Low-lying excitations and thermodynamics of an antiferromagnetic Heisenberg fractal system of a dimension between one and two

Details Low-lying excitations and thermodynamics of an antiferromagnetic Heisenberg fractal system of a dimension between one and two Low-lying excitations and thermodynamics of an antiferromagnetic Heisenberg fractal system of a dimension between one and two

1997-10-22

arxiv.org/abs/cond-mat/9710227v1

JMMM 183 (1998) 68-70

Physics

Condensed Matter

Statistical Mechanics

2 pages, LaTeX, 3 eps figures, to appear in JMMM

Scientific paper

10.1016/S0304-8853(97)00280-1

We investigate a frustrated Heisenberg spin-1/2 antiferromagnet on a fractal lattice of dimension d=ln3/ln2 (Sierpinski gasket). Calculations were performed using (a) exact diagonalization of all eigenstates and eigenvectors for systems up to N=15 and (b) the Decoupled-Cell Quantum-Monte-Carlo method for systems up to N=366. We present the low-lying spectrum and the specific heat. The specific heat shows a second maximum in the low-temperature region. This behavior is similar to the behavior of the quantum Heisenberg antiferromagnet on a kagome lattice and suggests a disordered ground state and a spin gap in the considered system.

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