TY - JOUR KW - Temperature KW - Electric fields KW - Polarization KW - Ferroelectricity KW - Ferroelectric domains KW - Vortex flow KW - Electric-field control KW - First-order phase transitions KW - Oxide superlattices KW - Condensed matter physics KW - Characterization techniques KW - Ferroelectric phasis KW - Nonlinear optical response KW - Superlattice periods AU - A.R Damodaran AU - J.D Clarkson AU - Z Hong AU - H B Liu AU - A.K Yadav AU - C.T Nelson AU - S.-L Hsu AU - M.R McCarter AU - K.-D Park AU - V Kravtsov AU - A Farhan AU - Y Dong AU - Z Cai AU - H Zhou AU - P Aguado-Puente AU - P García-Fernández AU - J Íñiguez AU - J Junquera AU - A Scholl AU - M.B Raschke AU - L.-Q Chen AU - D.D Fong AU - Ramamoorthy Ramesh AU - L.W Martin AB - Systems that exhibit phase competition, order parameter coexistence, and emergent order parameter topologies constitute a major part of modern condensed-matter physics. Here, by applying a range of characterization techniques, and simulations, we observe that in PbTiO"3/SrTiO"3 superlattices all of these effects can be found. By exploring superlattice period-, temperature- and field-dependent evolution of these structures, we observe several new features. First, it is possible to engineer phase coexistence mediated by a first-order phase transition between an emergent, low-temperature vortex phase with electric toroidal order and a high-temperature ferroelectric a"1/a"2 phase. At room temperature, the coexisting vortex and ferroelectric phases form a mesoscale, fibre-textured hierarchical superstructure. The vortex phase possesses an axial polarization, set by the net polarization of the surrounding ferroelectric domains, such that it possesses a multi-order-parameter state and belongs to a class of gyrotropic electrotoroidal compounds. Finally, application of electric fields to this mixed-phase system permits interconversion between the vortex and the ferroelectric phases concomitant with order-of-magnitude changes in piezoelectric and nonlinear optical responses. Our findings suggest new cross-coupled functionalities. © 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved. BT - Nature Materials DO - 10.1038/NMAT4951 LA - eng M1 - 10 N1 - cited By 50 N2 - Systems that exhibit phase competition, order parameter coexistence, and emergent order parameter topologies constitute a major part of modern condensed-matter physics. Here, by applying a range of characterization techniques, and simulations, we observe that in PbTiO"3/SrTiO"3 superlattices all of these effects can be found. By exploring superlattice period-, temperature- and field-dependent evolution of these structures, we observe several new features. First, it is possible to engineer phase coexistence mediated by a first-order phase transition between an emergent, low-temperature vortex phase with electric toroidal order and a high-temperature ferroelectric a"1/a"2 phase. At room temperature, the coexisting vortex and ferroelectric phases form a mesoscale, fibre-textured hierarchical superstructure. The vortex phase possesses an axial polarization, set by the net polarization of the surrounding ferroelectric domains, such that it possesses a multi-order-parameter state and belongs to a class of gyrotropic electrotoroidal compounds. Finally, application of electric fields to this mixed-phase system permits interconversion between the vortex and the ferroelectric phases concomitant with order-of-magnitude changes in piezoelectric and nonlinear optical responses. Our findings suggest new cross-coupled functionalities. © 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved. PB - Nature Publishing Group PY - 2017 SP - 1003 EP - 1009 T2 - Nature Materials TI - Phase coexistence and electric-field control of toroidal order in oxide superlattices VL - 16 SN - 14761122 ER -