Quantum diffraction of two-dimensional electrons by a periodic array o
f nanoscale quantum antidots is considered in the channel of a high mo
bility field effect transistor. A charge control model within a self-c
onsistent analysis shows that the current characteristics of the new a
nti-dot diffraction field effect transistor exhibits tunable negative
differential resistance and hysteresises which could persist above nit
rogen temperature. (C) 1997 American Institute of Physics.