| Literature DB >> 29380606 |
Christian Rinaldi1,2, Sara Varotto1, Marco Asa1, Jagoda Sławińska3, Jun Fujii4, Giovanni Vinai4, Stefano Cecchi5, Domenico Di Sante6, Raffaella Calarco5, Ivana Vobornik4, Giancarlo Panaccione4, Silvia Picozzi3, Riccardo Bertacco1,2.
Abstract
The electric and nonvolatile control of the spin texture in semiconductors would represent a fundamental step toward novel electronic devices combining memory and computing functionalities. Recently, GeTe has been theoretically proposed as the father compound of a new class of materials, namely ferroelectric Rashba semiconductors. They display bulk bands with giant Rashba-like splitting due to the inversion symmetry breaking arising from the ferroelectric polarization, thus allowing for the ferroelectric control of the spin. Here, we provide the experimental demonstration of the correlation between ferroelectricity and spin texture. A surface-engineering strategy is used to set two opposite predefined uniform ferroelectric polarizations, inward and outward, as monitored by piezoresponse force microscopy. Spin and angular resolved photoemission experiments show that these GeTe(111) surfaces display opposite sense of circulation of spin in bulk Rashba bands. Furthermore, we demonstrate the crafting of nonvolatile ferroelectric patterns in GeTe films at the nanoscale by using the conductive tip of an atomic force microscope. Based on the intimate link between ferroelectric polarization and spin in GeTe, ferroelectric patterning paves the way to the investigation of devices with engineered spin configurations.Entities:
Keywords: Germanium telluride; Rashba effect; ferroelectricity; spin−orbitronics
Year: 2018 PMID: 29380606 PMCID: PMC6994063 DOI: 10.1021/acs.nanolett.7b04829
Source DB: PubMed Journal: Nano Lett ISSN: 1530-6984 Impact factor: 11.189
Figure 1GeTe(111) surfaces with opposite FE polarization. (a, a′) Sketch of the Ge and Te planes for the Te and Ge termination, respectively. The distances given on the left refer to the unrelaxed interlayer distances. Only the topmost surface atoms of the slab are shown. The black rectangle denotes a bulk hexagonal unit cell used in DFT calculations as a building block to construct the (111) surface (rhombohedral setting, corresponding to the (0001) in the hexagonal setting). The net FE polarization Pout (Pin) (white arrows) arises from the interatomic dipoles shown with blue and red arrows. (b, b′) Piezoresponse-phase images recorded on STe (SGe) after poling with the tip at +7 V (−7 V) and −7 V (+7 V) over two concentric squares of 1.5 and 0.5 μm per side. The scale bar corresponds to 0.5 μm. (c, c′) PFM-phase signal showing the pristine polarization state and the ferroelectric hysteresis loop, as measured ex-situ on STe and SGe after the S-ARPES experiment. The controlled thermal desorption of the Te capping layer leads to a virgin-state FE polarization Pout and Pin in the two samples, respectively.
Figure 2DFT calculations of GeTe(111) surfaces with different terminations. (a) Density of states (spectral function) of Te-terminated GeTe(111) surface with outward polarization, projected on bulk (deep pink) and surface (yellow) principal layers calculated via Green’s functions technique for the semi-infinite model of the surface. Brighter tones of pink (yellow) bands indicate higher intensity of bulk (surface) features. High-symmetry directions used for the calculation of band dispersions are defined in panel d. (b) Corresponding k-resolved spin polarization along the high-symmetry directions. Due to its complexity, we show only the in-plane components perpendicular to k. The in-plane component parallel to wave vector is zero within the whole Brillouin zone. (c) Schematic picture of the spin texture in main bulk bands extracted from panels a and b at E = −0.5 eV; the arrows denote the direction of the in-plane projection of the spin for inner and outer bands. (a′–c′) Same as panels a–c for Ge-terminated surface, with polarization inward. The Fermi level here has been shifted to align the bulk bands of Te- and Ge-terminated surfaces. (d) Brillouin zone of hexagonal surface and bulk unit cells; the gray square marks the area displayed in panels c and c′. Dashed vertical lines in a and a′ indicate the k points used for the spin analysis reported in Figure .
Figure 4Spin-resolved ARPES from Te-rich and Ge-rich samples. Panels a–g refer to the Te-rich sample STe with outward polarization. (a) Calculated bulk bands (solid line) along ZU (k) over the 2nd derivative of the measured band dispersion. (b, c) Spin-polarized spectra and spin asymmetry at fixed wave vector k indicated in panel a. The two peaks correspond to the intersection of bulk Rashba bands B1 and B2 with the vertical dashed line at k (panel a). (d, e) Spin-polarized spectra and spin asymmetry at opposite wave vector –k. (f, g) Constant energy maps at 0.18 and 0.5 eV BE, corresponding to the energy of bulk bands B1 and B2 at k1, in nice agreement with the peaks of opposite spin polarizations in panels c and e. Blue and red arrows indicate the sense of circulation of spins: clockwise in the outer band and counterclockwise in the inner one. Panels a′–g′ refer to the case of the Ge-rich sample SGe. (b′–e′) Spin analysis for opposite wave vectors k and –k, where the Rashba splitting is maximized. (f′, g′) Constant energy maps at 0 eV (top of B1) and 0.26 eV BE, corresponding to the energy of bulk bands B1 and B2 at k (panel a′). The sense of circulation of spins is opposite to that found for STe: counterclockwise in the outer band and clockwise in the inner band (panel g′).
Figure 3ARPES from Te-rich and Ge-rich samples. Panels a–h refer to the Te-rich sample STe with outward polarization. (a, b) Experimental bands dispersion collected along the principal directions ZA (k) and ZU (k) in the Brillouin zone. (c–e) Constant energy maps at 0, 0.25, and 0.5 eV below the Fermi energy. (f–h) Corresponding calculated constant energy maps with yellow and pink indicating the surface and bulk character of states, respectively. Panels labeled by the apex (panels a′–h′) are the same as above but for the Ge-rich sample SGe with inward polarization. The Fermi level in panels f′–h′ is chosen to be consistent with Figure .
Figure 5FE domains and spin texture patterning at the nanoscale. (a) Sketch of the writing procedure to obtain a sequence of Rashba barriers using the conductive tip of an AFM on a sample with pristine polarization outward, prepared as for sample STe above or by sweeping the tip with a negative voltage (Vtip = −10 V). Lines of inward polarization are written with opposite bias (Vtip = 10 V). The distance between lines is 600 nm, and their width about 300 nm. (b) PFM-phase signal measured along the y direction, perpendicular to the lines. (c) PFM-phase image of the ferroelectric domain pattern.