Spin-1/2 XXZ Diamond Chain within the Jordan-Wigner Fermionization Approach
T. Verkholyak a, J. Strečka b, M. Jaščur b and J. Richter c
aInstitute for Condensed Matter Physics, NASU, 1 Svientsitskii Str., L'viv-11, 79011, Ukraine
bDepartment of Theoretical Physics and Astrophysics, Institute of Physics, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic
cInstitut für Theoretische Physik, Universität Magdeburg, P.O. Box 4120, Germany
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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.
DOI: 10.12693/APhysPolA.118.978
PACS numbers: 75.10.Jm, 75.10.Pq