Spin-1/2 XXZ diamond chain within the Jordan-Wigner fermionization approach
Taras Verkholyak, Jozef Strecka, Michal Jascur, Johannes Richter
TL;DR
This paper applies Jordan-Wigner fermionization and Hartree-Fock approximation to analyze the ground-state magnetization of the spin-1/2 XXZ diamond chain, comparing results with exact methods to assess approximation validity.
Contribution
It introduces a fermionization approach combined with Hartree-Fock approximation for the XXZ diamond chain, providing a new way to study its ground-state properties.
Findings
Ground-state magnetization curves obtained
Results agree with exact diagonalization for some cases
Approximation validity analyzed
Abstract
The spin-1/2 XXZ diamond chain is considered within the Jordan-Wigner fermionization. The fermionized Hamiltonian contains the interacting terms which are treated within the Hartree-Fock approximation. We obtain the ground-state magnetization curve of the model for some particular cases and compare the results with the exact diagonalization data for finite chains of 30 spins and known exact results. We also analyze the validity of the suggested approximation.
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