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Author Axenovich, Maria ♦ Luban, Marshall
Sponsorship (US)
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Publisher The American Physical Society
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ CONSTRUCTION ♦ CRITICAL FIELD ♦ GROUND STATES ♦ HEISENBERG MODEL ♦ MAGNETIC FIELDS ♦ MAGNETIC MOMENTS ♦ MAGNETIC PROPERTIES
Abstract We find the exact ground state energy and magnetic moment for an arbitrary magnetic field H of the classical Heisenberg model of spins on the vertices of an icosidodecahedron. This model provides an accurate description of the magnetic properties of the giant paramagnetic molecule {l_brace}Mo{sub 72}Fe{sub 30}{r_brace} in which 30 Fe{sup 3+} ions are coupled via antiferromagnetic exchange. The strong frustration of the magnetic interaction in the molecule is relaxed when the angle between nearest-neighbor spins is 120{sup o}. We predict that the magnetic moment is linear with H until saturating at a critical field H{sub c}, and this is consistent with the results of a recent experiment at 0.46 K. We derive our results using a graph-theoretical construction and a special property, three-colorability, of the icosidodecahedron. We also consider spins on the vertices of an octahedron, icosahedron, and dodecahedron.
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 2001-03-01
Publisher Place United States
Journal Physical Review B
Volume Number 63
Issue Number 10


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