Quantum Ferrimagnets

dc.creatorAbolfath, M.
dc.creatorHamidian, H.
dc.creatorLangari, A.
dc.date1999-01-08
dc.date1999-04-23
dc.date.accessioned2026-07-07T03:12:35Z
dc.date.available2026-07-07T03:12:35Z
dc.descriptionWe study quantum ferrimagnets in one, two, and three dimensions by using a variety of methods and approximations. These include: (i) a treatment based on the spin coherent state path-integral formulation of quantum ferrimagnets by taking into account the leading order quantum and thermal fluctuations (ii) a field-theoretical (non-linear $σ$-model type) formulation of the special case of one-dimensional quantum ferrimagnets at zero temperature (iii) an effective description in terms of dimers and quantum rotors, and (iv) a quantum renormalization group study of ferrimagnetic Heisenberg chains. Some of the formalism discussed here can be used for a unified treatment of both ferromagnets and antiferromagnets in the semiclassical limit. We show that the low (high) energy effective Hamiltonian of a (S_1, S_2) Heisenberg ferrimagnet is a ferromagnetic (antiferromagnetic) Heisenberg model. We also study the phase diagram of quantum ferrimagnets in the presence of an external magnetic field h ($h_{c1} < h < h_{c2}$) and show that the low- and the high-field phases correspond respectively to the classical Néel and the fully polarized ferromagnetic states. We also calculate the transition temperature for the Berezinskii-Kosterlitz-Thouless phase transition in the special case of two-dimensional quantum ferrimagnets.
dc.description13 pages and 4 figures, Submitted to Phys. Rev. B, and corrected some typos
dc.identifierhttps://arxiv.org/abs/cond-mat/9901063
dc.identifierhttp://arxiv.org/abs/cond-mat/9901063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28960
dc.subjectCondensed Matter
dc.titleQuantum Ferrimagnets
dc.typetext

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