Disordered and ordered states of exactly solvable Ising-Heisenberg planar models with a spatial anisotropy

Physics – Condensed Matter – Disordered Systems and Neural Networks

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6 pages, 4 figures, Presented at 15-th Conference of Czech and Slovak Physicist, Kosice, Slovakia, September 5-8, 2005

Scientific paper

Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin systems exhibit an interesting quantum behaviour manifested in a remarkable geometric spin frustration, which appears notwithstanding the purely ferromagnetic interactions of the considered model systems. This kind of spin frustration originates from an easy-plane anisotropy in the XXZ Heisenberg interaction between nearest-neighbouring spins that favours ferromagnetic ordering of their transverse components, whereas their longitudinal components are aligned antiferomagnetically.

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