Here we discover spontaneous toroidal polar topology in an emerging ferroelectric liquid state with polarization helices, dubbed ‘helielectric nematic’. The interplay between liquid-crystal elasticity and polar interactions results in a continuous in-plane rotation of the polarization, producing a ...
Polar and toroidal electromechanical properties designed by ferroelectric nano-metamaterials - ScienceDirectFerroelectric nano-metamaterialsPiezoelectric responsePiezotoroidic responsePhase-field modelThe recent advance in metamaterials provides a promising route to efficiently tailor and design a variety of material...
www.nature.com/scientificreports OPEN Large and Tunable Polar- Toroidal Coupling in Ferroelectric Composite Nanowires toward received: 10 November 2014 accepted: 18 May 2015 Published: 23 June 2015 Superior Electromechanical Responses W. J. Chen1,3, Yue Zheng1,2,3 & Biao Wang1 The ...
In this paper, we mainly focus on the polar (magnetic) toroidal moment. Figure 1: Current density and magnetic moment distributions associated with the toroidal moment. Poloidal currents excited at the surface of (A) a sphere and (B) a toroid. (C) Equivalently, a ring of magnetic moments...
1. According to conformal mapping theory, the complex exponential function corresponds to a log-polar-to-Cartesian coordinate transformation. This conformal mapping transforms a line to a circle in two dimensions and performs a tube-to-toroidal mapping in 3D space. Here we adopt an afocal system ...
we demonstrate an efficient scheme to control the polar-toroidal multi-order (PTMO) states in ferroelectric nanowires. Two feasible strategies of controlling PTMO states by a combination of homogeneous electric field and torque are carried out in ferroelectric/paraelectric composite nanowires. This is po...