Epitaxial Sc$_x$Al$_{1-x}$N on GaN is a High K Dielectric
Epitaxial Sc$_x$Al$_{1-x}$N thin films of ~100 nm thickness grown on metal polar GaN exhibit significantly enhanced relative dielectric permittivity ($ε_r$) values relative to AlN. $ε_r$ values of ~17 to 21 for Sc contents of 17 to 25% (x=0.17 to 0.25) measured electrically by capacitance-voltage (CV) measurements at 500 kHz frequency indicate Sc$_x$Al$_{1-x}$N has the largest relative dielectric permittivity of any existing nitride material. This points toward the usage of Sc$_x$Al$_{1-x}$N as potential epitaxial, single-crystalline dielectric material that can be deposited in situ on GaN and AlN electronic and photonic devices for enhanced performance.