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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


     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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