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arXiv:cond-mat/0207279 · The European Physical Journal B

The spin-1/2 anisotropic Heisenberg-chain in longitudinal aaand transversal magnetic fields: a DMRG study

F. Capraro, Claudius Gros

Published Sep 1, 2002• 25 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2002-00259-9

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Magnetic and thermodynamic properties of the anisotropic Heisenberg XXZ spin=1/2 chain under both homogeneous and inhomogeneous magnetic fields are theoretically studied at finite low temperature. To this end, we rigorously study the magnetization, magnetic susceptibility and specific heat of the model in the vicinity of three different magnetic fields including longitudinal, transverse and transverse staggered magnetic fields. The thermodynamic parameters of the model are investigated under two conditions separately: I) when the model is putted in the presence of homogeneous magnetic fields; II) when a finite inhomogeneity is considered for all applied magnetic fields in the Hamiltonian. We show that at low temperature, independent of the chain size, the magnetization curve versus longitudinal field has some plateaus, which convert to their counterpart quasi-plateaus when the transverse magnetic field increases. Moreover, the influence of the transverse and staggered transverse magnetic fields, and their corresponding inhomogeneities on the magnetization, susceptibility, and specific heat is reported in detail. We find that the inhomogeneity has a substantial effect on the thermodynamic parameters of the model under consideration.