Frustración en redes arquimedianas antiferromagnéticas

W. Lebrecht, J. F

Abstract


This paper tackles the problem of studying anatically the phenomena associated to magnetic frustations for different Archimedean lattices with periodic boundary conditions, all of them in the antiferromagnetic phase. A lattice formed by N spins is considered and modeled through $\pm J$ Ising model. Antiferrogmagnetic phase is restricted to $+J$ interactions between two near-nearest neighbor spin sites. Topological parameters such as frustrated plaquettes, frustration length and energy associated to the ground level at T=0 are reported. The relative position of a triangular interaction for each lattice is as much or more important than the coordination number for the same lattice.

Keywords


Archimedean lattices; frustration; plaquettes

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REVISTA MEXICANA DE FÍSICA, year 67, issue 1, January-February 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, January 4, 2021.

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