TY - JOUR KW - Simulation KW - Steady state KW - Polarization KW - Electric field KW - Chemical structure KW - Electrical parameters KW - Priority journal KW - Electric capacitance KW - Letter KW - Scanning transmission electron microscopy KW - X-ray Diffraction KW - Energy density KW - Ferroelectric dielectric heterostructure KW - Negative capacitance AU - A.K Yadav AU - K.X Nguyen AU - Z Hong AU - P García-Fernández AU - P Aguado-Puente AU - C.T Nelson AU - S Das AU - B Prasad AU - D Kwon AU - S Cheema AU - A.I Khan AU - C Hu AU - J Íñiguez AU - J Junquera AU - L.-Q Chen AU - D.A Muller AU - Ramamoorthy Ramesh AU - S Salahuddin AB - Negative capacitance is a newly discovered state of ferroelectric materials that holds promise for electronics applications by exploiting a region of thermodynamic space that is normally not accessible1–14. Although existing reports of negative capacitance substantiate the importance of this phenomenon, they have focused on its macroscale manifestation. These manifestations demonstrate possible uses of steady-state negative capacitance—for example, enhancing the capacitance of a ferroelectric–dielectric heterostructure4,7,14 or improving the subthreshold swing of a transistor8–12. Yet they constitute only indirect measurements of the local state of negative capacitance in which the ferroelectric resides. Spatial mapping of this phenomenon would help its understanding at a microscopic scale and also help to achieve optimal design of devices with potential technological applications. Here we demonstrate a direct measurement of steady-state negative capacitance in a ferroelectric–dielectric heterostructure. We use electron microscopy complemented by phase-field and first-principles-based (second-principles) simulations in SrTiO3/PbTiO3 superlattices to directly determine, with atomic resolution, the local regions in the ferroelectric material where a state of negative capacitance is stabilized. Simultaneous vector mapping of atomic displacements (related to a complex pattern in the polarization field), in conjunction with reconstruction of the local electric field, identify the negative capacitance regions as those with higher energy density and larger polarizability: the domain walls where the polarization is suppressed. © 2019, Springer Nature Limited. BT - Nature DO - 10.1038/s41586-018-0855-y LA - eng M1 - 7740 N1 - cited By 35 N2 - Negative capacitance is a newly discovered state of ferroelectric materials that holds promise for electronics applications by exploiting a region of thermodynamic space that is normally not accessible1–14. Although existing reports of negative capacitance substantiate the importance of this phenomenon, they have focused on its macroscale manifestation. These manifestations demonstrate possible uses of steady-state negative capacitance—for example, enhancing the capacitance of a ferroelectric–dielectric heterostructure4,7,14 or improving the subthreshold swing of a transistor8–12. Yet they constitute only indirect measurements of the local state of negative capacitance in which the ferroelectric resides. Spatial mapping of this phenomenon would help its understanding at a microscopic scale and also help to achieve optimal design of devices with potential technological applications. Here we demonstrate a direct measurement of steady-state negative capacitance in a ferroelectric–dielectric heterostructure. We use electron microscopy complemented by phase-field and first-principles-based (second-principles) simulations in SrTiO3/PbTiO3 superlattices to directly determine, with atomic resolution, the local regions in the ferroelectric material where a state of negative capacitance is stabilized. Simultaneous vector mapping of atomic displacements (related to a complex pattern in the polarization field), in conjunction with reconstruction of the local electric field, identify the negative capacitance regions as those with higher energy density and larger polarizability: the domain walls where the polarization is suppressed. © 2019, Springer Nature Limited. PB - Nature Publishing Group PY - 2019 SP - 468 EP - 471 T2 - Nature TI - Spatially resolved steady-state negative capacitance VL - 565 SN - 00280836 ER -