Oe. Raichev et Ft. Vasko, EDGE-INDUCED MODIFICATION OF TUNNEL MIXING AND RESISTANCE RESONANCE IN DOUBLE-QUANTUM-WELL STRIPS, Physical review. B, Condensed matter, 57(19), 1998, pp. 12350-12359
The electron spectrum and conductivity of a finite-width double-quantu
m-well system (a DQW strip) are studied theoretically. The difference
between the edge potentials for left and right wells modifies tunnel m
ixing at the edges and causes redistribution of the wave function betw
een the wells. As a result, the description of electronic eigenstates
in the DQW strip changes essentially in comparison to the case of an i
nfinite DQW plane. The edge effect significantly modifies the electric
al conductivity of a DQW strip with nonsymmetric scattering when the w
idth of the strip is less than the mean free path length of electrons.
In particular, we find (i) the suppression of the resistance resonanc
e peak, (ii) the asymmetry of this peak, and (iii) the oscillations of
the resistivity upon the background of the peak. All these features a
re manifestations of a quantum size effect in conductivity appearing w
hen the strip width becomes comparable to the tunnel coherence length,
the latter being essentially longer than the wavelength of electrons
with Fermi energy. [S0163-1829(98)02019-0].