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Resonant states in quantum wells: theoretical analysis of the density of states and phase times

M Hammouchi-+, E H El Boudouti-+, A Nougaoui-+ and B Djafari-Rouhani++

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The existence of sharp resonant states in a single quantum well separated from its semi-infinite substrate by a barrier layer is reported here. These resonances appear as well defined peaks in the density of states. The local and total densities of states are obtained from an analytical determination of the Green functions. The expressions of the transmission and reflection phase times are also derived and compared to the density of states. The positions of the peaks in the density of states enable us to study the energy levels of resonant states as a function of the thicknesses of the barrier and well layers. Specific applications of our analytical results are given in this paper for a bilayer sandwiched between two semi-infinite GaAs and media.


PACS

73.21.Fg Quantum wells

73.20.At Surface states, band structure, electron density of states

Subjects

Surfaces, interfaces and thin films

Nanoscale science and low-D systems

Dates

Issue 9 (9 March 1998)

Received 24 June 1997, in final form 8 December 1997



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