Topological protection breakdown: a route to frustrated ferroelectricity
arXiv:2406.14646 · doi:10.1103/h6j7-cgwz
Abstract
Phases manifesting topological patterns in functional systems, like ferroelectric and ferromagnetic vortex superlattices, can manifest intricate and apparently ungovernable behavior, typical of frustrated non-ergodic states with high-dimensional energy landscapes. This is also the case for potassium-tantalate-niobate (KTN) crystals. These transparent ferroelectrics manifest remarkable but little-understood metastable domain patterns at optical (micrometer and above) scales near the cubic-to-tetragonal structural phase transition. Here, we formulate the Topological Breakdown Model based on the competition between intrinsic scales of domain-domain collinear and non-collinear interactions associated with polarization-charge screening. The model is able to explain observed KTN mesoscopic domain patterns and phase diagram as a function of temperature and external electric field. Findings include a precise set of sharp and broad percolative transitions that are experimentally verified, validating our model. Our study identifies the central role played by competing topologically protected states, identifying a fundamental link between topological protection and frustration that supports a hitherto unexplored functional non-ergodic arena.
arXiv comment12 pages, 9 figures and Supplementary Material
References in corpus (24)
- Spin current and magneto-electric effect in non-collinear magnets
- A monoclinic ferroelectric phase in the Pb(Zr1-xTix)O3 solid solution
- Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
- Knots and Particles
- Reconfigurable knots and links in chiral nematic colloids
- Griffiths phases and the stretching of criticality in brain networks
- Soliton-like magnetic domain wall motion induced by the interfacial Dzyaloshinskii-Moriya interaction
- Entropy-limited topological protection of skyrmions
- Skyrmion knots in frustrated magnets
- Hopfions emerge in ferroelectrics
- Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
- Interaction of Individual Skyrmions in Nanostructured Cubic Chiral Magnet
- A reassessment of the Burns temperature and its relationship to the diffuse scattering, lattice dynamics, and thermal expansion in the relaxor PMN
- Frustrated hierarchical synchronization and emergent complexity in the human connectome network
- Atomic-scale observations of electrical and mechanical manipulation of topological polar flux-closure
- Ice Rule and Emergent Frustration in Particle Ice and Beyond
- Geometric frustration in compositionally modulated ferroelectrics
- Dzyaloshinskii-Moriya interaction and spin-orbit torque at the Ir/Co interface
- Laplacian paths in complex networks: information core emerges from entropic transitions
- Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
- Constraint-free wavelength conversion supported by giant optical refraction in a 3D perovskite supercrystal
- Microscopic Origin of the Electric Dzyaloshinskii-Moriya Interaction
- Networks with many structural scales: a Renormalization Group perspective
- Relaxors, spin-, Stoner- and cluster-glasses