Over 10% of ${k}_{\text{eff}}^{{2}}$ Demonstrated by 2-GHz Spurious Mode-Free Sc_0.12Al_0.88N Laterally Coupled Alternating Thickness Mode Resonators

Abstract

In this letter, a group of laterally coupled alternating thickness (LCAT) mode resonators based on 12% scandium-doped aluminum nitride (Sc <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0.12</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0.88</sub> N) are reported. The LCAT mode resonators are realized in-house by sandwiching a layer of 1-μm-thick Sc <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0.12</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0.88</sub> N between the top two sets and the bottom two sets of interdigitated electrode (IDE) fingers, all made of molybdenum (Mo). The experimental results show that an effective electromechanical coupling coefficient (k <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">eff</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> ) of more than 10% and loaded quality factors (QL) as high as 870 are obtained, while the motional resistance of the resonators is kept as low as 0.68 Ω. The figure-of-merit (FoM) which is defined as k <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">eff</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> QL and phase velocity (vp) is subsequently derived to be 87 and 7840 m/s, respectively. By changing the pitch of the IDE fingers, the resonators can operate from 1.96 GHz to 2.11 GHz without significant perturbation to their performance, corresponding to a lithographic frequency tuning range of 7.5%. In addition, clean spectra without any spurious modes are obtained within a 1-GHz frequency range for all fabricated devices of various pitches, making a significant step forward in the commercialization path of the reported resonators in the applications of the highband selection filters integrated on a single chip for mobile communication.