Xr. Wang et Q. Niu, General analysis of instabilities and oscillations of the sequential tunneling in superlattices, PHYS REV B, 59(20), 1999, pp. R12755-R12758
We present a general analysis of instabilities and oscillations of the sequ
ential tunneling current in superlattices, based on the current-voltage cha
racteristic of a single barrier. Our results depend only on the presence of
a negative differential resistance region and are independent of the detai
ls of the model. We establish general conditions for the existence of a sta
ble oscillatory region of current-voltage characteristic of the superlattic
e, and for instability leading to current self-oscillation. Our formalism p
ermits a natural connection to standard results of chaos theory. [S0163-182
9(99)50520-1].