Jordan-Wigner approach to the frustrated spin one-half XXZ chain

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dc.creatorVerkholyak, T.
dc.creatorHonecker, A.
dc.creatorBrenig, W.
dc.date2005-05-26
dc.date2006-01-17
dc.date.accessioned2026-07-07T06:37:52Z
dc.date.available2026-07-07T06:37:52Z
dc.descriptionThe Jordan-Wigner transformation is applied to study the ground state properties and dimerization transition in the $J_1-J_2$ $XXZ$ chain. We consider different solutions of the mean-field approximation for the transformed Hamiltonian. Ground state energy and the static structure factor are compared with complementary exact diagonalization and good agreement is found near the limit of the Majumdar-Ghosh model. Furthermore, the ground state phase diagram is discussed within the mean-field theory. In particular, we show that an incommensurate ground state is absent for large $J_2$ in a fully self-consistent mean-field analysis.
dc.descriptionfinal version to appear in Eur. Phys. J. B; 5 pages including 4 figures; some small extensions including additional references
dc.identifierhttps://arxiv.org/abs/cond-mat/0505654
dc.identifierhttp://arxiv.org/abs/cond-mat/0505654
dc.identifierEur. Phys. J. B 49, 283 (2006)
dc.identifierdoi:10.1140/epjb/e2006-00077-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100541
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleJordan-Wigner approach to the frustrated spin one-half XXZ chain
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