Magnetic properties of small clusters as function of the geometry
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The magnetic properties of the ground state of one- and two-dimensional small clusters (Na=16 sites) are studied solving exactly the Heisenberg Hamiltonian. We are interested in studying the magnetic behavior as a function of the lattice geometry. The total spin S shows an interesting behavior as a function of the ferromagnetic (antiferromagnetic) exchange interaction J1 > 0 (J2 < 0). Ferromagnetism is found to be stable for J2/J1 ≃ 0 - 0.4. © 2003 Published by Elsevier B.V.
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Heisenberg Hamiltonian; Small cluster; Total spin S Antiferromagnetism; Approximation theory; Boundary conditions; Functions; Geometry; Hamiltonians; Magnetization; Polarization; Problem solving; Quantum theory; Next-nearest-neighbors (NNN); Periodic boundary conditions; Small cluster; Total spin S; Ferromagnetism
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