Phase diagram of a coupled tetrahedral Heisenberg model

TL;DR

This paper explores the phase diagram of a coupled tetrahedral Heisenberg model, revealing a complex landscape with multiple magnetic phases and exact solutions for certain ground states, along with thermodynamic analysis.

Contribution

It provides a detailed phase diagram of the coupled tetrahedral Heisenberg model and identifies cases with exactly solvable ground states.

Findings

Rich phase diagram with infinite magnetic phases

Exact ground state solutions in some cases

Thermodynamic properties analyzed at low temperatures

Abstract

The phase diagram of a coupled tetrahedral Heisenberg model is obtained. The quantum chain has a local gauge symmetry and its eigenspectrum is obtained by the composition of the eigenspectra of spin-1/2 XXZ chains with arbitrary distribution of spin-3/2 impurities. The phase diagram is quite rich with an infinite number of phases with ferromagnetic, antiferromagnetic or ferrimagnetic order. In some cases the ground state and the low lying eigenlevels of the model can be exactly calculated since they coincide with the eigenlevels of the exactly integrable XXZ chain. The thermodynamical properties of the model at low temperatures is also studied through finite-size analysis.