Quantum-to-classical correspondence in two-dimensional Heisenberg models

TL;DR

This paper investigates the quantum-to-classical correspondence in two-dimensional spin-1/2 Heisenberg models, demonstrating its universality across different models using advanced Monte Carlo simulations.

Contribution

It reveals the existence of quantum-to-classical correspondence in two-parametric 2D Heisenberg models, expanding understanding of this phenomenon's universality.

Findings

QCC exists in multiple 2D Heisenberg models

Static susceptibility matches classical counterparts at different temperatures

QCC holds within sub-percent systematic error

Abstract

The quantum-to-classical correspondence (QCC) in spin models is a puzzling phenomenon where the static susceptibility of a quantum system agrees with its classical-system counterpart, at a different corresponding temperature, within the systematic error at a sub-percent level. We employ the bold diagrammatic Monte Carlo method to explore the universality of QCC by considering three different two-dimensional spin-1/2 Heisenberg models. In particular, we reveal the existence of QCC in two-parametric models.