A. Kamenev et Y. Gefen, (ALMOST) EVERYTHING YOU ALWAYS WANTED TO KNOW ABOUT THE CONDUCTANCE OF MESOSCOPIC SYSTEMS, International journal of modern physics b, 9(7), 1995, pp. 751-802
We present a systematic analysis of the average complex conductance of
an ensemble of disordered mesoscopic conductors. It is argued that mu
ltiply connected Aharonov-Bohm rings are particularly amenable to this
study, and reflect certain general features of the problem. Two ingre
dients are shown to be crucial in this context: (i) the ratio between
the mean level spacing and the inelastic broadening of each level and
(ii) the type of the statistical ensemble employed. Correspondingly, w
e distinguish between continuous and discrete spectrum limits and betw
een canonical and grand canonical statistical ensembles. The conductan
ce varies qualitatively as either of these two ingredients is changed.
Analytical results for the conductance as a function of the magnetic
flux, frequency and temperature are obtained in each limiting case. In
particular, the sign of the d.c. (w --> O) magnetoconductance may cha
nge between the two limits. We also discuss the effect of electron-ele
ctron interaction.