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Document Description
TitleMagnetic phase transitions and exchange interactions in TbMnO3 : symmetry analysis
AuthorAlam-Samimi, Arash, 1980-
DescriptionThesis (M.Sc.)--Memorial University of Newfoundland, 2009. Physics and Physical Oceanography
Paginationix, 57 leaves : col. ill.
SubjectElectromagnetism; Ferroelectricity; Magnetization; Manganese oxides--Analysis.
Degree GrantorMemorial University of Newfoundland. Dept. of Physics and Physical Oceanography
DisciplinePhysics and Physical Oceanography
NotesIncludes bibliographical references (leaves 53-57).
AbstractThis thesis is a theoretical approach to study the magnetic phase transitions and exchange interactions in the spiral magnet TbMnO3 by using group theory. First, we study the magnetic and ferroelectric transitions by considering the symmetry breaking associated with each transition. Second, we write the exchange interactions for the Mn magnetic ions in terms of the magnetic order parameters which are associated with various irreducible representations of the magnetic space group. Third, considering the exchange interactions and single ion anisotropy we examine the interactions on the whole lattice. -- The most general form of the exchange interactions for Mn atoms in TbMnO3 is formulated, including nearest neighbor and next-nearest neighbor interactions. Our phenomenological model also contains antisymmetric terms which lead to a mixing of spin-wave polarizations. It is found that for each exchange path there are six independent exchange terms, leading to a rather complicated Hamiltonian. -- Finally, equations of motions for spin waves are derived. Particular attention is given to the high-temperature phase (phase I) with the sinusoidal antiferromagnetic arrangement of spins and the incommensurate wave vector Q. The symmetric case and the degeneracy in the spin-wave spectrum in this phase are also discussed. More complex magnetic interactions lead to the spiral phase lying in the bc plane. This is the low-temperature phase (phase II) which needs further theoretical analyses.
Resource TypeElectronic thesis or dissertation
FormatImage/jpeg; Application/pdf
SourcePaper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries
Local Identifiera3242394
RightsThe author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
CollectionElectronic Theses and Dissertations
Scanning StatusCompleted
PDF File(6.89 MB) --
CONTENTdm file name62473.cpd