Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions

TL;DR

This paper presents an exact solution for a two-chain magnetic model with four-body interactions, revealing its phase diagram, partial magnetization, and novel correlation functions, advancing understanding of complex quantum spin systems.

Contribution

It introduces an exactly solvable two-chain model with four-body interactions and analyzes its phase diagram and correlation functions, a novel extension in quantum spin chain research.

Findings

The model's phase diagram is fully characterized.

The ground state exhibits partial magnetization.

A new twisted four-body correlation function is derived.

Abstract

An exact solution for an XXZ chain with four-body interactions is obtained and its phase diagram is determined. The model can be reduced to two chains coupled by four-body interactions, and it is shown that the ground state of the two-chain model is magnetized in part. Furthermore, a twisted four-body correlation function of the anti-ferromagnetic Heisenberg chain is obtained.