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Geometric frustration: the case of triangular antiferromagnets

Abstract : This doctoral dissertation presents a thorough determination of the phase diagrams of classical Heisenberg triangular antiferromagnet (HTAF) and its anisotropic variants based on theoretical and numerical analysis (Monte Carlo). At finite-field HTAF exhibits a non-trivial interplay of discrete Z3 symmetry and continuous S1 symmetry. They are successively broken (discrete then continuous) with distinct features at low and high fields: in the latter case the ordering is along transverse direction; in the former case an intermediate collinear phase is stabilised before 120-degree structure is. Due to zero-field behaviour, transition lines close at (T,h) = (0,0). Single-ion anisotropy is here considered. Easy-axis HTAF for moderate anisotropy strength 0 < d
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Contributor : Pierre-Éric Melchy <>
Submitted on : Friday, November 19, 2010 - 10:42:59 AM
Last modification on : Wednesday, November 4, 2020 - 2:46:37 PM
Long-term archiving on: : Friday, October 26, 2012 - 4:00:34 PM


  • HAL Id : tel-00537747, version 1



Pierre-Éric Melchy. Geometric frustration: the case of triangular antiferromagnets. Data Analysis, Statistics and Probability []. Université de Grenoble, 2010. English. ⟨tel-00537747⟩



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