Local density of states in double-barrier resonant-tunneling structures. II. Finite-width barriers

The local density of states (DOS) in the quantum-well region of a double-barrier resonant-tunneling structure is calculated for the case of zero applied bias. As the barrier potential V₀ goes to zero, the local DOS approaches an E1/2 behavior; as V₀ goes to infinity, a staircaselike local DOS is obtained. A one-dimensional DOS, characterized by a fixed momentum transverse to the barriers, goes like E^-1/2 as V₀ goes to zero and like a series of {δ} functions in the limit of infinite V₀. The behavior of these local-DOS functions is examined for physically realizable structures.