Apart from other factors, band alignment led conduction band offset (CBO)
largely affects the two dimensional electron gas (2DEG) density ns in wide
bandgap semiconductor based high electron mobility transistors (HEMTs). In
the context of assessing various performance metrics of HEMTs, rational
estimation of CBO and maximum achievable 2DEG density is critical. Here, we
present an analytical study on the effect of different energy band
parameters-energy bandgap and electron affinity of heterostructure
constituents, and lattice temperature on CBO and estimated 2DEG density in
quantum triangular-well. It is found that at thermal equilibrium, ns
increases linearly with ?EC at a fixed Schottky barrier potential, but
decreases linearly with increasing gate-metal work function even at fixed
?EC, due to increased Schottky barrier heights. Furthermore, it is also
observed that poor thermal conductivity led to higher lattice temperature
which results in lower energy bandgap, and hence affects ?EC and ns at
higher output currents.