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Diluted antiferromagnet in a ferromagnetic environment

M O Hase and J F F Mendes

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The question of robustness of a network under random 'attacks' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic interactions is investigated. After examining the static properties of the quenched version (in respect of the random antiferromagnetic interactions) of the model, the persistence of the magnetization is also analysed in the annealed approximation, and the difference in the results are discussed.


PACS

75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects

75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)

75.40.Cx Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)

75.50.Ee Antiferromagnetics

75.10.Hk Classical spin models

75.50.Lk Spin glasses and other random magnets

MSC

82B27 Critical phenomena

82D30 Random media, disordered materials (including liquid crystals and spin glasses)

82B30 Statistical thermodynamics (See also 80-XX)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82D40 Magnetic materials

82B26 Phase transitions (general)

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 14 (11 April 2008)

Received 19 November 2007, in final form 27 February 2008

Published 26 March 2008



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