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WFD-1 Self organized structures in ferroelastic and co-elastic systems
Ekhard K.H. Salje Cambridge University, Downing Street, Cambridge CB2 3EQ, UK
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Self organized mesoscopic structures in ferroelastic materials display as basic
excitation mobile twin walls. These twin walls form hierarchical structures with
needles and corner domains (level 1), combs, zig-zag domains, multiple junctions
(level 2), and tweed and tartan structures (level 3). Walls and segments can easily be
modified chemically and ,sometimes, structurally so that they can be used as
templates for the fabrication of electronic devises (e.g. superconducting wall patterns
in insulating matrices for the formation of arrays of Josephson junctions).
In co-elastic structures the elastic degrees of freedom couple with order parameters
with different physical properties and, often, different symmetries. This disallows for
the formation of switchable domain patterns. Instead more complex patterns emerge,
often related to incommensurate phases (e.g. in quartz). In case of Dauphine twin
walls in quartz, it is shown that transport along the crystallographic c-axis is reduced
rather than enhanced while transport in the perpendicular directions is highly
anisotropic. It is argued that ions such as Li(+) are more mobile in the
incommensurate structure while their activation energy changes dramatically between
the two commensurate structures.
The tutorial is structured as follows:
・ I will introduce the non-linear elastic response in ferroelastic systems, based on
mobile domain walls.
・ The concept of wall trajectories and junction formation is introduced.
・ Modification of patterns close to surfaces are discussed.
・ It is demonstrated that the self energy of oxygen vacancies (as example) is
drastically reduced inside wall patterns, simultaneously transport and confinement
are enhanced.
・ The dynamical response of wall structures under external elastic forces is
demonstrated.
Reading Materials:
Salje, E.K.H. (1993)
Phase transitions in ferroelastic and co-elastic crystals,
Cambridge University Press 1993, ISBN 0521429366
Harrison, R. J., Redfern, S. A. T. , Buckley, A., and Salje, E. K. H. (2004)
Application of real-time, stroboscopic x-ray diffraction with dynamical
mechanical analysis to characterize the motion of ferroelastic domain walls
Journal of Applied Physics 95,1706-1717
Lee, W. T., Salje, E. K. H., Bismayer, U. (2003)
Domain wall diffusion and domain wall softening Journal of Physics: Condensed
Matter Volume: 15, 1353-1366
Calleja, M., Dove, M. T., Salje, E. K. H. (2003)
Trapping of oxygen vacancies on twin walls of CaTiO3: a computer simulation
study, Journal of Physics: Condensed Matter, 15, 2301-2307
Conti, S., Salje, E. K. H. (2001)
Surface structure of ferroelastic domain walls: a continuum elasticity approach
Journal of Physics: Condensed Matter, 13, L847-L854
Calleja, M.,Dove, M. T., Salje, E. K. H. (2001)
Anisotropic ionic transport in quartz: the effect of twin boundaries
Journal of Physics: Condensed Matter, 13, 9445-9454
Salje, E. K. H. (2000)
Ferroelasticity, Contemporary Physics, 41, 79-91
Aird, A., Salje, E. K. H. (1998)
Sheet superconductivity in twin walls: experimental evidence of WO3-x
Journal of Physics: Condensed Matter, 10, L377-L380
Salje, E. K. H., Ishibashi, Y. (1996)
Mesoscopic structures in ferroelastic crystals: needle twins and right-angled
domains
Journal of Physics: Condensed Matter, 8, 1-19
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