Polyhedra as +/-j closed ising lattices
J.F. Valdés, Jaime Cartes, Eugenio E. Vogel · Americanae (AECID Library) · 2000
Isi~~iJttices are dcfincd for regular polyhedra with spin occupying \'cniccs and inlcraclions laying along cdges.Mixed ferromagnctic and antllcrromagnclic ¡n!emetions are considcred.x bcing the conccnlralion 01'the former.Compctilion arnong local llelds brings in fruslralion making non trivial 10 soJvc for physical properties of 5uch latticcs.IIcre.wc charactcrizc the mosl important ground 513tC propcrties of these syslcms sucll as cncrgy.remanen!entropy, average frustralion segment, diluted lallicc (indllding unfruslrated domains), and sile order parmncter.Thc funclional dependcnce on x is eSlablished in each case, comparing among [he 6 dilTerent polyhedra studied here.The role plaiJ hy tnpology through aspects such as shape of faces and coordination number is hroughl out.Wben possible.a comparison wilh similar two-dimensional flal lallices is performed.