2010
DOI: 10.1080/00150191003670325
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The Role of Trilinear Couplings in the Phase Transitions of Aurivillius Compounds

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Cited by 51 publications
(52 citation statements)
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“…It is important to note that the trilinear term is not required to 'switch on' P , R 1 and R 2 , but it may in some cases [46]. That is, in most cases the two rotation distortions are both individually unstable, so the βR 2 1 and δR 2 2 terms in the free energy have β and δ negative at T = 0.…”
Section: (Srtiomentioning
confidence: 99%
See 1 more Smart Citation
“…It is important to note that the trilinear term is not required to 'switch on' P , R 1 and R 2 , but it may in some cases [46]. That is, in most cases the two rotation distortions are both individually unstable, so the βR 2 1 and δR 2 2 terms in the free energy have β and δ negative at T = 0.…”
Section: (Srtiomentioning
confidence: 99%
“…The primary and secondary distortions may condense at the same temperature (in a so-called avalanche transition [46]), or there may be a series of phase transitions, where at one temperature one of the rotations condenses and then at a second temperature the second rotation condenses (technically, this second phase transition would be a proper ferroelectric transition; the work of Tagantsev on 'weak' ferroelectrics most likely describes this type of transition [48]). Further experimental and theoretical investigations are currently underway to clarify this important issue.…”
Section: (Srtiomentioning
confidence: 99%
“…This requires the simultaneous condensation of the two tilt modes M5 − (a − a − c 0 ) and M2 + (a 0 a 0 c + ), which couple with the polar mode, Γ5 − . This special case of tri-linear coupling has been termed an "avalanche transition" [19]. Due to the temperature increments used in this experiment, we cannot fully rule out a possible intermediate phase of symmetry Pmam or P4/mbm but, if present, this must only exist in a narrow temperature interval around 700 to 750 °C.…”
Section: Discussionmentioning
confidence: 99%
“…This requires the simultaneous condensation of the two tilt modes M 5 − (a − a − c 0 ) and M 2 + (a 0 a 0 c + ), which couple with the polar mode, Γ 5 − . This special case of tri-linear coupling has been termed an "avalanche transition" [19]. ruled out these pathways by the observation of a clear SHG signal, signifying non-centrosymmetricity, and thus implying an avalanche transition in this composition also.…”
Section: Discussionmentioning
confidence: 99%
“…Still at this stage several important questions remain open regarding these materials. For example uncertainties remain concerning their finite temperature properties and in particular the phase transition mechanism [109]: for example are there single or consecutive phase transitions, or an avalanche mechanism [120]? Another central issue also concerns the ferroelectric switching path and associated energy barrier.…”
Section: Toward Electric Control Of the Magnetizationmentioning
confidence: 99%