occupied by a single SU(2) spin. This is realized by means of a specific prescription. We consider the low-energy Hamiltonian which is mapped into a $QED_3$ Lagrangian of spinons. We compare the dynamically generated mass to the one obtained by means of an average site occupation constraint.