Frustración local en la red arquimediana (3,4,6,4)

W. Lebrecht, J.F. Valdés

Abstract


By means of Ising model with mixed interactions $\pm J$ to nearest neighbors and null temperature, is described the behavior of physical and topological parameters of the fundamental level associated to (3,4,6,4) lattices in notation of Grünbaum and Shephard, NL for simplicity. It is used for it, two canonical descriptions determined by distributions of probabilities $\phi$ and $\psi$ that they are established through a local analysis of frustration on a representative cell of the lattice. The results obtained for average energy per bond, average frustration segment and fraction of unfrustrated bonds in both descriptions are compared with numerical simulations based on method of multireplicas of quick descent over a set of 10000 samples randomly generated including periodic boundary conditions. It observes a good agreement between analytical and numerical results, especially at antiferromagnetic and spin glass phases.

Keywords


Frustration; diluted lattices; Ising model

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
Departamento de Física, 2o. Piso, Facultad de Ciencias, UNAM.
Circuito Exterior s/n, Ciudad Universitaria. C. P. 04510 Ciudad de México.
Apartado Postal 70-348, Coyoacán, 04511 Ciudad de México.
Tel/Fax: (52) 55-5622-4946, (52) 55-5622-4840. rmf@ciencias.unam.mx