Thermodynamics of layered Heisenberg magnets with arbitrary spin

Details Thermodynamics of layered Heisenberg magnets with arbitrary spin Thermodynamics of layered Heisenberg magnets with arbitrary spin

2009-03-06

arxiv.org/abs/0903.1282v1

Phys. Rev. B 80, 064425 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 8 figures, 3 tables, submitted to Physical Review B

Scientific paper

10.1103/PhysRevB.80.064425

We present a spin-rotation-invariant Green-function theory of long- and short-range order in the ferro- and antiferromagnetic Heisenberg model with arbitrary spin quantum number S on a stacked square lattice. The thermodynamic quantities (Curie temperature T_C, N\'eel temperature T_N, specific heat C_V, intralayer and interlayer correlation lengths) are calculated, where the effects of the interlayer coupling and the S dependence are explored. In addition, exact diagonalizations on finite two-dimensional (2D) lattices with S>=1 are performed, and a very good agreement between the results of both approaches is found. For the quasi-2D and isotropic 3D magnets, our theory agrees well with available quantum Monte Carlo and high-temperature series-expansion data. Comparing the quasi-2D S=1/2 magnets, we obtain the inequalities T_N>T_C and, for small enough interlayer couplings, T_N

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