Universal low-temperature properties of quantum and classical ferromagnetic chains

TL;DR

This paper uncovers a universal critical theory for low-temperature behaviors in quantum and classical ferromagnetic chains, revealing that a single rotor quantum mechanics governs their macroscopic properties.

Contribution

It introduces a unified theoretical framework based on a single rotor quantum mechanics for understanding ferromagnetic chains at low temperatures.

Findings

Mapping to single rotor quantum mechanics enables precise computation of scaling functions.

The theory applies to both quantum and classical ferromagnetic chains.

Provides a new efficient method for analyzing low-temperature properties.

Abstract

We identify the critical theory controlling the universal, low temperature, macroscopic properties of both quantum and classical ferromagnetic chains. The theory is the quantum mechanics of a single rotor. The mapping leads to an efficient method for computing scaling functions to high accuracy.