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Master's Dissertation
DOI
10.11606/D.43.2007.tde-12012008-152711
Document
Author
Full name
Danilo Barbosa Liarte
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2007
Supervisor
Committee
Yokoi, Carlos Seihiti Orii (President)
Theumann, Walter Karl
Wreszinski, Walter Felipe
Title in Portuguese
Modelo de vidro de spin esférico antiferromagnético
Keywords in Portuguese
Modelo Esférico.
Transição de Fases
Vidros de Spin
Abstract in Portuguese
Neste trabalho investigamos as propriedades estáticas de um modelo de vidro de spin esférico antiferromagnético com interação de multi-spins por meio do método das réplicas. O objetivo consiste em modelar materiais antiferromagnéticos diluídos como FexMg1-xCl2 e compostos antiferromagnéticos mistos como FexMn1-xTiO3 que apresentam evidências de comportamento característico da fase vidro de spin para um intervalo de valores de concentração x. Analisamos a solução réplica simétrica e a solução de Parisi com uma etapa de quebra de simetria entre réplicas, a qual espera-se que seja a solução mais geral para este modelo. Quatro fases são obtidas no diagrama de fases: paramagnética, vidro de spin, antiferromagnética e antiferromagnética com quebra de simetria ou fase mista. As linhas de transição podem ser contínuas ou descontínuas.
Title in English
Antiferromagnetic spherical spin-glass model.
Keywords in English
Phase transitions
spherical model.
spin glasses
Abstract in English
In this work we investigate the static properties of a multi-spin antiferromagnetic spherical spin-glass model using the replica method. The aim is to try to model diluted antiferromagnetic materials (e.g. FexMg1-xCl2) and mixed antiferromagnetic compounds (e.g. FexMn1-xTiO3) that present evidences of a spin-glass behavior for certain range of x values. The replica-symmetric and the one-step replica-symmetry-breaking solution given by Parisi are analised, the last one being expected to be the most general solution for this model. Four phases are found in the phase diagram: paramagnetic, spin glass, antiferromagnetic and mixed or glassy antiferromagnetic phase. The transition lines may be either continuous or discontinuous.
 
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Publishing Date
2008-03-24
 
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