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Low-lying excitations and thermodynamics of an antiferromagnetic Heisenberg fractal system of a dimension between one and two | | A. Voigt
; J. Richter
; P. Tomczak
; | | Date: |
22 Oct 1997 | | Journal: | JMMM 183 (1998) 68-70 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | Magdeburg University, Germany; Poznan University, Poland | | Abstract: | 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. | | Source: | arXiv, cond-mat/9710227 | | Services: | Forum | Review | PDF | Favorites | |
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