A New Approach to the Spin 1/2 Quantum Heisenberg Model

TL;DR

This paper introduces a novel evolution equation for expectation values in the spin 1/2 quantum Heisenberg model, providing a new approximation scheme to analyze its thermodynamical and magnetic properties.

Contribution

It derives a comprehensive evolution equation and proposes a new approximation method for the spin 1/2 quantum Heisenberg model, advancing theoretical understanding.

Findings

The evolution equation encapsulates the model's thermodynamical and magnetic properties.

The new approximation scheme is effective in the thermodynamical limit.

Results offer insights into the model's behavior under various conditions.

Abstract

An evolution equation for the expectation values of the Boltzmann factor between monomer valence bond states is derived. It contains the whole information on the thermodynamical and magnetic properties of the spin $\frac{1}{2}$ quantum Heisenberg model. A new approximation scheme is proposed and studied in the thermodynamical limit.