# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### Time correlation functions of three classical Heisenberg spins on an isosceles triangle and on a chain

##### MPS-Authors

There are no MPG-Authors available

##### External Resource

No external resources are shared

##### Fulltext (public)

There are no public fulltexts stored in PuRe

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Ameduri, M., & Klemm, R. (2002). Time correlation functions of three classical
Heisenberg spins on an isosceles triangle and on a chain.* PHYSICAL REVIEW B,* *66*(22):
224404. doi:10.1103/PhysRevB.66.224404.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002C-5B07-E

##### Abstract

At an 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-->infinity, 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 triangle with J(1)=J(2). At low T, the Fourier transforms of the two autocorrelation functions with J(1)not equalJ(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 an interesting scaling form.