Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-08-13
Phys. Rev. B 66, 224404 (2002).
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 14 figures, accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.66.224404
At arbitrary temperature $T$, we solve for the dynamics of single molecule magnets composed of three classical Heisenberg spins either on a chain with two equal exchange constants $J_1$, or on an isosceles triangle with a third, different exchange constant $J_2$. As $T\rightrarrow\infty$, the Fourier transforms and long-time asymptotic behaviors of the two-spin time correlation functions are evaluated exactly. The lack of translational symmetry on a chain or an isosceles triangle yields time correlation functions that differ strikingly from those on an equilateral trinagle with $J_1=J_2$. At low $T$, the Fourier transforms of the two autocorrelation functions with $J_1\ne J_2$ show one and four modes, respectively. For a semi-infinite $J_2/J_1$ range, one mode is a central peak. At the origin of this range, this mode has a novel scaling form.
Ameduri Marco
Klemm Richard A.
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